Questions

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

The shaded region between the graphs of y 2x 20 and y 3x 15 is displayed 25 F 6 141 below in orange The shaded region lies between 2 5 40 and 3 5 A typical rectangle is shown in the diagram located at position x What is the height of this rectangle in terms of Now find the total area of the orange shaded region

Find the area of the region enclosed by y 1 25x and x 5 72 2 1 2 3 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 2 5 y lower limit c upper limit d and To find the area of the enclosed region from to d we will integrate C where g y d g y dy

Consider the function In 1 72 00 Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms For example if the series were 3 you would write 1 322 32z 33 3z Also indicate the radius of convergence Partial Sum Radius of Convergence 7

1 Find c 0 such that the area of the region enclosed by the parabolas y x c and y c x is 90

4 A reporter from the Sacramento Bee claims that more than 14 of California workers say it is likely they will quit working this year In a simple random sample of 250 California workers 18 said it is likely they will quit working this year At the significance level of 5 is there enough statistical evidence to support the report s claim Simple Random Sample Requirements 1 2 3 P 14 P214 Step 1 State the hypothesis Ho P 14 P 14 Tall Ha n 250 Step 2 Draw your distribution and find critical number s Step 3 Compute the test statistics Step 4 Make a Decision Step 5 Summarize the result Restate the level of significance and discuss the claim

Find the first five non zero terms of power series representation centered at x 0 for the function below f x ln 6 x Answer f x In 3 1 2 18 What is the radius of convergence Answer R 3 81 4 x 324 1215

A factory selling cell phones has a marginal cost function C x 0 01x 3x 229 where represents the number of cell phones and a marginal revenue function given by R x 429 2x Find the area between the graphs of these curves and x 0 What does this area represent total profit for 200 cell phones sold total profit for more than 200 cell phones sold total revenue for 200 cell phones sold for 200 cell phones cold

There is a line through the origin that divides the region bounded by the parabola y 8x 3x and the x axis into two regions with equal area What is the slope of that line

Sketch the region enclosed by y 5x y 7x and x 1 Find the area of the e region

Set up the definite integral required to find the area of the region between the graph 15 and y 3x 13 of y x da

Find c 0 such that the area of the region enclosed by the parabolas y x 2 and y c x is 460

Determine which graph corresponds to the area enclosed by the curves y 4x and y x 3 6 8 65 5 4 3 2 1 23 5 4 3 2 1 1 2 3 4 2 Find the area of the region between y 4x and y x 3

Sketch the region enclosed by the given curves Decide whether to integrate with respect to x or y Then find the area of the region 2y 3 y 3 and 2y 3x 6

4 A reporter from the Sacramento Bee claims that more than 14 of California workers say it is likely they will quit working this year In a simple random sample of 250 California workers 18 said it is likely they will quit working this year At the significance level of 5 is there enough statistical evidence to support the report s claim Requirements 1 2 Simple Random Sample Binomial 3 np 250 Step 1 State the hypothesis Ho Ha Tail Step 2 Draw your distribution and find critical number s Step 3 Compute the test statistics Step 4 Make a Decision Step 5 Summarize the result Restate the level of significance and discuss the claim

c Write down the minimum height of point P 1 Later the cat is tired and it takes twice as long for point P to complete one revolution at a new constant rate d Write down the new value of b

74 90 1 01 M n 0

A rectangular soccer field has dimensions 70 yards by 110 yards as shown in the figure A sprinkler placed at point P rotates 15 and sprays across the entire field as shown in the figure What percent of the soccer field is watered by thi one sprinkler Round to the nearest hundredth P 95 yd 15 110 yards 70 yards

8 Wayne wants to plant a triangular garden in his backyard and he will enclose the garden with 204 feet of fencing a Give two possible sets of side lengths for the garden one making an acute triangle and one making an obtuse triangle b Find the semiperimeter of each garden c Find the area of each garden d Wayne decides that he will have one side length of the garden be 50 feet If another side length is x write an expression for the 3rd side length e Write an equation in terms of x for the area of the garden f Use technology to find the lengths of the sides of the garden that give the maximum area and state the maximum area

If you reflected the point 3 4 across the x axis what would be the coordinates of the new point The new coordinates would be Select Select Select 3 4 3

Two planes leave the Atlanta airport at the same time and fly for three hours Flight 1504 flies 34 West of North at 245 miles per hour and Flight 168 flies 70 East of North at 271 miles per hour After 3 hours how far apart are the planes Round to the nearest hundredth 34 N 70

A statistics lab required students to draw cards numbered between 1 and 6 and track the results Drawing a number between 1 and 6 xx 1 2 3 4 5 6 Number drawn How many students drew a number greater than 4 students Submit

2 The figure shows ABRO B 18 9 R 13 a Find the semi perimeter of ABRO b Find the area of ABRO Round to the nearest tenth

While working as a summer camp counselor Jessica monitored how many candy necklaces each child made Making candy necklaces 12 x 01 3 x 234 56 Candy necklaces made How many children are there in all children

If a point in Quadrant IV is reflected across the y axis which quadrant will the new point appear in O Quadrant I O Quadrant II O Quadrant III O Quadrant IV

What is the x coordinate for Point A TYPE THE NUMBER ONLY 6 y 6 4 2 4 2 XA 0 2 4B 6 2 A 4 C 6

4 AVMN has sides of lengths v n and m a Write an expression for the height of the triangle h in terms of the measures of the sides and angles of the triangle b Write an expression for the area of AVMN V m n N

1 In AACD AC 25 inches and DC 18 inches a Find ED to the nearest tenth b Find the area of AACD D

Explain how you would plot the point 1 5 on a coordinate plane

B Find the area of AMPO Round to the nearest hundredth M 14 66 O P 17 5

Which quadrant is the point 2 3 located in Quadrant I O Quadrant II O Quadrant III O Quadrant IV

What is the y coordinate for Point C TYPE THE NUMBER ONLY Ay 6 9 4 2 4 2 0 2 XA 2 AB 6 A 4 C 6

Which quadrant is the point 3 2 located in O Quadrant I O Quadrant II O Quadrant III O Quadrant IV

5m

A point in the figure shaded region A l W 4 17 m 8 m

Tuberculosis TB is one of the 13th leading cause of death worldwide Although a leading cause it is both preventable and treatable According to the World Health Organization WHO TB incidence is falling at about 2 per year In the year 2020 there were approximately 10 million incidences of TB globally Q2 1 Part a 15 points Use of TB globally where I is in millions of people and t is in terms of years since 2020 Show all work Define variables Put a box around the final answer Upload a PDF file in the correct orientation for credit Q2 2 Part b 15 points Graph this function in an appropriate window from the year 2020 to 2070 Include axes and scale Label your axes Include units Upload a PDF file in the correct orientation for credit

ethane DDT pesticide in Lake Michigan has been declining exponentially for many years In 1971 the DDT concentration was 13 00 ppm parts per million In 1984 the DDT concentration was 2 22 ppm Q1 1 Part a 20 Points Use the data points provided in question 1 to determine the exponential decay function D f t Ce that models the DDT concentration in Lake Michigan in ppm as a function of t years since 1971 Define all variables Include units Round r to four decimal places Show all work Put a box around your answer Upload a PDF of your work in the correct orientation