Question 1

The acceleration function (in m/  )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.

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Question 2

Use the laws of logarithms to write the expression as the logarithm of a single quantity. 4 ln 5 -  ln (x + 6)

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Question 3

Evaluate the integral.

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...

Question 4

Find a formula for the inverse of the function.

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Question 5

Find an equation of the tangent line to the curve  at (1 , 0)

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Question 6

Assume that is a one-to-one function.
(a)If  ,what is  ?
(b)If  ,what is  ?

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(a)If ...

Question 7

If  ,find  .

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...

Question 8

Differentiate the function.

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Question 9

Use the laws of logarithms to expand the expression. ln

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Question 10

Use the laws of logarithms to expand the expression. ln

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Question 11

Differentiate the

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...

Question 12

Find a formula for the inverse of the function.

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Question 13

The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

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Question 14

Find the exponential function  whose graph is given.

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Question 15

The area of the region that lies to the right of the y-axis and to the left of the parabola  (the shaded region in the figure)is given by the integral .Find the area..

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Question 16

Use logarithmic differentiation to find the derivative of the function.

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Question 17

Evaluate the integral.

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...

Question 18

Differentiate the function.

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...

Question 19

Evaluate the integral.

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...

Question 20

Find

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...

Quiz 5: Integrals

The acceleration function (in m/ ) and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.

Use the laws of logarithms to write the expression as the logarithm of a single quantity. 4 ln 5 - ln (x + 6)

Evaluate the integral.

Find a formula for the inverse of the function.

Find an equation of the tangent line to the curve at (1 , 0)

Assume that is a one-to-one function. (a) If ,what is ? (b) If ,what is ?

If ,find .

Differentiate the function.

Use the laws of logarithms to expand the expression. ln

Use the laws of logarithms to expand the expression. ln

Differentiate the function

Find a formula for the inverse of the function.

The velocity function (in meters per second) is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

Find the exponential function whose graph is given.

The area of the region that lies to the right of the y-axis and to the left of the parabola (the shaded region in the figure) is given by the integral .Find the area..

Use logarithmic differentiation to find the derivative of the function.

Evaluate the integral.

Differentiate the function.

Evaluate the integral.

Find