1,125 Answered Questions for the topic AP Calculus
01/04/20
Please help: calculus prob
Where is the second derivative of y = 2xe-x equal to 0? (5 points)Options:
0
1
2
4
01/04/20
Please help: calculus prob
Which of the following functions is continuous at x = 2?Options:
All are continuous at x = 2
01/04/20
Please help: calculus prob
The end behavior of most closely matches which of the following? Options:
y = 5
y = 2
y = 1
y = 0
01/04/20
Calculus problem
The side of a square is measured to be 16 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the calculated area. Include units please, thank you!
01/04/20
Calculus problem, help!
Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 6cm and a height of 12cm, at the rate of 3 cm3/min. At what rate is the depth of the water changing at...
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01/04/20
Calculus problem
The position function of a particle in rectilinear motion is given by s(t) = 2t3 - 21t2 + 60t + 3 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration...
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01/04/20
Calculus problem
What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the...
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01/04/20
Calculus problem
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x(1/3) + 6x(4/3). You must justify your answer using an analysis of f '(x) and f "(x).
Analyzing functions max and min
Which one of the following statements is true? Options:
If f is continuous on (a, b), then f attains an absolute maximum value and f attains an absolute minimum inside the interval (a, b).
If f...
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Evaluating problems
If f(x) is a continuous function defined for all real numbers, f(-1) = 1, f(-5) = -10, and f(x) = 0 for one and only one value of x, then which of the following could be that x...
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Analyzing functions max and min
Find the x-coordinate of the point(s) of inflection on the graph of y = x3 - 12x2 - 5Choices:
x = -2
x = 4
x = 2
x = 12
Analyzing functions max and min
What are the critical values on the graph of y = x3 - 12x + 1? Choices:
x = -2, 0, 2
x = -2, 2
x = -4, 4
x = -3.42, 0, 3.42
Analyzing functions of max and min
The maximum value of f(x) = x3 - 3x2 - 9x + 2 on the interval [0, 6] isChoices:
2
56
135
There is no maximum on [0,6]
Module calculus problem
The radius of a right circular cylinder is increasing at the rate of 3 ft/sec, while the height is decreasing at the rate of 6 ft/sec. At what rate is the volume of the cylinder changing when the...
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Module calculus problem
Given the relationship 2x2 + y3 =10, with y > 0 and = 3 units/min., find the value of at the instant x = 1 unit.Options:
-9 units/min
- units/min
-13/2 units/min
-1/9 units.min
Module calculus problem
Given the position function, , between t = 0 and t = 15, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the...
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Module calculus problem
Given the position function s(t), s(t) = t2 + 3t + 1, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 4 seconds.Options:
11 m/sec; 2...
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