11 Answered Questions for the topic Calculus AB

Calculus Ab Math Calculus Mathematics

05/05/22

Optimization Help and explanation
A Norman window is shaped like a rectangle with a semicircle on top of it. A carpenter has 10m of wood trim and wishes to cover the sides of the rectangle and the upper part of the semicircle.... more
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Calculus Ab Math Calculus Mathematics

05/05/22

Speedometer readings for a motorcycle at 12-seconds intervals are given in the table.
Speedometer readings for a motorcycle at 12-seconds intervals are given in the table.t (sec) 0 12 24 36 48 60v (ft/sec) 22 26 29 23 23 30(a) Estimate the distance, in feet, traveled by the... more
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Calculus Ab Math Calculus Mathematics

05/04/22

Estimate the area under the graph with midpoint?
 Estimate the area under the graph of f(x) = 16 - x^2 from x=0 to x=4 using 4 approximating rectangles.I got the right sum = 34 and left sum = 50 but how do I estimate area with midpoints?
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Calculus Ab Math Calculus Mathematics

05/02/22

integral problem
The velocity function is v(t)=t2−3t+2 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [−3,6].displacement = ??distance... more
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04/27/22

#45 ASAP What is the rate of change, in square inches per second
A region is bounded by two concentric circles, as shown by the shaded region in the figure above. The radius of the outer circle R  is increasing at a constant rate of 2 inches per second. The... more
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Calculus Ab Calculus Calculus Bc

10/23/21

ASAP --> AB CALC REVIEW QUESTION (Answer parts a b c )
A particle travels up and down in a wave pattern so that its position from its origin point, in millimeters, is given by s(t)=4sin(t)-3cos(t), where t is time, in secondsa) Is the particle moving... more
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Calculus Ab Math Calculus Mathematics

03/04/21

Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of (continued)
x: 1 , 3 , 4 , 6 , 7 , 9 , 10f(x): 4 , 8 , 6 , 10 , 10 , 12 , 16
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Calculus Ab Math Calculus Calculus Bc

01/31/21

A city planner developed the function P to model the population of a city over the next 25 years
where P(t) is the projected population of the city t years from now. According to the model, which of the following gives the rate at which the population of the city will be changing at time... more
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Calculus Ab Math Math Calculus

01/29/21

Derivative and chain rule questions

1) If g(x)=2ln(x+1) and f is a differentiable function of x what is equivalent to the derivative of f(g(x)) with respect to x?2) For which of the following functions is the chain rule an... more
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Calculus Ab Calculus

04/30/19

The function f is continuous and ∫0 to 8 f(u)du=6. What is the value ∫ 1 to xf(x^2-1)dx? Simplify completely. Please help! Thank you.
The function f is continuous and ∫0 to 8 f(u)du=6. What is the value ∫ 1 to xf(x^2-1)dx? Simplify completely. Please help! Thank you.
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Calculus Ab

10/10/16

find y'(3) when y=7
I don't understand because if the derivative is 0, what would y'(3) be?
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