Questions

11 Let f be a function defined and continuous on the closed interval a b Iff has a relative maximum at c and a c b which of the following must be true I f c must exist II If f c exists then f c 0 III If c exists then c 0 A II and III only C III only B I and III only D II only SE

Describe the ideas OC Perspective is a tool artists use to capture depth and volume on a two dimensional canvas The most important principle of perspective is that all lines that are perpendicular in the real scene and parallel to the canvas must intersect at the horizon line of the painting D Perspective is a tool artists use to capture depth and volume on a two dimensional canvas The most important principle of perspective is that all lines that are parallel in the real scene and perpendicular to the canvas must intersect at the principal vanishing point of the painting Describe symmetry Choose the correct answer below OA Symmetry can refer to a kind of balance a repetition of patterns or the characteristic of an object remaining unchanged under certain operations Three common symmetries are asymmetry rotation symmetry and translation symmetry OB Symmetry can refer to a kind of balance a repetition of patterns or the characteristic of an object remaining unchanged under certain operations Three common symmetries are reflection symmetry rotation symmetry and asymmetry OC Symmetry can refer to a kind of balance a repetition of patterns or the characteristic of an object remaining unchanged under certain operations Three common symmetries are reflection symmetry rotation symmetry and translation symmetry OD Symmetry can refer to a kind of balance a repetition of patterns or the characteristic of an object remaining unchanged under certain operations Three common symmetries are reflection symmetry asymmetry and translation symmetry

triangle ABC is a 30 60 90 degree right triangle where vertice A 2 8 and B 2 4 is the hypotenuse and point C is in quadrant IV What are the coordinates of point C

8 True False If the statement is true then simply write True Otherwise write False and explain why Credit will be given only for correct explanations 4 points each a For an arbitrary function fif lim f x L then f a L x a b lim X 2 1 x x 2 18 c The limit lim cos X 0 1 d The limit lim x cos X 0 d The limit lim X COS X 1 X does not exist does not exist does not exist

1 Describe the biological roles of the viral capsids in the virus life cycle 2 Estimate the T number of the sculpture shown in Figure below Estimate how many sheets of glass are needed to assemble the sculpture An icosahedral sculpture An icosahedral sculpture is often used by architects A dome structure built in roof of a building at Yonsei University in Korea A triangular facet is evident by linking three fivefold axes of symmetry the white dot 3 Describe two methods that are utilized to obtain a high resolution image of a virus particle structure And compare

A circle of fourths is generated by starting at any note and stepping upward by intervals of a fourth five half steps By what factor is the frequency of a tone increased if it is raised by a fourth How many fourths are required to complete the entire circle of fourths How many octaves are covered in a complete circle of fourths By what factor is a frequency increased if it is increased by a fourth Round to three decimal places as needed

3 1 A 520 ft long equal tangent crest vertical curve connects tangents that intersect at station 340 00 and elevation 1325 ft The initial grade is 4 0 and the final grade is 2 5 Determine the elevation and stationing of the high point PVC and PVT

What is the frequency of the note seven half steps below middle A which has a frequency of 437 cps sixteen half steps below middle A The frequency seven half steps below middle A is cps Round to the nearest integer as needed HELED

2 Estimate the T number of the sculpture shown in Figure below Estimate how many sheets of glass are needed to assemble the sculpture icosahedral sculpture An icosahedral sculpture is often used by architects A dome structure built in roof of a building at Yonsei University in Korea A triangular facet is evident by linking three fivefold axes of symmetry the white dot

road with lanes A is known to s 520 ft and the PI is 2600 whicle speed the ave a coefficient 3 52 A freeway exit ramp has a single lane and consists entirely of a horizontal curve with a central angle of 90 degrees and a length of 628 ft If the distance cleared from the centerline for sight distance is 19 4 ft what design speed was used 252 Fox 10

to provide for uidelines dictate t ft What is the curve ne highway 10 h with a 6 f the curve is 35 3 49 You are asked to design a horizontal curve with a 40 degree central angle A 40 for a two lane road with 11 ft lanes The design speed is 70 mi h and superelevation is limited to 0 06 ft ft Give the radius degree of curvature and length of curve that you would recommend

