Questions

Find all solutions to each of the following triangles 7 A 38 a 41 feet b 54 feet 8 A 43 a 31 feet b 37 feet 9 A 112 2 a 43 centimeters b 22 centimeters 10 B 30 b 42 centimeters a 84 centimeters 11 B 118 b 68 centimeters a 92 centimeters 12 A 124 3 a 27 centimeters b 50 centimeters 13 A 142 b 2 9 yards a 1 4 yards 14 A 65 b 7 6 yards a 7 1 yards 15 C 26 8 c 36 8 kilometers b 36 8 kilometers

Problem 2 10 points Let f x x1 5 3x 22x 99 a Find the critical points of f x on 1 2

Approximate the area under the curve graphed below from x approximation with 4 subdivisions 3 to x 7 using a Left En You will need to approximate the function values using the graph 5 4 3 2 1 1 2 3 A 4 5 6 7 Poot 8

25 Angle of Elevation Figure 11 is a diagram that shows how Colleen estimates the height of a tree that is on the other side of a stream She stands at point A facing the tree and finds the angle of elevation from A to the top of the tree to be 51 Then she turns 105 and walks 25 feet to point B where she measures the angle between her path and a line to the base of the tree and finds that angle to be 44 Use this information to find the height of the tree D h A FIGURE 11 B

21 Angle of Depression A man is flying in a hot air balloon in a straight line at a constant rate of 5 feet per second while keeping it at a constant altitude As he approaches the parking lot of a market he notices the angle of depression from his balloon to a friend s car in the parking lot is 35 A minute and a half later after flying directly over his friend s car he looks back to see his friend getting into the car and observes the angle of depression to be 36 At that time what is the distance between him and his friend Give your answer to the nearest foot

Each problem that follows refers to a triangle ABC 1 If A 40 B 60 and a 12 centimeters find b

What are the two hormones combined in oral contraceptives or the pill A Dopamine and serotonin B Prolactin and oxytocin C Estrogen and progestin D Estrogen and testosterone

XYZ Corporation invests 6 000 into 91 day treasury bills with an interest rate of 1 6 If the broker charges a 30 commission what is the yield yield

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line about x 3 Volume y 1 x5 y 0 x 3 x 4

men is a permanent sterilization surgery meant fo A Vasectomy B Hysterectomy C Pelvic organ prolapse C None of th

Using condoms can cause erectile dysfunction A True B False

Which enzyme makes 5 3 phosphodiester bonds a Helicase b Endonuclease c Topoisomerase d Exonuclase

Introducing this increasingly widespread metaphorical style to the public was a curatorial challenge for museums When organizing The Family of Man an exhibi tion that celebrated universal humanism at the Museum of Modern Art Edward Steichen thought Wynn Bullock s 1902 1975 image Child in Forest symbolized the mythical first woman and he chose it as the show s opening piece Steichen selected Bullock because he believed the photographer s visual language joined the natural environment with the abstract symbolism of the inner world in an ac cessible manner Although the composition of Bullock s work is highly structured the authority of his images lies in their ambiguous temperament that expresses his belief that reality is constructed through personal experience 29 The Family of Man exhibition and book was the major American photographic event of the 1950s Organized by Steichen the director of the Department of Photography at MOMA 1947 1962 as a mirror of the essential oneness of mankind 30 it had a highly enthusiastic public reception in 1955 31 Working on the proposition that photography was a universal language Steichen assembled 508 images from 68 countries by 273 photographers into a giant three dimen sional magazine layout To match its democratic premise that people were all the same Steichen did not treat the photographs as individual works but as pieces of a larger tapestry just as in magazine practice where photographers give up con trol over image quality size placement and context This set aside the achieve ments of individual photographers to support Steichen s collective curatorial stance Jacob Deschin the photography critic for The New York Times called it es editorial achievement Ifor Ste Discussion Board Posts 25 total As a measure of your participation you will write 200 word minin responses to the readings as well as responding to at least one oth post In these posts I want to see concrete examples where you critically reflect on the readings This can include citing specific photographs and photographers theoretical connections between different readings ideas themes and or the author s own argumen

Listen The best classification system is that which most closely a corroborates the classification scheme in use at the time of Charles Darwin b conforms to traditional Linnaean taxonomic practices c reflects evolutionary history d reflects the basic separation of prokaryotes from eukaryotes e unites organisms that possess similar morphologies

