Questions

The area of the region between the graph of y 2x 6 and the x axis

0 5 y 0 5 0 70 0 5 0 34 0 94 An angle is shown State another angle that has the same cos value but a different sin value 0 5 X Check

TT VE 0 5 y 0 5 0 866 The angle 60 is shown in the unit circle Draw in another angle that has the same sin value 0 5 0 60 0 5 0 5 X

Belle figured out the scores at the end of a card game Scores in a card game x x x x x X8 x x x 4 5 6 7 8 9 10 Score How many people scored more than 6 people

DUE MONDAY APRIL 15th YOU 2004 AP CALCULUS AB FREE RESPONSE QUESTIONS y g x 2 Let f and g be the functions given by f x 2x 1 x and g x 3 x 1 x for 0 x 1 The graphs of and g are shown in the figure above a Find the area of the shaded region enclosed by the graphs of f and g y f x g x 0 1 Let f and g be the functions given by f x 1 sin 2x and g x e 2 Let R be the shaded region in the

y 0 5 Give an example of an angle b with a negative cos value and a sin value that is between 0 5 and 0 9 You can use trial and error here type an angle and see its coordinates 0 5 0 0 5 0 5 X Check

Some students in a biology class compared how many times they went to the park last week to work on their plant research projects Trips to the park last week 012 3 4 5 Number of trips How many students went to the park fewer than 4 times students

0 5 y 0 5 0 95 0 312 1 Move the blue point to a place on the unit circle so that sin 0 0 8 2 State the value of cos 0 based on where you placed the point 0 0 5 0 5 X Submit

0 5 0 866 y 0 5 0 866 The angle shown in red has the same sin value as sin 60 What is the size of the red angle 0 5 0 5 0 60 0 5 0 5 X Submit

0 5 y 0 34 0 94 0 5 0 70 0 5 0 5 X The angle 70 is shown on the unit circle together with its coordinates State another angle that has the same sin value but a different cos value Check

A Solve for the missing angle to 400 50 5 degrees 12 7 degrees 36 9 degrees 72 2 degrees 300

Susan is flying a kite which gets caught in the top of a tree Use the diagram to estimate the height of the tree 63 6 ft 1 59 ft 74 2 ft 86 9 ft string 44 90 feet

sin 8 and cos 6 both positive Match in groups of three When it s correct the title will change 330 230 sin 0 and cos 0 both negative sin 0 is positive and cos 8 is negative cos 8 is positive and sin 8 is negative 40 135 D

y 0 5 The angle 310 is shown on the unit circle Which two of the statements below are true Select two statements cos 310 is negative sin 310 is negative 0 5 310 sin 310 is positive 0 5 X cos 310 is positive 0 5 0 643 0 766

y Give an example of an angle a which has a cos value between 0 1 and 0 5 You can use trial and error here type an angle and see its coordinates 0 5 0 5 0 0 5 X 0 5 Check

0 5 For each of the four quadrants give an example of an angle that is in that quadrant Quadrant 1 2 0 5 0 0 5 3 0 5 Check Example Angle

What is the volume of the pyramid below 112 116 4

3x 2y z 5 2x 5y z 2 Given the system what would be the resulting equation if you combined these equations to eliminate the variable z Type a response

On a given day the number of people in thousands that have entered a museum is modeled by the function h given by h t 4 217 tan 0 7t 0 026 where t is measured in hours and 0 t 8 Based on the model at what time t did person number 4000 enter the museum ROUND your answer to 3 Decimal Places 4000 people in this scenario is represented by the number 4 since the model is in thousands Type your answer

y Find the value of the variable 450 450 y 60

Exercise 6 6pt Detrmine derivatives of the following functions a f x x e b f x ln 5x 2 COS I c f z d f x sin f x 9 x I

Exercise 5 13pt Find the maximal domain and all the asymptotes of the following function 2x 7 a f z 3 b f x 1612 9

5 Rewrite each expression as a single logarithm a 5 log x log 2y 3 4log 3z 2 b 4lnx ln x 3 3 log x 1 c logx log 4x 3 2 log 5x 1

