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Ap Calculus Bc

High School Ap Calculus Bc Questions asked by Filo students

Question 1

(1 point) Estimate

f^{'} (3)

for

f (x) = 4^{x}

. Be sure your answer is accurate to within

0.1

of the actual value.

f^{'} (3) \approx

Be sure that you can explain your reasoning. Preview My Answers Submit Answers You have attempted this problem 8 times. Your overall recorded score is

0%

. You have unlimited attempts remaining.

Topic:

Applications of Derivatives

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Question 2

Select the correct answer. Which statement best expresses the central idea of the passage?

Cholera shows little symptoms until the illness is far advanced.
Cholera is a communicable disease that little is known about.
Cholera is most likely not a communicable disease.
Cholera is most likely spread through the alimentary canal.

Topic:

Differentiation

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Question 3

Using Trigonometric integral using the su

\int \frac{16 - x ^{2}}{x} d x

\int x^{3} x^{2} - 25 d

Topic:

Integration & Its applications

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Question 4

A right triangle has legs of 24 inches and 32 inches whose sides are changing. The short leg is decreasing by 5 in/sec and the long leg is shrinking at

7 in / sec

. What is the rate of change of the hypotenuse?

Topic:

Applications of Derivatives

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Question 5

(11 points) For the function

h (x) = 5 x + \frac{2}{x}

, find all maximum and minimum values (local and absolute) using the first derivative test with an interval sketch (the letters in the sample below are critical values). Solve analytically (not graphically) using the methods from our text. Optionally, feel free to confirm your work with your graphing calculator. Round the

y

values to 3 decimal ploces.

Topic:

Limits and Continuity

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Question 6

elearn.sinclair.edu/d21//ms/dropbox/user/folder_submit_files.d2l?

db = 5849948 grpid = 0

\&isprv=0 New Tab e a Discussion | Ethos,... Level 5 Criteria 5 points Clearly described a new app idea. Discussed what the app can and can't do. Gave reasons why the app is useful using because or since. Used phrases and got his/her classmates' attention. Total Overall Score Level 5 Level 4 Level 3 18 points minimum 16 points minimum Submit

Topic:

Differentiation

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Question 7

Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the upper and lower sums for

f (x) = 2 + sin (x), 0 \leq x \leq π

with

n = 2, 4

, and 8 . Illustrate each case with a sketch similar to the figure shown below. (Round your answers to two decimal places.)

Topic:

Integration & Its applications

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Question 8

Clever/Log in YouTube N Netflix Dashboard DE Outlook I 6.9:Calculating Mol. Eor this assignment, you submit answers by question parts. The number of submissions remaining for each question part only Assignment Scoring Your best submission for each question part is used for your score. 1. [10/10 Points] DETAILS DREVIOUS ANSWERS SCALCET9 5.XP.1.004. Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the upper and lower sums for

f (x) = 2 + sin (x), 0 \leq x \leq π

with

n = 2, 4

, and 8 . Illustrate each case with a sketch similar to the figure shown below. (Round your answers to two decimal pla Evaluate the upper and lower sums with

n = 2

Topic:

Integration & Its applications

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Question 9

https//course.apexleamning.com/public/. Igebra II Sem 1 Zuestion 17 of 31 Point Ise the appropriate identity to rewrite the expressi

$(x^{3})^{3} - (3)^{3}$
$(x)^{3} - (3)^{2}$
$(x)^{3} - (3)^{3}$
$(x^{3})^{2} - 27$

Topic:

Integration & Its applications

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Question 10

Consider f (x) defined below. Find P(1 ≤ X ≤ 2). (Round your answer to three decimal places.)

f (x) = xe^-x if x ≥ 0

f (x) = 0 if x < 0

Topic:

Integration & Its applications

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Question 11

Which of the following equations are separable

A: y^{'} - y^{2} ln (∣ t ∣) = t^{2} y^{2} B: y^{'} = y^{2} + 3 C: y^{'} = e^{7 y} e^{θt /2}

None
Only (A)
Only (B)
Only (C)
Only (A) and (B)
Only (A) and (C)

Topic:

Differentiation

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Question 12

y

satisfies the differential equation

t y^{'} (t) - t sin (\frac{t}{2}) y (t) = 0

and

y (\frac{3}{2}) = 2

, then

y (\frac{1}{2})

0.2
-0.5
1.2
-1.1

Topic:

Differentiation

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Question 13

2. A scale factor of less than one mears That the inage will be a recturtion of the that the image wit be larger than the pre That you need to subtract that amount. That the image will be the same art the off of each side pre-irnate. 3. If the scale factor is greater than one, the new figure will be an enlargement a scale not proportional a reduction 4. Choose the correct scale factor:

1/2

2 3

1/3

Topic:

Graphs of Functions and Derivatives

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Question 14

Preorder of a binary tree with the following: Postorder traversal: 13542 Inorder traversal: 12345

Topic:

Applications of Derivatives

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Question 15

What is the antiderivative of

ln x

Topic:

Integration & Its applications

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Question 16

What is the derivative of

y = arctan (x)?

Topic:

Differentiation

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Question 17

How do you find the derivative of

csc x ?

Topic:

Differentiation

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Question 18

What is the Integration of

d x ?

Topic:

Integration & Its applications

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Question 19

What is the antiderivative of

sec^{2} (x)?

Topic:

Integration & Its applications

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Question 20

How do you integrate

\int \frac{1}{x ^{2}} d x ?

Topic:

Integration & Its applications

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High School Ap Calculus Bc Questions asked by Filo students

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