What are the health benefits associated with oral contraception A Reduction of severe menstrual cramps B Clearing up acne and improving bone density C Prevention of certain cancers D All of the above

Fill in the blank A colon indicates amino acid positions that have amino acids with A molecular properties

Listen Their primary function of DNA topoisomerase is to cleave DNA strands in order to provide torsional stress relief or to untangle replicating DNA a True b False

Which enzyme makes single strand breaks in DNA backbones a Exonuclease b Topoisomerase c Helicase d Ligase

Topoisomerase does which one of the following a Joins the ends of double stranded DNA molecules b Is required for making recombinant DNA molecules in vitro c Unties knots in DNA molecules d Makes new DNA strands

Which of the following are methods for contraception A Intrauterine device IUD B Sterilization C Diaphragm D All of the above

A phylogenetic tree that is rooted is one a with very few branch points b that illustrates the rampant gene swapping that occurred early in life s history c that extends back to the origin of life on Earth d that indicates our uncertainty about the evolutionary relationships of the taxa depicted on the tree e at whose base is located the common ancestor of all taxa depicted on that tree

What is the role of topoisomerases in eukaryotic DNA replication a Topoisomerise enzymes cut uncoil and reseal the double stranded DNA b Topoisomerise enzymes bind to the origin of replication sites within double stranded DNA c Topoisomerise enzymes join the Okazaki fragments together with phosphodietster bonds d Topoisomerise enzymes open up the double stranded DNA at the replication fork

Fill in the blank A period indicates amino acid positions that have amino acids with properties A molecular

Find the volume of the solid formed by rotating the region enclosed by about the y axis y e 5 y 0 x 0 x 0 8

Find the volume of the solid obtained by rotating the region bounded by y x y 0 and x 1 about the axis 2

y varies jointly as x and z and inversely as the square of w and y 12 5 when x 16 z 3 and w 5

A sheriff in the Hudson River Valley near Albany New York about to go into the hills in the fall of 1839 to collect back rents from tenants on the enormous Rensselaer estate was handed a letter the tenants have organized themselves into a body and resolved not to pay any more rent until they can be redressed of their grievances The tenants now assume the right of doing to their landlord as he has for a long time done with them viz as they please You need not think this to be children s play if you come out in your official capacity I would not pledge for your safe return A Tenant When a deputy arrived in the farming area with writs demanding the rent farmers suddenly appeared assembled by the blowing of tin horns They seized his writs and burned them That December a sheriff and a mounted posse of five hundred rode into the farm country but found themselves in the midst of shrieking tin horns eighteen hundred farmers blocking their path six hundred more blocking their rear all mounted armed with pitchforks and clubs The sheriff and his posse turned back the rear guard parting to let them through This was the start of the Anti Renter movement in the Hudson Valley described by Henry Christman in Tin Horns and Calico It was a protest against the patroonship system which went back to the 1600s when the Dutch ruled New York system where as Christman describes it a few families intricately intermarried controlled the destinies of three hundred thousand people and ruled in almost kingly splendor near two million acres of land The tenants paid taxes and rents The largest manor was owned by the Rensselaer family which ruled over about eighty thousand tenants and had accumulated a fortune of 41 million The landowner as one sympathizer of the tenants put it could swill his wine loll on his cushions fill his life with society food and culture and ride his barouche and five saddle horses along the beautiful river valley and up to the backdrop of the mountain By the summer of 1839 the tenants were holding their first mass meeting

is incorrect e function y 6 x 15 2x algebraically wers in increasing order If there is only one zero

Use the graph to state the absolute and focal maximum and minimum values of the function Assume each point lies on the gridlines Enter your answers as a comma separated list If an answer does not exist enter Da 0 1 absolute maximum value absolute minimum value local maximum value s local minimum value s y fix

Explain the difference between an absolute minimum and a local minimum There is no difference OA function has an absolute minimum at x ciftc is the smallest function value when x is near c whereas f has a local minimum at c if c is the smallest function value on the entire domain of f OA function f has an absolute minimum at x cific is the smallest function value on the entire domain of f whereas has a local minimum at c if c is the smallest function value when x is near c OA function f has an absolute minimum at x cif c is the largest function value on the entire domain of f whereas has a local minimum at c if c is the largest function value when is near c OA function has an absolute minimum atx cific is the largest function value when x is near c whereas has a local minimum at c if c is the largest function value on the entire domain of