Use the definition of the logarithmic function to find x A log5x 0 B logx 25 2 C log3 x 2 D logx 8

Evaluate the logarithmic expression by using the properties of logarithm 1 A log5 54 B logs 125 C log55 1 D logs 125 E logs 5 F 5logs 4

Find the area of the region between the graphs of y 12 2 and y 7x 4 ove the interval 6 x 5 The area is

A University works with community groups to organize volunteer opportunities for students A researcher suspects that some faculties are overrepresented with regards to the number of volunteers they yield The researcher would like to determine whether she has statistical evidence that warrants rejecting the null hypothesis that the faculties at her university yield equal numbers of volunteers Using the observed values in the table below by hand i determine the expected frequencies and calculate x and ii calculate the degrees of freedom Show all your work Health Sciences Education Humanities Math Science Social Science

Express using a negative exponent Z Type exponential notation with negative exponents Z 9

The area of the region between the graph of y 2 7x 30 and the x axis is

Simplify mh er 3 m h x3 15 xf5 9 3 mh Simplify your answer Use positive exponents only

now bout Exponents Simplify lestion 20 4n5 4n5 6 Simplify your answer Use positive exponents only

Type your answer using exponential notation Use positive exponents only N Divide and simplify 28 28 24

Multiply and simplify 7v 7v 7v 7v Type exponential notation with positive exponents

Compute by hand the i Pearson correlation and corresponding ii degrees of freedom for the data below Show all your work please X Y 2 3 3 4 4 5 2

Simplify Assume a b 0 ab 4 Choose the simplified form of ab 4 OA 1 a4b 4 OC ab 4

Simplify w 5 8 1 w 5 8 Simplify your answer Type exponential notation using positive exponents

The average discharge at the mouth of the Amazon River is 4 700 000 cubic feet per second How much water is discharged from the Amazon River in one hour in one year ft3 of water is discharged in one hour Round to the nearest thousandth as needed Use scientific notation Use the multiplication symbol in the math palette as needed ft3 of water is discharged in one year assuming it is not a leap year Round to the nearest thousandth as needed Use scientific notation Use the multiplication symbol in the math palette as needed

Multiply Write the result using scientific notation 5 9x107 6 9 103 5 9 107 6 9 103 Simplify your answer Use scientific notation Use the multiplication symbol in the math palette as needed

Express using a positive exponent h 2 h 2 Simplify your answer Type a positive exponent

Divide and write the result using scientific notation 4 5 103 1 8 105 4 5 103 1 8 10 5 Simplify your answer Use scientific notation Use the multiplication symbol in the math palette as needed

A Developmental Psychologist would like to determine whether there is a relationship between verbal skills and math skills in secondary school students A sample of 200 students is obtained and each student is given a standardized English test and a standardized math test Based on the test results students are classified as high or low performers for verbal skills and for math skills The sample data observed frequency counts are summarized in the table below 2 By hand i determine the expected frequencies and calculate x and ii calculate the degrees of freedom Show all your work please Verbal Skills High Low High Math 59 41

Find the average value of the function f x x 5 from x 0 to x 3 Set up the integral that is used to find the average value Write all constant factors associated with the endpoints outside of the integra dx 0

Solve for x 23 63 50 7 50 1 60 7 X

Find the radius of convergence of the power series If needed enter INF for oo 20x

1 Determine the average value of f x over the interval from x a to x b where f x a and b 11 11 The average value is Type an exact answer

Determine the phase angle by which v1 t leads i2 t where v1 t 4 sin 377t 21 V i2 t 0 1 sin 377t 79 A Notes on entering solution Enter your solution with respect to V leads i by Enter your solution in degrees Do not include units in your answer Make sure your final answer is between 180deg and 180deg ex 5 is entered as 5

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

5 54 4 3 2 What is the domain of the function on the graph O all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to 2 all real numbers greater than or equal to 3 5 4 3 1 2 3 4 5 x 23 3 4 5

d the value of each variable nesn srl 300 11 X

Given the following voltage and current i t 5 sin 377t 48 A u t 10 cos 377t 52 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