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American National Curriculum

Ap Calculus Ab

High School Ap Calculus Ab Questions asked by Filo students

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Multiple Choice If

f (0) = f^{'} (0) = f^{''} (0) = 0

, which of the following must be true?

There is a local minimum of $f$ at the origin.
There is no local extremum of $f$ at the origin.
There is a point of inflection of the graph of $f$ at the origin.
There is a horizontal tangent to the graph of $f$ at the origin.

Topic:

Derivatives

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Views: 5,841

Multiple Choice If

f (0) = f^{'} (0) = f^{''} (0) = 0

, which of the following must be true?

There is a local minimum of $f$ at the origin.
There is no local extremum of $f$ at the origin.
There is a point of inflection of the graph of $f$ at the origin.
There is a horizontal tangent to the graph of $f$ at the origin.

Topic:

Derivatives

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Views: 5,035

2 Test (CST): Credit and Debt Iestion 8 of 20 nich source of credit is most likely to result in the greatest loss if fault on payments?

Title lender
Credit card company
Payday lender
Bank or credit union

Topic:

Limits and Continuity

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Views: 5,746

- Part 1: Evaluate the limit Evaluate the following limit by simplifying the expression (first answer box) and then evaluating the limit (second answer box).

lim_{x \to 4} \frac{x ^{2} + 5 x - 36}{x - 4} = lim_{x \to 4}

Note: in your written solution, you thould write the limit statement

lim_{x \to 4}

in every step except the last one, where the imit is finally evaluated. Part 2: Follow-up question

Topic:

Limits and Continuity

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Views: 5,748

20) A particle moves along a horizontal line 30 that its velocity at time

t, t \geq 0

\lor CE) = ln (2 t^{2} - 6 t - 5)

. Find the average spee of Gre paricie over He inerval

(0, 3]

Topic:

Definite Integrals

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Views: 5,563

20) A particle moves along a horizontal line sothat its velacity at time

t, t \geq 0

is given by of Gre paricie over the intervar

(0, 3]

\frac{1}{3} \int_{0}^{1} ln (2 t^{2} - 6 t + 5) a t - \frac{1}{3} \int_{1}^{2} ln (2 t^{2} - 6 t + 5)

a - \frac{1}{3}

t

\frac{1}{3} \int_{2}^{3} ln (2 t^{2} - 6 t + 5) d t ln (1) = 0

Topic:

Definite Integrals

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Views: 5,323

The temperature,

T

F

, of a cup of hot coffee placed on the kifchen counter is given by the function

T = f (t)

t

is measured in minutes since the coffee was placed on the counter. (a) Is

f^{'} (t)

positive or negative? (b) What are the units of

f^{'} (t)

? (c) Suppose that

f^{'} (35) = - 1.5

f (35) = 154

. Which of the following statements about the temperature of the coffee is correct? Circle one.

After 35 minutes the coffee is $15 4^{\circ} F$ and the expected decrease in temperature from the 35 th to the 36 th minute is $1. 5^{\circ} F$ .
After 35 minutes the coffee is $15 4^{\circ} F$ and will continue to decrease at a rate of $1.5 F F$ per minute until the coffee reaches room temperature.
The coffee temperature after 35 minutes is $1.5$ degrees cooler than it was at 34 minutes, and is now $15 4^{\circ} F$ .
The coffee temperature of $15 4^{\circ} F$ after 35 minutes has fallen $1.5$ degrees from its original temperature.

Topic:

Applications of Derivatives

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Views: 5,881

5, 7, 9, 12

and 13 are worth 10 marks each. Q6, 8, 10 and 11 each. 1. Use the equation

y = x^{2} - 6 x + 8

to answer the following questions:

For what values of $x$ is $y = 0$ ?
For what values of $x$ is $y = - 10$ ?
For what values of $x$ is $y \geq 0$ ?
Does $y$ have a minimum value? A maximum value? If so find them.

Topic:

Derivatives

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Views: 5,550

Results for Problems 3.182A Enterprises is considering increas sving the price of its harmonicas, currently

&20

, by 25 Per cent. BADs Current revenue is \ 12.000

am o u t h, an d t h e PE D f or i t s ha r m o ni c a s i ses t ima t e d t o

Topic:

Limits and Continuity

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Question 10

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h (x) = {\frac{3 x}{x e ^{x}} k for x \neq = 0 for x = 0

h

is continuous for all real numbers. What is the value of

k

? Choose 1 answer:

3
$e$
0
$- 1$

Topic:

Limits and Continuity

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Question 11

Views: 5,525

Find the volume of the solid formed by rotating the region enclosed by

y = e^{1 x} + 2, y = 0, x = 0, x = 0.4

y

Topic:

Applications of Derivatives

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Question 12

Views: 5,986

(calculator not allowed) If

h (x) = [g (x)]^{2}

, then find the valu

4
12
24
36

Topic:

Derivatives

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Question 13

Views: 5,099

Although the electrical barrier acts to repel the silver carp, it is not perfect. Which statement best describes a disadvantage of the electric barrier solution?

The barrier is powered by renewable energy sources.
The barrier is too far from Lake Michigan to be effective in controlling silver carp populations.
Silver carp are not killed by electricity; therefore they might still get past the barrier and move into Lake Michigan.
All the fish in the area will be prevented from moving past the barrier; therefore, eventually no fish will be found in Lake Michigan.

Topic:

Limits and Continuity

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Question 14

Views: 5,629

Ise the graph of

f

to determine where

f

is not differentiable, and it reason

(x) = (x, 2 x, if if x \leq 0 x > 0)

Topic:

Derivatives

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Question 15

Views: 5,368

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. 1. [7.78/10 Points] DETAILS PREVIOUS 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

n = 2, 4

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

n = 2

. upper sum 9424777961 lower sum 628

1 +

5 6^{\circ} F

Topic:

Applications of Derivatives

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Question 16

Views: 5,339

Reddit E 3.3.3 Quiz: Square Roots Question 1 of 6 Which of the following are square roots of the mumber below? Gheck a apply. 225

-15
$22 5^{1/2}$
150
$22 5^{172}$
88
15

Topic:

Definite Integrals

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Question 17

Views: 5,909

lim_ ain(x) x70 a+tancx) ↓ sin(x) * 1+tam(x) x ↓ Xrm (x) x (^+tan(x)) ↓ lim sin(x) lim x X X-70 x=-70 a+tan(x) X x-70 n+tam(x) (1) - liv m

Topic:

Limits and Continuity

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Question 18

Views: 5,310

Use Simpson's rule with

n = 1

2 n = 2

subintervals) to approximate

\int_{1}^{7} \frac{1}{1 + x ^{2}} d x

Topic:

Derivatives

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Question 19

Views: 5,985

DO NOT WRITE ON THIS TEST Chapter 1 Quiz The Fire Service 1. Training and performance qualifications are specified in NFPA Standard for Firefighter Professional Qualifications

1101
1011
1100
1001

Topic:

Limits and Continuity

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Question 20

Views: 5,494

Which of the following roles could a Firefighter fulfil through training and promotion?

Overhaul a fire scene
Perform fire safety surveys
Fire apparatus driver
Coordinate an interior attack line team

Topic:

Limits and Continuity

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