ed for o final s eye that is 3 11 An equal tangent crest vertical curve is designed with a PVI at station 110 00 elevation 927 2 ft and a PVC at station 107 43 3 elevation 921 55 ft If the high point is at station 110 75 5 what is the design speed of the curve 3 12 An equal tangent crest vertical curve connects a

designed for 70 mi h What is the station of the PT 3 44 A horizontal curve is being designed through mountainous terrain for a four lane road with lanes that are 10 ft wide The central angle A is known to be 40 degrees the tangent distance is 520 ft and the stationing of the tangent intersection PI is 2600 00 Under specified conditions and vehicle speed the roadway surface is determined to have a coefficient of side friction of 0 08 and the curve s superelevation is 0 09 ft ft What is the stationing of the PC and PT and what is the safe vehicle speed

Let Co C1 Cn EC be distinct Show that 12 f g f c g i 1

Which graph could be the graph of f x log x 4 3 2 sy 2 3 141 3 P PH 2 34 2 2 3 3 4

3 43 A horizontal curve on a single lane highway has its PC at station 123 70 and its PI at station 130 90 The curve has a superelevation of 0 06 ft ft and is designed for 70 mi h What is the station of the PT ramp is 45 m of the how m

f the curve and has an 1 0 The t a point on 245 ft What What is the 3 13 A 1200 ft equal tangent crest vertical curve is SS currently designed for 50 mi h A civil engineering student contends that 60 mi h is safe in a van because of the higher driver s eye height If all other design inputs are standard what must the driver s eye height in the van be for the student s claim to be valid

Suppose that X is a Poisson random variable with 6 a Compute the exact probability that X is less than four b Approximate the probability that X is less than four and compare to the result in part c Approximate the probability that 8 X 12

Graph the function x x 1 for x 1 5x 5 for x 1

The thickness of a flange on an aircraft component is uniformly distributed between 0 95 and 1 05 millimeters while the probability density function is 10 Determine the following a Cumulative distribution function of flange thickness b Proportion of flanges that exceeds 1 02 millimeters c Thickness exceeded by 90 of the flanges d Mean and variance of flange thickness

4 Size Complete the table below Unique structures Shape Locomotion Amoebas Foraminiferans and Radiolarians Flagellates C

4 Heights of adult women have a mean of 63 6 in and a standard deviation of 2 5 in Does Chebyshev s Theorem say about the percentage of women with heights between 58 6 in and 68 6 in

Part II Free Response Graphing Calculator Permitted Be sure to show all your work Point values are given in 6 h graph of f x 5 Let be a differentiable function defined on the interval 6 x 6 The figure above shows the graph of the derivative off which consists of 3 line segments and a semi circle on the interval 6 x 6 a State the critical values of f x on 6 x 6 and classify each as the location of a relative minimum relative maximum or neither of the graph of f x Justify your answer 3 points b On what interval s contained on 6 x 6 is f x increasing Justify your answer 2 points c For what value s of x contained on 6 x 6 does f x have a point of inflection Justify your answer 2 points d On what open interval s contained on 6 x 6 is f x simultaneously concave up and decreasing Justify your answer 2 points

4 4 9 x 18 2x 5 10 4 x 3 Xx 8 16x Determine which expressions if any are 6x 2 x

A national newspaper reported that the state with the longest mean life span is Hawaii where the population mean life span is 74 years A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span in years of Honolulu residents X 72 68 81 93 56 19 78 94 83 84 47 66 69 85 97 75 71 86 S 77 USE SALT a Use a calculator with sample mean and standard deviation keys to find and s in years Round your answers to four decimal places x x b Assuming that life span in Honolulu is approximately normally distributed does this information indicate that the population mean life span for Honolulu residents is less than 74 years Use a 5 level of significance 1 What is the level of significance 0 05 27 State the null and alternate hypotheses in years Enter for as needed Ho 74 H X ii What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution and is unknown We ll use the standard normal since we assume that x has a normal distribution and a is known We ll use the Student s t since we assume that x has a normal distribution and is unknown We ll use the Student s t since we assume that x has a normal distribution and o is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places iii Estimate the P value P value 0 250 0 100 P value 0 250 0 050 P value 0 100 0 010 P value 0 050 P value 0 010

