1,126 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

06/18/20

If the fine imposed is the one needed to motivate the company to cleanup the spill in the specified number of days, and the company hires crews to do that, what would the Cost to the company be?
WHAT YOU KNOW:An oil spill has fouled 400 miles of Pacific shoreline. The company responsible has been ordered to clean the mess. Each clean-up crew costs $14000 to bring in, and $400 per crew per... more
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Ap Calculus Math Calculus

06/17/20

If the fine imposed is the one needed to motivate the company to cleanup the spill in the specified number of days, and the company hires crews to do that, what would the Cost to the company be?
WHAT YOU KNOW:An oil spill has fouled 400 miles of Pacific shoreline. The company responsible has been ordered to clean the mess. Each clean-up crew costs $14000 to bring in, and $400 per crew per... more
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06/01/20

Fundamental theorem of Calculus
Given that D(t) is a continuous and diffrentiable function . Also D(0) = 0 , D(5) = 120 and D(20) = 200 , simplify the integral using fundamental theorem , ∫ D'(t/4)dt inthe interval 0<t... more
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Ap Calculus Calculus

05/11/20

Antiderivative Help!
So I am preparing for AP calculus AB exam coming up, and I recently am stuck on this minuscule problem that frequently shows up in other forms. If I am told to Integrate f’’(2x) , what should the... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Calculus help needed pleeease!!
Given f(x) > 0 with f ′ (x) < 0, and f ″(x) < 0 for all x in the interval [0, 1] with f(0) = 1 and f(1) = 0.3, the left, right, trapezoidal, and midpoint rule approximations were used to... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Differential Equation
The differential equation  I. produces a slope field with horizontal tangents at x = -4II. produces a slope field with vertical tangents at x = -4III. produces a slope field with columns of... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Calculus help needed
The temperature of a cup of hot tea varies according to Newton's Law of Cooling: , where T is the temperature of the tea, A is the room temperature, and k is a positive constant. If the water cools... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Find the expression for the mass
The rate of decay in the mass, M, of a radioactive substance is given by the differential equation , where k is a positive constant. If the initial mass was 200g, then find the expression for the... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Find the solution

Find the particular solution to y ′ = 2sin(x) given the general solution is y = C − 2cos(x) and the initial condition .Question options: 1) -2cos(x) 2)  3 - 2cos(x) 3)  2 - 2cos(x) 4)  -1... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Use 6 Trapezoids to estimate Integral
Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of  . x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16
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Ap Calculus Math Calculus Precalculus

05/09/20

Which are true of the equation
The differential equation  .I. produces a slope field with horizontal tangents at y = 2II. produces a slope field with vertical tangents at y = 2III. produces a slope field with columns of parallel... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Which are true for the equation
The differential equation I. will produce a family of quadratic functions.II. will produce a family of linear functions.III. will produce a family of exponential functions.Question options: 1) I... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Table for differential equation
Choose the appropriate table for the differential equation .Question options:1) x 0 0.5 2 0 undefined 2) x 0 0.5 2 undefined -1 undefined 3) x 0 0.5 2 0 -3 0 4) Cannot be found... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Differential Equation
The differential equation  . I. will have a slope field with negative slopes in quadrant III. will have a slope field with positive slopes in all quadrantsIII. will produce a slope field with... more
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Ap Calculus Math Calculus Precalculus

05/09/20

Differential Equation
The differential equation  . I. produces a slope field with horizontal tangents at y = 4II. produces a slope field with horizontal tangents at x = 0III. produces a slope field with vertical... more
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Ap Calculus Math Calculus Precalculus

05/08/20

Please help, I am stuck...
Find F ′(x) for .Options: 1)  sin(24) - sin(x12) 2)  sin(x7) 3)  -sin(x12) 4)  -3x2sin(x12)
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Ap Calculus Math Calculus Precalculus

05/08/20

Plese help, I am stuck...
Which of the following shows that f(x) grows faster than g(x)? Options: 1)  2)  3)  4)  None of these
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Ap Calculus Math Calculus Precalculus

05/08/20

Please help, I am stuck...
The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Approximation, using the 4... more
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Ap Calculus Math Calculus Precalculus

05/08/20

Really need someone's help with calculus
The slope field for a differential equation is shown in the figure. Determine the general solution of this equation.Options: 1)  y=Cx2 2)  x=Cy2 3)  y2 - x2 = C2 4)  x2 + y2 = C2
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Ap Calculus Math Calculus Precalculus

05/08/20

Assistance with math please?
Find the domain for the particular solution to the differential equation , with initial condition y(2) = 2.Options: 1)  x > -2 2)  3)  [-4, 4] 4)  All real numbers
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Ap Calculus Math Calculus Precalculus

05/08/20

Hello! I need assistance with math. Thank you a lot
Find the average value of , on its domain.Options: 1)  2π 2)  4π 3)  2 4)  4
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Ap Calculus Math Calculus Precalculus

05/08/20

Really really need assistance and help. Thank you in advance..
R is the first quadrant region enclosed by the x-axis, the curve y = 2x + a, and the line x = a, where a > 0. Find the value of a so that the area of the region R is 18 square units.... more
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Ap Calculus Math Calculus Precalculus

05/08/20

Really really need assistance and help. Thank you in advance..
Use geometry to evaluate  where .
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Ap Calculus Math Calculus Precalculus

05/08/20

Please help! I am stuck with this homework problem..
Show that the function  is constant on the interval (0, +∞).
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Ap Calculus Math Calculus Precalculus

05/08/20

Help really needed. Thank you so much
Oil is delivered to a refinery between the hours of midnight (t = 0) and 5 a.m. (t = 5). Selected values of the rate of delivery are shown in the table below, with t measured in hours past... more
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