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Ap Calculus

11/21/20

The limit as x approaches 2 gets closer to f(2)-f(x) over x-2 equals?

3) If f(x) = ln(x) , then lim f(2)-f(x) / x-2 = x->2 А) -ln(2) -1/2 C) 1/2 D) ln 2Side note- the limit as x approaches 2 gets closer to f(2)-f(x) over x-2... more

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Ap Calculus

11/21/20

The limit as x approaches 0 closer o 5 to the x power - 1 over x equals?

2) lim 5X -1 / x = x->0 A) 0b) ln 5C) 5 ln 5D) 1Side note- the limit as x approaches 0 closer o 5 to the x power - 1 over x equals?

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Ap Calculus

11/21/20

If f(x) = sin x, then lim 2pi)-f(x) / x-2 pi equals? x->2pi (2pi)-f(x) / x-2 pi =

If f(x) = sin x, then lim 2pi)-f(x) / x-2 pi equals? x->2pi (2pi)-f(x) / x-2 pi =A) -2 pi B) -1C) 1D) 2 pSide Note- If confused it's asking what is the... more

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Ap Calculus

11/20/20

Find the derivative of f(x)= ex / sec(x)

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Ap Calculus

11/19/20

Ap Calculus unit 4 frq

Water is flowing into and out of a small reservoir. The total amount of water can be modeled by R(t) = 20 -15sin(t^2/25) cubic feet, t is measured in hours, and 0≤ t ≤ 8.a) What is the average rate... more

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Ap Calculus

11/19/20

What dimensions will minimize the cost of a tank with a volume of 5920 cubic feet, whose hemispherical ends cost twice as much as the sides per square foot of surface area?

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must have a volume of 5920 cubic feet. The hemispherical ends cost twice as... more

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Ap Calculus

11/17/20

ap calculus ab frq

Consider the curve given by the equation (y^2)-(2(x^2)y)=3a) Find dy/dx. b) Write an equation for the line tangent to the curve at the point (1, –1). c) Find the coordinates of all points on the... more

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Ap Calculus

11/17/20

ap calculus ab frq

Water is flowing into and out of a small reservoir. The total amount of water can be modeled by R(t) = 20 -15sin(t^2/25) cubic feet, t is measured in hours, and 0≤ t ≤ 8.a) What is the average rate... more

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Ap Calculus

11/17/20

If g is the function defined above, then g'(3) is...?

g(x) = { 3-x for x<3 4x-12 for x≥3If g is the function defined above, then g'(3) is...?A) -1B) 0C) 4D) nonexistent

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Ap Calculus

11/14/20

Let f be the function defined above . Which of the following statements is true ?

f(x)={ x2 -20 for x<5 {-x2 +20 for x≥5 Let f be the function... more

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Ap Calculus

11/14/20

Let f be the function defined above. Which of the following statements is true?

f (x)= { 2 for x<5 { 2x-4 for x≥5 Let f be the function defined above. Which of the following statements is true?A) f is not differentiable at x = 5 because f is not... more

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Ap Calculus

11/14/20

Which of the following statements about the function f, if true, cannot be used to conclude that f is defined at x=1?

Which of the following statements about the function f, if true, cannot be used to conclude that f is defined at x=1?A) Lim x-->1 f(x) existsB) f is continuous at x=1C) f is differentiable at... more

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Ap Calculus

11/14/20

Which of the following statements, if true, cannot be used to conclude that f(0) exists?

Which of the following statements, if true, cannot be used to conclude that f(0) exists?A) Lim x-->0 f(x) existsB) F is continuous at x=0C) F is differentiable at x=0D) The graph of f has a... more

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Ap Calculus Math Ap Statistics

11/10/20

AP STAT QUESTION DUE TODAY PLS HELPPPPP!!!!!

A researcher is interested in determining the effectiveness of a new medication that may reduce blood pressure for individuals who have higher than average blood pressure. To determine the... more

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Ap Calculus Calculus

11/09/20

Finding Velocity, Acceleration and if the particle is increasing or decreasing

The position of an object moving along a line at any time 𝑡 ≥ 0 is given by the function 𝑠(𝑡) = 𝑡3 − 9𝑡2 + 18 , where s is measured in feet and t is measured in seconds. Find velocity of particle... more

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Ap Calculus Calculus

11/08/20

Finding the acceleration of a particle given the function

The velocity of a particle at time t is given by the function 𝑣(𝑡) = 𝑡3 − sin 𝑡 + 2, what is the acceleration of the particle at time 𝑡 = 2𝜋?

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Ap Calculus

11/06/20

An equation for the line tangent to the graph of the differentiable function f at x=2 is y=9x-12. Which of the following statements must be ?