5 Saprolegnia a parasitic water mold parasitizes 9 and has a cell wall composed of unlike the true fungi which have cell walls composed of

The drive wheel of an engine is 19 inches in diameter and the pulley on the rotary pump is 11 inches in diameter If the shafts of the drive wheel and the pulley are 2 feet apart what length of belt is required to join them as shown in the figure The length of the belt isin Round to the nearest hundredth as needed 9 5 in 2 ft 5

Which statement s or characteristic s is are not true for the plantlike protists algae Circle all correct answers a They are a diverse group that includes diatoms to multicellular kelp b They are photoautotrophs c They have chlorophyll a and membrane bound plastids d Examples include Spirogyra Volvox Polysiphonia and Euglena e They do not undergo conjugation

Traditionally Protista has been called a kingdom yet it is now recognized as a polyphyletic group What is the likely future of the kingdom Protista

How have the protists traditionally been classified

6 Where on the cell are the conjugating Paramecium caudatum joined

2 Match the parasitic flagellate with the vector Triatomine or kissing bug Sand flies Tsetse fly A Leishmania sp B Trypanosoma cruzi C Trypanosoma brucei

5 Briefly describe the purpose of conjugation in paramecia

3 What is unique about Giardia and Trichomonas How are they changing taxonomy

4 Describe the action of the contractile vacuole of the Paramecium in a hypotonic solution

3 What is a mixotroph Give an example of a plantlike protist that is considered a mixotroph

A baseball diamond has the shape of a square with sides 90 feet long see figure A player running from second base to third base at a speed of 27 feet per second is 24 feet from third base At what rate in ft sec is player s distance from home plate changing Round your answer to two decimal places 3rd ft sec Home

If y a cos x b sin x is a solution of y y 5 sin x 5 cos x then enter only a number

A major league baseball pitcher throws a pitch that follows these parametric equations x t 143t y t 16t 4t 5 The time units are seconds and the distance units are feet The distance between the location of the pitcher and homeplate where the batter stands is 60 5 feet Give EXACT answers unless instructed otherwise a Calculate the horizontal velocity of the baseball at time t this is the function x t b What is the horizontal velocity of the baseball when it passes over homeplate c What is the vertical velocity of the baseball at time t this is the function y t d Recall that the speed of the baseball at time t is s t x t y t ft sec What is the speed of the baseball in mph when it passes over homeplate mph e At what time does the baseball hit the ground assuming the batter and catcher miss the ball f What is the magnitude of the angle at which the baseball hits the ground ft sec ft sec ft sec sec rad This is the absolute value of the angle between the tangential line to the path of the ball and the ground Give your answer in radians to three decimal places

Inscribe a circle inside of a triangle and then form a triangle with each of the tangent points Show that o 90 B

The Student s t distribution table gives critical values for the Student s t distribution Use an appropriate d f as the row header For a right tailed test the column header is the value of a found in the one tail area row For a left tailed test the column header is the value of a found in the one tail area row but you must change the sign of the critical value t to t For a two tailed test the column header is the value of a from the two tail area row The critical values are the it values shown Pyramid Lake is on the Paiute Indian Reservation in Nevada The lake is famous for cutthroat trout Suppose a friend tells you that the average length of trout caught in Pyramid Lake is 18 9 inches However a survey reported that of a random sample of 46 fish caught the mean length was X 18 3 inches with estimated standard deviation s 2 8 inches Do these data indicate that the average length of a trout caught in Pyramid Lake is less than 18 9 inches Use a 0 05 Solve the problem using the critical region method of testing i e traditional method LAUSE SALT State the null and alternative hypotheses in inches Enter for as needed Ho 18 9 H 18 9 x Calculate the appropriate test statistic Round your answer to two decimal places State the critical region s Round your answers to three decimal places If the test is one tailed enter NONE for the unused region test statistic

