Question 1

Evaluate the integral by making the indicated substitution.   , u = cos x

Accepted Answer

The answer of Evaluate the integral by making the indicated...

Question 2

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 3

Write the expression in sigma notation. 4•5 + 4•6 + 4•7 + 4•8 + 4•9.

Accepted Answer

The answer of Write the expression in sigma notation. 4•5...

Question 4

Find the displacement of a particle if v(t) = sin t; [0,  $\pi$].

Accepted Answer

The answer of Find the displacement of a particle if...

Question 5

Simplify. ln(xe3x ) =

Accepted Answer

A)  3 
B)  3 + ln x 
C)  3x + ln x 
D)  3 ln x 
E)  3x 
A)  3 
B)  3 + ln x 
C)  3x + ln x 
D)  3 ln x 
E)  3x

Question 6

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 7

Approximate ln 3/2 to 3 decimal places.

Accepted Answer

The answer of Approximate ln 3/2 to 3 decimal places....

Question 8

Given f(x) = x6 + 9 , [4, 7]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Accepted Answer

Question 9

Answer true or false. For   a good choice for u is x2.

Accepted Answer

A) True 
 B)False

Question 10

Find the area of the region between y = x2 - 3x - 70 and the x-axis for 0 $\le$ x $\le$  2.

Accepted Answer

The answer of Find the area of the region between...

Question 11

Answer true or false.

Accepted Answer

A) True 
 B)False

Question 12

Evaluate   if   and   .

Accepted Answer

The answer of Evaluate   if   and...

Question 13

Answer true or false.

Accepted Answer

A) True 
 B)False

Question 14

Find g'(x) if   .

Accepted Answer

The answer of Find g'(x) if   ....

Question 15

Find x* on [0, 7] such that f(x*) equals the average value of f(x) = 2x + 6 over [0, 7].

Accepted Answer

@#IMG-DLM& = @#IMG-DLM& = 13
2

Question 16

Answer true or false.

Accepted Answer

The answer of Answer true or false.  ...

Question 17

For   , what is a good choice for u?

Accepted Answer

The answer of For   , what is a...

Question 18

A particle is moving so that its velocity,   for 2 $\le$  t $\le$  5. Find the total distance travelled by the particle.

Accepted Answer

The answer of A particle is moving so that its...

Question 19

Answer true or false.

Accepted Answer

A) True 
 B)False

Question 20

Find g'(x) if   .

Accepted Answer

The answer of Find g'(x) if   ....

Evaluate the integral by making the indicated substitution. , u = cos x

Evaluate .

Write the expression in sigma notation. 4•5 + 4•6 + 4•7 + 4•8 + 4•9.

Find the displacement of a particle if v(t) = sin t; [0, $\pi$ ].

Simplify. ln(xe³^x ) =

Evaluate .

Approximate ln 3/2 to 3 decimal places.

Given f(x) = x⁶ + 9 , [4, 7]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Answer true or false. For a good choice for u is x².

Find the area of the region between y = x² - 3x - 70 and the x-axis for 0 $\le$ x $\le$ 2.

Answer true or false.

Evaluate if and .

Answer true or false.

Find g'(x) if .

Find x* on [0, 7] such that f(x*) equals the average value of f(x) = 2x + 6 over [0, 7].

Answer true or false.

For , what is a good choice for u?

A particle is moving so that its velocity, $A particle is moving so that its velocity, for 2 \le t \le 5. Find the total distance travelled by the particle.$ for 2 $\le$ t $\le$ 5. Find the total distance travelled by the particle.

Answer true or false.

Find g'(x) if .

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Exam 5: Integration

Evaluate the integral by making the indicated substitution. , u = cos x

Evaluate .

Write the expression in sigma notation. 4•5 + 4•6 + 4•7 + 4•8 + 4•9.

Find the displacement of a particle if v(t) = sin t; [0, π\piπ ].

Simplify. ln(xe3x ) =

Evaluate .

Approximate ln 3/2 to 3 decimal places.

Given f(x) = x6 + 9 , [4, 7]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Answer true or false. For a good choice for u is x2.

Find the area of the region between y = x2 - 3x - 70 and the x-axis for 0 ≤\le≤ x ≤\le≤ 2.

Answer true or false.

Evaluate if and .

Answer true or false.

Find g'(x) if .

Find x* on [0, 7] such that f(x*) equals the average value of f(x) = 2x + 6 over [0, 7].

Answer true or false.

For , what is a good choice for u?

A particle is moving so that its velocity, for 2 ≤\le≤ t ≤\le≤ 5. Find the total distance travelled by the particle.

Answer true or false.

Find g'(x) if .

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Find the displacement of a particle if v(t) = sin t; [0, $\pi$ ].

Simplify. ln(xe³^x ) =

Given f(x) = x⁶ + 9 , [4, 7]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Answer true or false. For a good choice for u is x².

Find the area of the region between y = x² - 3x - 70 and the x-axis for 0 $\le$ x $\le$ 2.

A particle is moving so that its velocity, $A particle is moving so that its velocity, for 2 \le t \le 5. Find the total distance travelled by the particle.$ for 2 $\le$ t $\le$ 5. Find the total distance travelled by the particle.