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American National Curriculum

Ap Calculus Ab

Grade 12 Ap Calculus Ab Questions asked by Filo students

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: 5,323

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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Views: 5,047

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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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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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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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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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 10

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 11

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 12

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 13

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 14

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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Question 15

Views: 5,794

A unified command system eliminates multiple command posts, establishes a single set of incident goals and objectives, and ensures mutual communications and cooperation as part of what system?

Standard operating procedures
Incident command system
Regulations
Suggested operating guldelines

Topic:

Limits and Continuity

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Question 16

Views: 5,508

What concept of governance is developed by various government-authorized organizations to implement a law that has been passed by a government body?

Regulations
Policies
Standard operating procedures
Suggested operating guidelines

Topic:

Limits and Continuity

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Question 17

Views: 5,608

Many fire departments malntain thelr standard operating procedures (SOPs) on a computer network, which simplifies the process of providing all employees with SOPs.

Existing
Need-to-know
Up-to-date
Personalized

Topic:

Limits and Continuity

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Question 18

Views: 5,929

An economy consists of coal, electric, and steel industries. For each

1.00 o f o u tp u t, t h eco a l in d u s t ry n ee d s

0.03 worth of coal,

0.20 w or t h o f e l ec t r i c i t y, an d

0.10 worth of steel; the electric industry needs

0.04 w or t h o f co a l,

0.02 worth of electricity, and

0.01 w or t h o f s t ee l; an d t h es t ee l in d u s t ry n ee d s

0.20 worth of coal and

0.01 w or t h o f s t ee l . T h es a l es d e man d i ses t ima t e d t o b e

1 billion. for coal,

4 bi ll i o n f ore l ec t r i c i t y, an d

3 billion for steel. Suppose that the demand for electricity triples and the demand for coal doubles, whereas the demand for steel increases by only 50%. At what levels should the various industries produce in order to satisfy the new demand? Set up the input-output matrix. Coal Electric Steel Coal Electric Steel D

Topic:

Limits and Continuity

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Question 19

Views: 5,817

How do you find the slope of the tangent line to the graph of the function

h (t) = t^{2} + 3 at (- 2, 7)?

Topic:

Derivatives

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Question 20

Views: 5,705

How do you find a one sided limit for an absolute value function?

Topic:

Limits and Continuity

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