Deck 4: Applications of Differentiation

Question 1

Answer 1

-285

Question 2

Answer 2

Question 3

Answer 3

43.2

Question 4

Express the integral as a limit of sums.Then evaluate the limit.

Question 5

Question 6

Find the derivative of the function.

Question 7

Find the derivative of the function.

Question 8

Evaluate the integral.

Question 9

Find the limit.

Question 10

Question 11

Question 12

The speed of a runner increased steadily during the first three seconds of a race.Her speed at
half-second intervals is given in the table.Find a lower estimate for the distance that she traveled
during these three seconds.

Question 13

Find the derivative of the function.

Question 14

Question 15

Evaluate the integral by making the given substitution.

Question 16

Find the derivative of the function.

Question 17

Express the limit as a definite integral on the given interval.

Question 18

Find the derivative of the function.

Question 19

Evaluate the indefinite integral.

Question 20

Question 21

Question 22

Question 23

Question 24

Evaluate the integral.

Question 25

Question 26

Evaluate the indefinite integral.

Question 27

Find the general indefinite integral.

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Find the indefinite integral.

Question 34

Question 35

Evaluate the integral.

Question 36

The acceleration function of a body moving along a coordinate line is

Question 37

Question 38

Evaluate the integral.

Question 39

Find the indefinite integral.

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Question 49

Question 50

Evaluate the integral.

Question 51

Question 52

Evaluate the integral if it exists.

Question 53

Question 54

Question 55

Question 56

The marginal cost of manufacturing x yards of a certain fabric is

Question 57

Question 58

Find the area of the region that lies beneath the given curve.

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Find the integral using the indicated substitution.

Question 65

Find the indefinite integral.

Question 66

Question 67

Question 68

Question 69

Find the integral using an appropriate trigonometric substitution.

Question 70

Question 71

Evaluate the integral.

Question 72

Find the indefinite integral.

Question 73

Find the indefinite integral.

Question 74

Evaluate the integral if it exists.

Question 75

Question 76

Find the integral using an appropriate trigonometric substitution.

Question 77

Find the integral using an appropriate trigonometric substitution.