When comparing the value 13 to 13 which statement is TRUE O 13 13 O 13 13 O 13 13 O 13 13

andard 6 1 Which statement can be represented by 20 dollars O Joe deposited 20 into his savings account O Janet earned 20 mowing her neighbor s yard O Kyle withdrew 20 from his checking account O Sally found 20 on the sidewalk

H 2 and 2 Let T R2 R2 be the linear transformation satisfying T 51 18 and T 52 13 Find the image of an arbitrary vector x T

1 to 2 2 to 5 3 to 1 1 to 1 5 to 1 5 1 52 8 11 5 4 3 2 1 1 2 5 2 2 figure The points of each preimage are represented by circles and the points of each image are represented by squares

Find the critical numbers of the function Enter your answers as a comma separated list If an answer does not exist enter DNE F x x4 5 x 3 2 x

Graph y x vertically stretched by a factor of 4 reflected across the x axis and shifted left 4 When graphing first select the correct shape from the options below the grid

4x Suppose that 8 x Cnx n 0 Find the first few coefficients Co 4 1 C C2 C3 87 88 87 3 C4 87 Find the radius of convergence R of the power series D C

Find the critical numbers of the function Enter your answers as a comma separated list If an answer does not exist enter DNE f x 2x 3x 12x

Find the absolute minimum and absolute maximum values of f on the given interval f t t 9 2 1 3 absolute minimum absolute maximum

Changes in the timbre or tone color in a piece of music

The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths Find the volume of the right rectangular prism in centimeters Figure not to scale 4 3 85 cm 67 cm 45 cm O 12cm S

Rewrite the logarithm as a ratio of common logarithms and natural logarithms log 98 a common logarithms b natural logarithms

A car is driving away from El Paso with constant velocity At 1 p m it is 145 miles away from El Paso At 3 p m it is 275 miles away from El Paso Part A Write a linear function d t that describes the distance d in miles the car is from El Paso in terms of time t in hours after 12 00 p m Answer Part B How long after 12 00 p m in hours will the car be 300 miles away from El Paso Round answer to the nearest hundredth Answer Part C Describe the process for determining how long the car has been driving from El Paso

A company is considering three different plans for car rentals from Ajax Rentals Bargain Rentals and Cheap Rentals Ajax Rentals has the lowest fixed cost and the highest cost per mile while Bargain Rentals has the highest fixed cost and the lowest cost per mile Part A The company has obtained a graph displaying the cost functions for each rental company but the graph is not labeled Determine which lines are associated with which companies 400 150 100 Miles 200 Miles Cheap a solid b dashed Bargain c dotted Ajax Part B Match each company with the interval where it has the lowest price compared to the other two companies Bargain a 125 175 Ajax b 175 200 C 100 125

8 Determine the scale factor of the geometric figure The points of each preimage are represented by circles and the points of each image are represented by squares 1 to 1 Sto 2 2 5 to 0 2 to 1 1 25 201

The velocity of a falling object is 12 4 m s at 2 seconds after being dropped and 22 2 m s at 3 seconds after being dropped Part A Graph the velocity of the falling object as a function of time in seconds Use t 0 to represent when the object was dropped 30 velocity m s 20 10 10 2 time seconds 3 Clear All Draw Part B Estimate when the object was falling with a velocity of 18 m s seconds

Next Find the area of the region enclosed by y 1 25z and z 5 y 2 1 2 3 2 a Use horizontal strips to find the area that is integrate with respect to y First find the y coordinates of the two points where y 1 25z meets z 5 y 4 2129 lower limit c 10 upper limit d 4 2129 10 B and To find the area of the enclosed region from to d we will integrate where g y d g y dy

A window has the shape of a parabola above and a circular arc below Find the area of the window 10 7 10 ft 6 34 Use the dotted line as your y axis and the solid gray line as the x axis Find the distance from the z axis to the top of the circle Write the equation of the circle Write the equation of the parabola feet

Assume that you have agreed to use a cellular plan that charges a price of p 4q 500 dollars for using q GB of data Determine a formula for a that describes the amount of data you can use in terms of the amount of money that you are willing to spend Answer

Given the following voltage and current i t 5 sin 377t 57 A u t 10 cos 377t 41 V Determine the phase relationship between i t and u t Notes on entering solution Enter your solution with respect to V leads i by Enter your solution in degree Do not include units in your answer ex 5 is entered as 5