25,270 Answered Questions for the topic calculus

10/17/23

Relationships of Probability
High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges... more
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Calculus

10/16/23

Let r(x)= f(g(h(x))), where h(1)=4, g(4)=3, h'(1)=3, g'(4)=3, f'(3)=8. Find r'(1).

Let r(x)= f(g(h(x))), where h(1)=4, g(4)=3, h'(1)=3, g'(4)=3, f'(3)=8. Find r'(1). r'(x)=
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Calculus

10/16/23

Business Calculus

Given the cost function C(x)=1/4x^3-2x^2+6x+20, where x is hundreds of items produced and C(x) is thousands of dollars, find the following.a. The level of production which minimizes marginal costb.... more
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Calculus Math Trigonometry

10/16/23

What is the value of a
If the following function is continuous what is the value of a h(t) = {2t+b if t<0 } { 2cos(t) -3 if 0≤t≤ π/2} { asin(t) + 5b if t>π/2}I know you set everything equal to... more
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Calculus Math

10/16/23

How do you do problems like this? Im super confused? PLEASE SHOW YOUR WORK!

suppose g(x) = { 1/ (x-2) if x<1 }{2x-3 if x ≥ 1 }The bet description concerning the continuity of g(x) is that the function?Can someone please explain how to do this problem in the answerand... more
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Calculus Math

10/16/23

How do I solve this problem?
suppose g(x) = { 1/ (x-2) if x<1 } {2x-3 if x ≥ 1 }The bet description concerning the continuity of g(x) is that the function?Can someone please explain how to... more
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Calculus Mathematica

10/16/23

Use logarithmic differentiation to find dy/dx
e^2y=(sinx)^(lnx)
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Calculus

10/15/23

A particle moves along the curve y = ln(x/2) where x > 0
A particle moves along the curve y = ln(x/2) where x > 0 As the particle passes through the point (2e, 1) its x-coordinate increases at a rate of sqrt(4e ^ 2 + 1) * cm / s How fast is the... more
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Calculus Math Precalculus

10/15/23

Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)
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Calculus Math Precalculus

10/15/23

Find all values of c in the open interval (a, b) such that f ′(c) = 0. (Enter your answers as a comma-separated list. If Rolle's theorem cannot be applied, enter NA.)
If Rolle's theorem can be applied, find all values of c in the open interval (a, b) such that f ′(c) = 0. (Enter your answers as a comma-separated list. If Rolle's theorem cannot be applied, enter... more
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Calculus Math Precalculus

10/15/23

Find a value of x such that f ′(x) = 0.
Question : "Find a value of x such that f ′(x) = 0."
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Calculus Math Precalculus

10/15/23

Find the absolute extrema of the function on the closed interval.
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Calculus Math Precalculus

10/15/23

Find the critical numbers of the function. (Enter your answers as a comma-separated list.)
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Calculus

10/15/23

A spherical balloon is inflated with gas at the rate of 20 ft^3/min. How fast is the radius of the balloon changing at the instant that r=2ft. FIND dr/dt
pls help
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Calculus

10/15/23

Using the chain rule
Differentiate the function below with respect to t, where r=r(t) is a function of t e^r^2+ar+b
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Calculus

10/15/23

Using the Chain rule

F(x)= sin^2(x) -sin (x^2)
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Calculus

10/15/23

Showing all of your working, calculate
Showing all of your working, calculate ∫ t /1 − t^2 dt, using the substitution t = sin θ (and limiting the domain to t ∈ (−1, 1)). Ensure that you write your final answer in terms of t. [Note: this... more
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Calculus

10/15/23

Using the chain rule
f(x)=e^ax cos(bx) for constants a and b
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Calculus

10/14/23

The radius of a right circular cylinder is increasing at the rate of 5 cm/s
The radius of a right circular cylinder is increasing at the rate of  but its total surface area remains constant at  At what rate is the height changing when the radius is ?
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Calculus

10/14/23

A person 1.85 m tall walks towards a lamppost on level ground at a rate of 0.7 m/sec
A person  tall walks towards a lamppost on level ground at a rate of  . The lamp on the post is  high. At which rate is the tip of the person's shadow moving toward the lamppost when the person... more
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Calculus

10/14/23

A conical cup is 4 cm across and 8 cm deep.
A conical cup is  across and  deep. Water leaks out of the bottom at the rate of  What is the rate of change of the water's level when the height of the water is ?
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Calculus

10/13/23

Find the absolute maximum and absolute minimum values of f on the given interval.
Find the absolute maximum and absolute minimum values of f on the given interval.A) f(x)=2x^3-6x^2-18x+9, [-2,4]B) f(x)=(x^2-1)^3, [-1,2]C) f(t)= t(sqrt9-t^2), [-1,3]
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Calculus

10/13/23

In this question you will use integration by parts twice. Consider the integral
I have asked this question before but maybe I did not provide all the questions so maybe there is some mistake.In this question, you will use integration by parts twice. Consider the integralI =... more
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10/13/23

Consider the feasible region in R3 defined by the inequalities
Consider the feasible region in R3 defined by the inequalities x1 + 2x2 − x3 ≥ 3, x2 + 3x3 ≤ 2, and x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. (a) Introduce non-negative slack variables x4 and x5 and write down the... more
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Calculus Math Matlab

10/13/23

Matlab limit help
% (3) Your turn: generate the first 20 sequence terms% in the recursively defined sequence% X1 = 0.6, X_n = 1.5*X_(n-1).*(1-X_(n-1))% Call the sequence X (like F above).X(1)= [0.6]; % the initial... more
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