Practice Skills Test 3 - Fall 2018 - Math 225, section 40, Spring 2021 Web Assign PDF

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3/3/2021

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

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Math 225, section 40, Spring 2021 INSTRUCTOR

Practice Skills Test 3 -- Fall 2018 (Review-Not Graded)

Richard Behr SUNY Binghamton University

Current Score

QUESTION

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

POINTS

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

1/1

–/1

1

–

TOTAL SCORE

17/44

38.6%

Due Date

THU, MAR 4, 2021 4:59 AM GMT+7

Description

Assignment Submission & Scoring Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your best submission for each question part is used for your score.

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1/19

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1.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

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

x2 + 3 4

g'(r) = √r2+3

Solution or Explanation Click to View Solution

2.

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

Use part one of the fundamental theorem of calculus to find the derivative of the function. s

g(s) =

(t − t8 )4 dt 9

g ′(s) = (s−s8)4

Solution or Explanation s

We have f(t) = (t − t 8) 4 and g(s) =

(t − t 8) 4 dt, so by part one of the fundamental theorem of calculus,

9

g ′(s) = f(s) = (s − s8 )4 .

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3.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

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

5 3

t +1

1

g'(x) = 5x3+1

Solution or Explanation Click to View Solution

4.

DETAILS

[1/1 Points]

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

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

g (y ) =

t2 sin(3t) dt 2

g ' (y ) = y2sin(3y)

Solution or Explanation Click to View Solution

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5.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

Use part one of the fundamental theorem of calculus to find the derivative of the function. 0

0

8 + sec(2t)

x

8 + sec(2t)

8 + sec(2t)

x

x

0

f ' (x ) = −√8+sec(2x)

Solution or Explanation 0

f(x) =

x

8 + sec(2t) dt = − x

f ′(x) = −

6.

8 + sec(2t) dt ⇒ 0

x d dx 0

8 + sec(2t) dt = −

[1/1 Points]

DETAILS

8 + sec(2x)

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 2

G (x ) =

cos(

3t ) dt

x

G'(x) = −cos(√3x)

Solution or Explanation Click to View Solution

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Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Evaluate the integral. −1

4

5

y5

−2

−26+124

Solution or Explanation Click to View Solution

8.

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

Evaluate the integral. 9

x dx 4

23(9)(32)−234(32)

Solution or Explanation 9

9

x1 ⁄ 2 dx =

x dx = 4

4

x3/2

9

=

3 2

2 3

x

3/2

9

= 4

2 3

38 2 9 3/2 − 4 3/2 = (27 − 8) = 3 3

4

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Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[1/1 Points]

9.

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Evaluate the integral. 36

10t 0

23·10(12)·36(32)

Solution or Explanation Click to View Solution

10.

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

Evaluate the integral. 1

(3 + 6x

x) dx

0

3+125

Solution or Explanation Click to View Solution

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Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

Evaluate the integral. 1

4/9 0

913

Solution or Explanation Click to View Solution

12.

[1/1 Points]

DETAILS

Evaluate the integral. 3

2 + 2x − 3x2

dx

1

−14

Solution or Explanation Click to View Solution

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Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

Evaluate the integral. 5

2 t3

1

−5−2+1

Solution or Explanation Click to View Solution

14.

[1/1 Points]

DETAILS

Evaluate the integral. 2

(9x 2 − 4x + 8) dx 0

32

Solution or Explanation Click to View Solution

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Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

Evaluate the integral. 4

2 3

34

34 Solution or Explanation Click to View Solution

16.

[1/1 Points]

DETAILS

Evaluate the definite integral.

3

25

x

1

dx

2√3(25(12)−1)

Solution or Explanation 25 1

3 x

25

dx =

x−1 ⁄ 2 dx =

3 1

25

3 2

=

x 1

3 (2 · 5 − 2 · 1) = 8

3

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Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[1/1 Points]

DETAILS

PREVIOUS ANSWERS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Evaluate the integral. 5 4

sin(5π)−sin(4π)

Solution or Explanation Click to View Solution

18.

[–/1 Points]

DETAILS

Evaluate the definite integral.

(4 sin( ) − 5 cos( )) d 0

19.

[–/1 Points]

DETAILS

Evaluate the integral. (7 sin( ) − 5 cos( )) d 0

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20.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Evaluate the definite integral.

/3

21.

DETAILS

[–/1 Points]

Evaluate the integral. 16

3x − 3 x

4

22.

[–/1 Points]

dx

DETAILS

Evaluate the integral. 2

(4v + 8)(3v − 1) dv 0

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23.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Evaluate the integral. 2

v 5 + 4v 7 v4

1

24.

[–/1 Points]

DETAILS

Evaluate the integral. 2

y + 4y 6 y3

1

25.

dy

DETAILS

[–/1 Points]

Evaluate the integral. 4 1

3x − 8 x

dx

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26.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Evaluate the integral. 4 0

27.

[–/1 Points]

DETAILS

Evaluate the definite integral. ⁄ 4 6 + 7 cos2 ( )

cos2 ( )

0

28.

[–/1 Points]

DETAILS

d

Evaluate the integral. /4

5 sec( ) tan( ) d 0

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29.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Evaluate the integral. /4

2 0

30.

[–/1 Points]

DETAILS

Evaluate the integral. /3

8 sec( ) tan( ) d /4

31.

[–/1 Points]

DETAILS

Find the general indefinite integral. (Use C for the constant of integration.) 3v(v2 + 2)2 dv

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32.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Find the general indefinite integral. (Use C for the constant of integration.) 1 3

1

4

7

4

33.

DETAILS

[–/1 Points]

Find the general indefinite integral. (Use C for the constant of integration.) 5y 3 + 1.2y 2 − 3.2y dy

34.

DETAILS

[–/1 Points]

Find the general indefinite integral. (Use C for the constant of integration.) 4x3 − 7

x

dx

x

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35.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Find the general indefinite integral. (Use C for the constant of integration.) 2

36.

[–/1 Points]

−2

DETAILS

Find the general indefinite integral. (Use C for the constant of integration.) 6(1 + tan2 ( )) d

37.

[–/1 Points]

DETAILS

Find the general indefinite integral. (Use C for the constant of integration.)

sec(t)(5 sec(t) + 8 tan(t)) dt

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38.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

MY NOTES

PRACTICE ANOTHER

Find the general indefinite integral. (Use C for the constant of integration.)

39.

[–/1 Points]

DETAILS

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f (x ) = 2

x + 6 cos(x)

F(x ) =

40.

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

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17/19

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41.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f (x ) =

9 x8

F(x ) =

42.

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

43.

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

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44.

Practice Skills Test 3 -- Fall 2018 - Math 225, section 40, Spring 2021 | WebAssign

[–/1 Points]

DETAILS

MY NOTES

PRACTICE ANOTHER

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) g( ) = cos( ) − 4 sin( ) G( ) =

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