6,212 Answered Questions for the topic calculus

14d

#### Calculus help needed please

Which of the following statements is/are true? I. If f '(x) > 0 on (a, b), then f(x) is increasing on [a, b].II. If f(a) = f(b), then there exists a number c in (a, b) such that f '(c) = 0.III....
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14d

#### Help with Calculus

The side length of a rectangular box with a square base is increasing at the rate of 2 ft/sec, while the height is decreasing at the rate of 2 ft/sec. At what rate is the volume of the box changing...
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14d

#### Help with Calculus question

Given the relationship x2 + 3y2 =12, with y > 0 and = 2 units/min., find the value of at the instant y = 1 unit. Question options:
1)
units/min
2)
units/min
3)
-2 units/min
4)
0...
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14d

#### Interval of moving object

Given the position function, , between t = 0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right.Question...
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14d

#### Finding velocity and acceleration

Given the position function s(t), s(t) = t3 - 5t, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 3 seconds.Question options:
1)
12...
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14d

#### Function zero problem

find all rational zeros of this functionf(x) = 3x4 + 16x3 - 59x2 - 400x - 400

14d

#### Rational Zeros of Function

find all the rational zeros of these functionsx3 - 10x2 + 23x - 14x3 + 6x2 + 9x + 4

14d

#### Find all zeros of the functions

What are all the zeros of these two functions?x(x-3)2(x-3)(x+9)3

14d

#### Minima or Maxima

Approximate (to two decimal places) any relative minima or maxima
f(x) = 3x2 - 2x - 5
f(x) = x3 - 3x2 - x + 1
f(x) = x(x-2)(x+3)

14d

#### Which of the following relations are functions

Which of the following relations are functions 1. y= -x + 22. x= -y + 23. x - y = 2Answer choicesA. All of themB. Choice 1 onlyC. Choice 2 onlyD. Choice 3 only

15d

#### Pair of functions that satisfies the limit

For which pair of functions f(x) and g(x) below will the ?Question options:
1)
f(x) = ex; g(x) = x3
2)
f(x) = x5; g(x) = ex
3)
f(x) = x3; g(x) = ln(x)
4)
f(x) = x-2; g(x) = e-x
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15d

#### Need help with the mean value theorem

If f(x) = |(x2 - 6)(x2 + 2)|, how many numbers in the interval 1 ≤ x ≤ 2 satisfy the conclusion of the mean value theorem?Question options:
1)
None
2)
One
3)
Two
4)
Three

15d

#### Stuck on this calculus problem please help

A 15-ft ladder rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 0.33 ft/sec, how fast, in ft/sec, is the bottom of the ladder sliding away from the wall, at...
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15d

#### Please help me with this calculus problem

The height of a cylinder with a fixed radius of 4 cm is increasing at the rate of 2 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is...
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15d

#### propogated error in cm^2 and relative error

The radius of a circular disk is measured as 30cm with a maximum error in measurement of +/- 4 cm. Use differentials to estimate the propagated error and the relative error in the calculated area...
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15d

#### Finally, when the top of the ladder is 6 ft above the ground, the rate at which the bottom of the ladder is sliding away from the wall is

A 18-ft ladder is leaning against a wall, and the top of the ladder is sliding down the wall at a constant rate of 1.75 ft/s. How fast is the bottom of the ladder sliding away from the wall when...
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15d

#### A cylindrical can without a top must be constructed to contain V=2100cm3 of liquid. Find the base radius r and height h that will minimize the amount of material needed to construct the can.

I am just completely lost on this question. I am a first year student trying to take calc one online and I am completely struggling.

16d

#### Vector and parametric equation

1) What is the vector and parametric equation for: the horizontal line through (pi,e)2) At time t, the position of an object moving with constant velocity is given by the parametric equations...
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16d

#### factoring polynomial

using the factors (3x + 2) & (x - 1), find the remaining factor(s) of f(x) = -6x4 + 23x3 - 12x2 - 11x + 6 and write polynomial in fully factored form.

16d

#### Calculus 2 sequence of natural numbers expressions

a(n)=2n2 +1 for n belonging to natural numbers N. Compute the following expressions 1) a n*42) a* (n • a* a * 3)3) a*(a * a * i) *means subI’m so lost. I thought maybe it was asking for a sequence...
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16d

#### Projectile Motion using Vector Calculus

Trebuchet can throw an 80 lb rock up to 100 yards. The maximum height that the rock reaches as it flies through the air toward a fortress wall 100 yards away is 20 yards, calculate the initial...
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17d

#### The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 2x2 + x − 3 and g(x) = x − 1. Find f(x) • g(x).

The domain for f(x) and g(x) is the set of all real numbers.Let f(x) = 2x2 + x − 3 and g(x) = x − 1.Find f(x) • g(x).

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