1,125 Answered Questions for the topic AP Calculus

Ap Calculus

12/18/19

Derivatives of Trig Functions
Find Options: e3lnx 3e3lnx 3x2
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Ap Calculus Calculus

12/18/19

Derivatives of Trig Functions
If f(x) = ln(1 - x), then find f '(x).Options: (1 - x)2
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Ap Calculus Calculus

12/18/19

Derivatives of Trig Functions
Find the derivative of e2xOptions: 2xe2x 2e2x e2x 2ex
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Ap Calculus Calculus

12/18/19

Derivatives of Trig Functions
If f(x) = 9x10 tan-1x, find f '(x).Options: 90x9tan-1x + 9x10  90x9tan-1x + 9x10tan-2x 90x9tan-1x - 9x10  90x9tan-1x + 9x10 
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Ap Calculus Calculus Functions

12/14/19

How do I solve these Calculus problems?
I know its kind of a lot but I'm really struggling and I need help, thank you! Find the equation of the tangent line to the inverse at the given point F(x)= 7x+sin(2x) @(0,0) F(x)=... more
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12/14/19

How do I solve these derivative problems?
Find tangent line at point (4,2) of the graph of f^-1 (inverse f(x)) if f(x)=x^3+2x-8?Find the equation of the tangent line to the inverse at the given pointa) f(x)=x^3+7x+2 @(10,1)b) f(x)=... more
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12/08/19

What is the second derivative and the particular solution of this problem? (AP Calculus)
If dy/dx=x/y2:-Find d2y/dx2 (in terms of x & y) -Find the particular solution of the given differential equation that satisfies the initial condition y(0)=2.
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Ap Calculus Calculus

12/06/19

Rules of Differentiation
If f and g are differentiable functions for all real values of x such that f(2) = 5, g(2) = 3, f '(2) = 1, g '(2) = -2, then find h '(2) if h(x) = f(x) g(x). Options: 13 -13 7 -7
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Ap Calculus Calculus

12/06/19

Rules of Differentiation
Find f'(x) for f(x) = -7x2 + 4x - 10Options: 14x - 10 -14x + 4 14x + 4 None of these
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Ap Calculus Calculus

12/06/19

Trigonometric Derivatives

Differentiate y = csc(x) - cot(x).Options: -csc(x) cot(x) + csc2(x) sec(x) tan(x) + csc2(x) -csc(x) cot(x) - cot2(x) 0
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Ap Calculus Calculus

12/06/19

Trigonometric Derivatives
Find  of Options: 2xsec(x2)tan(x2)
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Ap Calculus Particle Motion

12/06/19

The velocity of a bug is moving along the y-axis is given by the equation: v(t)= (2t-1)(t-5)^2. At what time(s) on the interval [0, 10] does the bug change directions?
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Ap Calculus Calculus

12/05/19

The Derivatives
Find the equation of the line tangent to y = -x2 + 3x + 8 at x = 2Options: y = -2x + 2 y = -x + 12 y = -x + 2 y = -2x - 12
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Ap Calculus Calculus

12/05/19

Applications of Limits
A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = -16t2 + 20t + 100. What is its velocity in ft/sec when t... more
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Ap Calculus Calculus

12/03/19

Applications of Limits
What is the instantaneous slope of y =  at x = -3?Options: -8/3 8/3 -8/9 8/9
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Ap Calculus Calculus

12/03/19

Continuity on functions
Where is  discontinuous?Options: f(x) is continuous everywhere 1 1, 4 4
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Ap Calculus Calculus

12/03/19

Continuity on functions
To two decimal places, find the value of k that will make the function f(x) continuous everywhere.Options: 22.00 -0.92 -1.76 None of these
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Ap Calculus Calculus

12/03/19

Limits Involving Infinity
Which of the following is false for .Options: The y-axis is not an asymptote of f(x). The x-axis is an asymptote of f(x). x = -1 is not an asymptote of f(x). x = 1 is an asymptote of f(x).
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Ap Calculus Calculus

12/03/19

Limits Involving Infinity
Find the equation of the horizontal asymptote for the function,  .Options: There is no horizontal asymptote. y = 100 y = 1 y = x
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Ap Calculus Calculus

12/03/19

Limits Involving Infinity
Evaluate Options: ∞ -∞ 0 4/9
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Ap Calculus

11/04/19

The function f is continuous and ∫0 to 8 f(u)du=6. What is the value ∫ 1 to xf(x^2-1)dx?
A. 3/2 B. 3 C. 6 D. 12 E.24I've used u-sub and I got u=x^2-1 du=2x but I don't really know how to continue after that or integrate the u sub into the f(u)du=6 part
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Ap Calculus

10/01/19

At what rate is the bungee cord being stretched when the sideline runner reaches the 30 yard line?
At halftime of a football game, two fan volunteers are attached together with a bungee cord and positioned on the sideline of the 50 yard line. One fan runs along the sideline at 4 yd/sec and the... more
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Ap Calculus

09/17/19

air is being pumped into spherical balloon at 5 ft.³ per minute. what Is the rate of change of the radius when the radius is 2 feet
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Ap Calculus Calculus

09/10/19

x^2+2x when x<1; 3 when x=1; x^3+x^2+x when 1<x<3; 0 when x=3; 2x+1 when x>3. Then it asks which of the following is false (Continuous), x=1;x=2;x=3;x=4

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Ap Calculus Calculus

09/10/19

lim as x approaches 4 g(x) = Infinity
So I saw this equation on my test but I do not know what to do with this information. I tried to find problems like this but cannot find any, please help!
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