from this horse in mg 100 ml The sample mean is x 94 50 Let x be a random variable representing glucose readings taken from Gentle Ben We may assume that x has a normal distribution and we know from past experience that 12 5 The mean glucose level for horses should be 85 mg 100 ml Do these data indicate that Gentle Ben has an overall average glucose level higher than 85 Use a 0 05 95 90 84 103 101 110 86 87 a What is the level of significance 0 05 State the null and alternate hypotheses in mg 100 ml Enter for as needed Ho 85 H 85 Will you use a left tailed right tailed or two tailed test left tailed Oright tailed Otwo tailed X b What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution with known Compute the z value of the sample test statistic Round your answer to two decimal places X O We ll use the Student s t since we assume that x has a normal distribution with known o We ll use the Student s t since n is large with unknown o We ll use the standard normal since we assume that x has a normal distribution with unknown c Find the P value Round your answer to four decimal places P value X O Sketch the sampling distribution and show the area corresponding to the P value 3 2 1 0 1 2 3 3 2 1 0 1 2 3 OM 3 2 1 3 2 1 0 1 0 1 2 2 3 3

Unfortunately arsenic occurs naturally in some ground water A mean arsenic level of 8 0 parts per billion ppb is considered safe for agricultural use A well in Texas is used to water cotton crops This well is tested on a regular basis for arsenic A random sample of 41 tests gave a sample mean of x 7 1 ppb arsenic with s 2 2 ppb Does this information indicate that the mean level of arsenic in this well is less than 8 ppb Use 0 01 LUSE SALT a What is the level of significance 0 01 State the null and alternate hypotheses in parts per billion Enter for as needed Ho 8 H 8 b What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since the sample size is large and is known We ll use the Student s t since the sample size is large and o is unknown We ll use the standard normal since the sample size is large and is unknown We ll use the Student s t since the sample size is large and o is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places c Estimate the P value P value 0 100 0 050 P value 0 100 0 010 P value 0 050 0 005 P value 0 010 P value 0 005

Part 1 of 3 One year consumers spent an average of 24 on a meal at a resturant Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is 4 Complete pa through c below a What is the probability that a randomly selected person spent more than 26 P X 26 Round to four decimal places as needed Points 0 of 6 www

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes an automobile valued at 23 000 a 150 gas card or a 5 shopping card To claim his or her prize a prospective customer needed to present the flier at the dealership s showroom The fine print on the back of the flier listed the probabilities of winning The chance of winning the car was 1 out of 31 758 the chance of winning the gas card was 1 out of 31 758 and the chance of winning the shopping card was 31 756 out of 31 758 Complete parts a through d E a How many fliers do you think the automobile dealership sent out Assume there is one car and one gas card available fliers

Find the frequencies of the 12 notes of the scale that starts at the F above middle C this F has a frequency of 368 cycles per second Complete the table below Note Frequency cps 368 F Note Frequency cps G G A A B Round to the nearest integer as needed D D 315

Start at the C above middle A with a frequency of 520 cps Using the whole number ratios in the accompanying table find the frequency if C is raised by a fifth to G What is the frequency if this G is then raised by a fifth to D What is the frequency if this D is then lowered by a sixth to F What is the frequency if this F is then lowered by a fourth to C Has returning to the same note also returned to the same frequency Explain Click the icon to view a table of note frequencies The frequency when C is raised by a fifth to G is Type an integer or a decimal cps

asset 2 Why is the world a better place because I m in it 3 What is your most vivid memory of my childhood 4 What is the nicest thing I have ever done for you 5 What do you see me doing in 10 years 6 Can you suggest an item that would signify what type of person I am

Find the frequencies of the 12 notes of the scale that starts at the F above middle C this F has a frequency of 368 cycles per second Complete the table below Note Frequency cps 368 F G G A A B Round to the nearest integer as needed Note Frequency cps C C D D E F

If P A 0 4 P B 0 8 and P A and B 0 4 are A and B independent O A Yes OB No OC Not enough information