Calculus Questions

40 Find m B A 29 km 128 12 km C B

45 y 60 X 7 3 2

48 y 0 X 30 8 3

4 2 1 t 1 dt

25 cos 1

24 sin 1

27 tan 3

31 tan 3 3

27 tan 3

32 sin 2 2

29 cos 1

Find the exact value of each expression 19 cos 1 21 sin 2 nia 8 20 cos 0 38 Flod m 22 sin 0

2 cos 0 300 riangle 1 uni X

Find the x and y coordinates of this function s relative extrema f x 2 X 4 skip Relative Minimum at 2 0 Relative Maximum at 6

D 41 Find m B B 18 ft A 34 11 ft C Syab Xcos DE 42 Find m A A 28 km 34 C B 25 km

Find the missing side lengths Leave 43 45 60 3 3 2 X X 7 3 60 swens 100 bano

1 47 cos COS

46 sin 2

9 y 6 30

09 10 3 3

y 30 X

43 sin 0

5 3 60 X

31 X 60 3 2 y

5 X 30 2

39 cos 0

30 y 60 10 X

44 tan 0

45 cos 1

41 cos 3 To 2

39 cos 0

37 cos 1 2

37 cos 2

37 cos 2

35 sin 3 2

33 V 45 u 5 2 2

Find the area of the shaded region r 4 3 sin 0 5 y S 5 X

Describe the features of the function f x 2log 1 The function has a 12 11 10 9 8 7 6 5 4 3 2 11 side is as 20005 and it is 11 6 6 6 i c b p E 2 3 4 5 6 7 8 9 10 11 12 asymptote of on its domain of The range of the function is The end behavior on the RIGH and the end behavior on the LEFT side is as

For the definite integral do the following 1 1 a Evaluate it using the table of integrals on the inside back cover Leave answers in exact form dx b Use a graphing calculator to verify your answer to part a Round your answer to three decimal plac 091

Find the integral by using the integral table on the inside back cover Remember to use absolute values where appropriate Use C for the constant of integration 1 Z 25 2 dz

Find the integral by using the integral table on the inside back cover Remember to use absolute values where appropriate Use C for the constant of integration x 36 dx

Find the integral by using the integral table on the inside back cover Hint Use formula 15 with a 4 Use C for the constant of integration Remember to use absolute values where appropriate 1 x 16 dx

Find the integral by using the integral table on the inside back cover Use C for the constant of integration Remember to us absolute values where appropriate x 1 x 9 dx

The population of a city is expected to grow at the rate of x x 4 thousand people per year after x years Find the total change in population from year 0 to year 21 thousand people

Find the area between y 9 and y x 1 with a 0 F TH

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function 1 du Hint 7 52 g x g x u du u du f 52 7x f u du f

Speedometer readings for a motorcycle at 12 second intervals are given in the table t s 0 12 24 36 48 60 v ft s 32 27 24 22 24 27 a Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals b Give another estimate using the velocities at the end of the time periods c Are your estimates in parts a and b upper and lower estimates Explain b is a lower estimate and a is an upper estimate since v is a decreasing function of t a is a lower estimate and b is an upper estimate since v is an increasing function of t a and b are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t

Suppose h is a function such that h 3 3 h 3 3 h 3 4 h 5 7 h 5 6 h 5 12 and his continuous 5 everywhere Evaluate h u du

Let g x y t at where is the function whose graph is shown 16 f 24 t q a Evaluate g x for x 0 4 8 12 16 20 and 24 g 0 g 4 g 8 g 12 9 16 g 20 g 24 b Estimate g 28 Use the midpoint to get the most precise estimate g 28

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function y y COS 2 S 10 1 25 0 dv