Functions Questions and Answers

3 tant donn les deux droites gauches x 3 1 D y 2 21 o 1ER z 1 5t D x y z 2 1 2 k 3 4 2 o KER

What is the exact value of c A A 7 B 7 2 C 7 3 A B 450 C 7 450 B

Find the area of the figure pictur 7 yd 4 yd 2

Find the perimeter of this hexagon 91 91 91 91 91

ind the exact value of cos in simplest form with a rational denominator

n 2 4 Pts Parameterize a circle centered at the point P 3 2 with radius r 4 starting 9 00 position travelling clockwise and taking 7 units of time to complete one full circuit Be sure to draw a well annotated figure of the circle embodying all items of the specification need t X 304 Cos Y 332 0 s sin when t t 0 t 7 278

Political opinions are formed with zero influence from outside sources True or False True False

ATH1507 M N My courses SC MATH1507 M N C If f x is continuous

A 3 21C charge moves at 4 52m s with a v field B as shown in the diagram with x magnetic force vector acting on the charge 57 8 N into the page 61 8 N out of the page 10 7 N into the page 10 7 N out of the page

tentify each of the following as either a relation R or a function F 10 8 6 42 2 10 8 6 2 4 6 8 2 A 6 8 10 Af SV

The altitude of a triangle is increasing at a rate of 2 centimeters minute while the area of the triangle is increasing at a rate of 2 5 square centimeters minute At what rate is the base of the triangle changing when the altitude is 7 5 centimeters and the area is 99 square centimeters

A street light is at the top of a 16 ft tall pole A woman 5 ft tall walks toward the pole with a speed of 7 ft sec along a straight path How fast is the shadow lengthening when she is 30 ft from the base of the pole Round answers to 3 decimal places ft sec How fast is the tip of her shadow moving when she is 30 ft from the base of the pole Round answers to 3 decimal places ft sec

1 point An unknown radioactive element decays into non radioactive substances In 740 days the radioactivity of a sample decreases by 50 per a What is the half life of the element alf life days b How long will it take for a sample of 100 mg to decay to 68 mg me needed days

The rabbit population on Mr Jenkins farm follows the formula P t 3 500 1 7 For this formula 0 is the time in months since the beginning of the year What is the eventual population of rabbits O a 4 500 rabbits Ob 4 250 rabbits OC 4 000 rabbits O d 3 500 rabbits Oe 3 000 rabbits

2 Given the following number as an approximate measurement 5 210 pounds What is the range of values for the actual value OA 5 205 to 5 215 B 5 209 to 5 211 OC 5 2095 to 5 2105 D 5 2099 to 5 2101

Supply Basic concepts mplete the following table by selecting the term that matches each definition Definition A table showing the relationship between the price of a good and the amount of t that sellers are willing and able to supply at various prices A graphical object showing the relationship between the price of a good and the amount that sellers are willing and able to supply at various prices The claim that other things being equal the quantity supplied of a good increases when the price of that good rises The amount of a good that sellers are willing and able to supply at a given price

How long will it take 20 machines to complete a task given that it takes 10 days for 8 machines to complete the same task days e

do you think Chivington s campaign against the Cheyenne and Arapaho Indians was unavoidable Why or Why not Explain What is one aspect of Col Chivington s campaign

N 6 54 3 2 1 2 1 4 3 2 1 N hoff an 5 4 3 2 1 1 3 fo tin dio to too tor 19 123 Domain Range Domain Range

3 Function Notation If g x 3x 4 and h x x 1 evaluate marks 2 2 2 3 g 7 h 2 g a h x 4

Let 30 A 28 8 2 B 1 5 Compute the indicated matrix If this is not possible enter DNE in any single blank AB 00 00 3 5 3 4 2 3

The general equation of the plane that contains the points 1 0 8 1 1 8 and the origin is of the form ax by cz 0 Solve for a b and c Enter the equation of the plane in terms of x y and z

Three cable channels 95 97 and 103 air quiz shows comedies and dramas The numbers of shows aired are shown here Type of show Quiz show Comedy Drama Part 0 3 Channel 95 Part 1 of 3 7 3 7 Channel 97 5 3 8 Channel 103 1 If a show is selected at random find these probabilities expressed as reduced fractions a The show is a quiz show or it is shown on Channel 97 2 4 00

ind the area under the standard normal distribution curve between 0 and 2 Refer to the table of values Area Under the Standard Normal Distribution as needed The area between z 0 and 2 is X S

Apply the symmetry property of the fourier transform to find F 1 a 3 1 w 1 iw 2 iw

Two cities have nearly the same north south line of 95 W The latitude of the first city is 29 N and the latitude of th second city is 34 N Approximate the distance between the cities if the average radius of Earth is 6400 km The cities are approximately kilometers apart Round to the nearest integer as needed

Average sales for an online textbook distributor were 65 33 per customer per purchase Assume the sales are normally distributed If the standard deviation of the amount spent on textbooks is 8 93 find the percentage of customers of the online textbook distributor that spent a more than 92 12 per purchase b less than 83 19 per purchase Round your answer to the nearest tenth of a percent Refer to the table of values Area Under the Standard Normal Distribution as needed