An equation for the line tangent to the graph of the differentiable function f at x=2 is y=9x-12. Which of the following statements must be ? f(0) = -12 f(2) = 6 f' (2) = 9 *note that the third... more

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Ap Calculus

11/06/20

ap calculus frq

A particle moves along a straight line. For 0 ≤ t ≤ 5, the position of the particle is given by s(t)=3t+4t^2-t^3. a) What is the average velocity of the particle over the interval 0 ≤ t ≤ 4? b)... more

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Ap Calculus

11/05/20

Project: Designing a Roller Coaster - AP Calculus

Project: Designing a Roller Coaster - AP CalculusProject: Explain the mathematics of roller coaster construction. Imagine you are a roller coaster designer, and are asked to mathematically... more

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Ap Calculus

11/05/20

What is the slope of the line tangent to the curve y^3-xy^2+x^3=5 at the point (1,2)?

Options are as follows: A. 1/10B. 1/8C. 5/12D. 11/4

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Ap Calculus

10/31/20

Let f be the function given by f(x) = (|x ^ 2 -3| * (x + 0.5))/((x ^ 2 - 3)(x + 0.5)) which of the following open intervals is f continuous ?

Let f be the function given by f(x) = (|x ^ 2 -3| * (x + 0.5))/((x ^ 2 - 3)(x + 0.5)) which of the following open intervals is f continuous ? A ) (- 2, - 1) B ) (- 1, 0) C) (0, 1) D) (1, 2)I... more

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Ap Calculus

10/30/20

Let f be the function defined. For what values of b is f continuous at x=2

Let f be the function defined. For what values of b is f continuous at x=2f(x)= {e^bx for x≤2 {1.5x + b for x≥21) 0.508 only2) 0.647 only3) -1.282 and 0.5084) -2.998 and 0.647I'd also... more

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Ap Calculus

10/30/20

Let f be the function of x. Which of the following statements, if true, would guarantee that there is a number c in the interval [-2,3] such that f(c) = 10

1) f is increasing on the interval [-2,3], where f(-2)=0 and f(3)=202) f is increasing on the interval [-2,3], where f(-2)=15 and f(3)=303) f is continuous on the interval [-2,3], where f(-2)=0... more

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Ap Calculus

10/30/20

The function h is defined by h(x) = x^3-7/ x-3. Which of the following statements must be true?

The function h is defined by h(x) = x^3-7/ x-3. Which of the following statements must be true?1) Lim x--> 3(from the left) of h(x) = -∞ and lim x--> 3(from the right) of h(x) = -∞2) Lim x... more

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Ap Calculus

10/30/20

Let f be the function given by f(x) = x+ tan(x/5) -10. The intermediate Value Theorem applied to f on the close interval [12,15] guarantees a solution in [12,15] to which of the following equation?

Let f be the function given by f(x) = x+ tan(x/5) -10. The intermediate Value Theorem applied to f on the close interval [12,15] guarantees a solution in [12,15] to which of the following... more

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The limit as x approaches 2 gets closer to f(2)-f(x) over x-2 equals?

The limit as x approaches 0 closer o 5 to the x power - 1 over x equals?

If f(x) = sin x, then lim 2pi)-f(x) / x-2 pi equals? x->2pi (2pi)-f(x) / x-2 pi =

Find the derivative of f(x)= ex / sec(x)

Ap Calculus unit 4 frq

What dimensions will minimize the cost of a tank with a volume of 5920 cubic feet, whose hemispherical ends cost twice as much as the sides per square foot of surface area?

ap calculus ab frq

ap calculus ab frq

If g is the function defined above, then g'(3) is...?

Let f be the function defined above . Which of the following statements is true ?

Let f be the function defined above. Which of the following statements is true?

Which of the following statements about the function f, if true, cannot be used to conclude that f is defined at x=1?

Which of the following statements, if true, cannot be used to conclude that f(0) exists?

AP STAT QUESTION DUE TODAY PLS HELPPPPP!!!!!

Finding Velocity, Acceleration and if the particle is increasing or decreasing

Finding the acceleration of a particle given the function

An equation for the line tangent to the graph of the differentiable function f at x=2 is y=9x-12. Which of the following statements must be ?

ap calculus frq

Project: Designing a Roller Coaster - AP Calculus

What is the slope of the line tangent to the curve y^3-xy^2+x^3=5 at the point (1,2)?

Let f be the function given by f(x) = (|x ^ 2 -3| * (x + 0.5))/((x ^ 2 - 3)(x + 0.5)) which of the following open intervals is f continuous ?

Let f be the function defined. For what values of b is f continuous at x=2

Let f be the function of x. Which of the following statements, if true, would guarantee that there is a number c in the interval [-2,3] such that f(c) = 10

The function h is defined by h(x) = x^3-7/ x-3. Which of the following statements must be true?

Let f be the function given by f(x) = x+ tan(x/5) -10. The intermediate Value Theorem applied to f on the close interval [12,15] guarantees a solution in [12,15] to which of the following equation?

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