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Problem #1. E. Mathboat.com. Problem #2. C. Mathboat.com. Problem # 3. Use cover-up method. C. Mathboat.com. Problem #4. B. Mathboat.com. Problem #5. Use initial conditions:. A. Mathboat.com. Problem #6. Using the arc length formula…. A. Mathboat.com. Problem #7. 1. 1. -1.

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Presentation Transcript
slide1

Problem #1

E

Mathboat.com

slide2

Problem #2

C

Mathboat.com

slide3

Problem # 3

Use cover-up

method

C

Mathboat.com

slide4

Problem #4

B

Mathboat.com

slide5

Problem #5

Use initial conditions:

A

Mathboat.com

slide6

Problem #6

Using the arc length formula…

A

Mathboat.com

slide7

Problem #7

1

1

-1

A

Mathboat.com

slide8

Problem #8

By Pythagorean Theorem

maximize

Area:

max.

C

Mathboat.com

slide9

Problem # 9

Converges

Converges

Diverges

A

Mathboat.com

slide10

Problem #10

OR

D

Mathboat.com

slide11

Problem #11

Integration by parts:

Integration by parts again:

Plug in:

A

Mathboat.com

slide12

Problem #12

1

1

-1

C

Mathboat.com

slide13

Problem #13

E

Mathboat.com

slide14

Problem #14

B

Mathboat.com

slide15

Problem #15

Area of Semicircle

A

Mathboat.com

slide16

Problem #16

C

Mathboat.com

slide17

Problem #17

Split into two integrals:

Flip integral and make it negative

Use 1st Fundamental Theorem of Calculus

Chain Rule

A

Mathboat.com

slide18

Problem #18

C

Mathboat.com

slide19

Problem #19

E

Mathboat.com

slide20

Problem #20

B

Mathboat.com

slide21

Problem #21

D

Mathboat.com

slide22

Problem #22

Check Endpoints

A

Mathboat.com

slide23

Problem #23

It looks like a limit of Riemann sums

E

Mathboat.com

slide24

Problem #24

E

Mathboat.com

slide25

Problem #25

D

Mathboat.com

slide26

Problem #26

D

Mathboat.com

slide27

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

Mathboat.com

slide28

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

Mathboat.com

slide29

Problem #29

B

Mathboat.com

slide30

Problem #30

C

Mathboat.com

slide31

Problem #31

Make a chart

E

Mathboat.com

slide32

Problem #32

Lower Sum

Upper Sum

Trapezoidal

B

Mathboat.com

slide33

Problem #33

= 6

A

Mathboat.com

slide34

Problem #34

4

4

5

5

6

6

7

7

8

8

A

Mathboat.com

slide35

Problem #35

B

Mathboat.com

slide36

Problem #36

A

Mathboat.com

slide37

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

Mathboat.com

slide38

Problem #38

Find the slope:

Plug the coordinates of x and y and the slope

into point-slope equation of the line:

A

Mathboat.com

slide39

Problem #39

r

R

C

Mathboat.com

slide40

Problem #40

A

Mathboat.com

slide41

Problem #41

Boy

Girl

Implicitly differentiate

C

Mathboat.com

slide42

Problem #42

Solve for intersections a and b:

Substitute into formula

B

Mathboat.com

slide43

Problem #43

+

max

B

Mathboat.com

slide44

Problem #44

C

Mathboat.com

slide45

Problem #45

Area under the curve:

Area of 8 by 10 rectangle:

Area above the curve:

Probability:

C

Mathboat.com

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