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Problem #1

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Problem #1

E

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Problem #2

C

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Problem # 3

Use cover-up

method

C

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Problem #4

B

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Problem #5

Use initial conditions:

A

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Problem #6

Using the arc length formula…

A

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Problem #7

1

1

-1

A

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Problem #8

By Pythagorean Theorem

maximize

Area:

max.

C

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Problem # 9

Converges

Converges

Diverges

A

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Problem #10

OR

D

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Problem #11

Integration by parts:

Integration by parts again:

Plug in:

A

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Problem #12

1

1

-1

C

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Problem #13

E

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Problem #14

B

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Problem #15

Area of Semicircle

A

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Problem #16

C

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Problem #17

Split into two integrals:

Flip integral and make it negative

Use 1st Fundamental Theorem of Calculus

Chain Rule

A

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Problem #18

C

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Problem #19

E

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Problem #20

B

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Problem #21

D

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Problem #22

Check Endpoints

A

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Problem #23

It looks like a limit of Riemann sums

E

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Problem #24

E

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Problem #25

D

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Problem #26

D

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Problem #27

Pts. of inflection

Or : by the shape of Sin graph,

it concaves up and down

Pt. of inflection

I and III only

D

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Problem #28

Shown here is the slope field for which differential equation?

Asymptote at y=0 & y=2

Slope is not same for every vertical

Slope is not same for every horizontal

No asymptote at y=3

Asymptote at y=2

A

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Problem #29

B

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Problem #30

C

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Problem #31

Make a chart

E

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Problem #32

Lower Sum

Upper Sum

Trapezoidal

B

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Problem #33

= 6

A

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Problem #34

4

4

5

5

6

6

7

7

8

8

A

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Problem #35

B

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Problem #36

A

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Problem #37

An outdoor thermometer registers a temperature of 100˚F. Twelve minutes after it is brought into a room where the temperature is 80˚F, the thermometer registers 90˚F. When will the thermometer register 85˚F?

B

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Problem #38

Find the slope:

Plug the coordinates of x and y and the slope

into point-slope equation of the line:

A

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Problem #39

r

R

C

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Problem #40

A

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Problem #41

Boy

Girl

Implicitly differentiate

C

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Problem #42

Solve for intersections a and b:

Substitute into formula

B

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Problem #43

+

max

–

B

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Problem #44

C

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Problem #45

Area under the curve:

Area of 8 by 10 rectangle:

Area above the curve:

Probability:

C

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