The average amount of snow per season in Trafford is 44 inches The standard deviation is 3 inches Find the probability that next year Trafford will receive the given amount of snowfall Assume the random variable is normally distributed Refer to the table of values Area Under the Standard Normal Distribution as needed Part 0 2 Part 1 of 2 a At most 47 inches of snow The probability that Trafford will receive at most 47 inches of snow is X 5

nventory Control and Planning Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb The estimated demand for the cookies is 1 000 000 1 lb ontainers The setup cost for each production run is 504 and the manufacturing cost is 0 6 for each container of cookies The cost of storing each container of cookies over the year is 0 41 ssuming uniformity of demand throughout the year and instantaneous production how many containers of cookies should Neilsen produce per production run in order to minimize the production ost Hint Following the method of Example 5 show that the total production cost is given by the function below Then minimize the function C on the interval 0 1 000 000 Round your answer to he nearest whole number C x 504 000 000 X containers of cookies per production run 0 205x 600 000

Find a function of the form y A sin ka Cor y Acos kx C whose graph matches the function shown below 17 16 15 14 13 12 11 10 0 Leave your answer in exact form if necessary type pi for 14 to

10 Consider the curve defined below Show the binormal vector is the zero vector when t 2 r t e i ej t k 3

Find a possible formula for the linear function y g x given that The value of the expression g 100 is 100 and ii The solution to the equation g x 70 is 50 y g x

What is the slope of the line below y 0 325 wir 3 5 6 3 1

Orlando bought a new couch for 1 968 using the furniture store s finance plan He will pay 164 a month for 12 monu equation can Orlando use to find out how much money he still owes after each month of the plan y 164x y 1 968 164x y 1968 164x Oy 164x 1 968

how that the following pairs of statements are equivale c P Q R and Q v R P d P OR and PA R O

11 1 Points DETAILS Find the radius r of the circle in the figure with arc length s Need Help Read It Watch It 2 rad r S 10

Use Euler s method to obtain a four decimal approximation of the indicated value Carry out the recursion of the equation Yn 1 Yn hf xn Yn by hand first using h 0 1 and then using h y 0 2 y 0 2 y x y y 0 0 y 0 2 h 0 1 h 0 05 0 05

A spinner has an equal chance of landing on each of its eight numbered regions After spinning it lands in region three or six What type of scenario is this Mutually Exclusive Not Mutually Exclusive

olve the given initial value problem by finding as in Example 4 of Section 2 4 an appropriate integrating factor x y 7 dx y xy dy y 0 1

magazine contains TIME fourteen pages You open to a random page Find the probability that the page number is three or seven

Verify that the given differential equation is not exact xy sin x 2y cos x dx 2x cos x dy 0 If the given DE is written in the form M x y dx N x y dy 0 one has My Nx equal the equation is not exact Since My and Ny are not Multiply the given differential equation by the integrating factor x y xy and verify that the new equation is exac If the new DE is written in the form M x y dx N x y dy 0 one has My Nx Since My and N are 0 equal the equation is exact

1507 M N O P Q R S es SC MATH1507 M N O P Q R S Mathematics valuate the following integral

M N O P Q F MATH1507 M N O P Q R S Mathe continuous and 3a f x dx 45 6

Determine fog x AND gof x for each pair of functions SHOW ALL WORK 1 x 4 2 f x g x 6x 2 fog x gof x

Find the local maximum and minimum values and saddle point s of the function If you have three dimensional graphing software graph the function with a domain and viewpoint that reveal all the important aspects of the function Enter your answers as a comma separated list If an answer does not exist enter DNE f x y x y 12x 8y local maximum value s local minimum value s saddle point s x y Select Select Select

The boxplots below compare the math test scores between a morning and an afternoon class There are 40 students in each class Afternoon F 50 75 55 60 65 70 75 80 85 7 What percentage of students passed the test in the afternoon class 10 H 90 95 100 Math test score How many students scored at least an 87 5 on the test in the morning class Morning 6 points 5 points

S Macmillan Leaming The progress of a person on a long hike is shown in the graph Distance traveled miles 5 I 0 B Time hours D

A bag contains 1 gold marbles 10 silver marbles and 30 black marbles Someone offers to play this game You randomly select one marble from the bag If it is gold you win 3 If it is silver you win 2 If it is black you lose 1 What is your expected value if you play this game

7 93 8 This problem is a checkpoint for solving and graphing inequalities It will be referred to as For parts a through c solve each inequality and graph its solutions For parts d and e solution region Homework Help a a x 1 3 c y 3 y 2x 3 e y x 1 4 2 1 4 2 5 12 8 7 S Y 5 4 3 1 22 4 b 1 2 3 4 S 6 b 2 9 0 d y x 4 y x 2x 3 2 Y 1 2 4 S 11 3 36 70

3 f x 2sin 4x 6 Find f x domain 4 f x 4 tan x 1 Find f x domain Find f x range Find f x range Find f x domain and range Find f x domain and range