647 Answered Questions for the topic calc

02/11/20

inverse function

Find (f−1)'(a).f(x) = 3x3 + 2 sin x + 3 cos x,    a = 3I got zero but it is wrong.
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01/28/20

Average velocity calculus questions
An object moves on a line so that its position in meters at time t seconds is s(t) = sin(t).a) Find the average velocity over the time interval [1, 1+h]b) Estimate the instantaneous velocity when t... more
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01/24/20

Cartesian equation
Vector (4,5,-1) is perpendicular to the plane that contains point A(2,9,6). Find the Cartesian equation of this plane.
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Calc Math Calculus

01/16/20

integrals Question
Find f.f"(x) = −2 + 12x − 12x2,    f(0) = 9,    f'(0) = 14
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Calc Math Calculus

01/16/20

integrals question
Find ff "(x) = 20x3 + 12x2 + 4,     f(0) = 1,    f(1) = 3
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12/13/19

I need to find the polynomial function of degree 3.
I need to find the polynomial function of degree 3. (3,-3) is the point provided and the zeros are 4 and 6.
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12/04/19

Calculus word problem

Find the dimensions of a rectangle with area 216 m2 whose perimeter is as small as possible.smaller and larger values
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12/04/19

Calculus word problem

What is the maximum vertical distance between the line y = x + 6 and the parabola y = x2 for −2 ≤ x ≤ 3?
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12/04/19

graphing question calculus

f= (1/x^8) - (2x 10^8/x^4)Use calculus to find the intervals of increase and decrease and intervals of concavity (up and down)
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12/04/19

Graphing question - Calculus

produce the graph of f : f(x)= 1+(1/x) +(4/x^2) +(1/x^3)Use calculus to find the intervals of increase and decrease and intervals of concavity(up and down).
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12/04/19

MC Questions Calculus

(a) If f '(1) = 0 and f ''(1) = −3, what can you say about f?At x = 1, f has a local maximum.At x = 1, f has a local minimum. At x = 1, f has neither a maximum nor a minimum.More information is... more
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12/01/19

What is the square root of 27x^3 divided by the square root of 3x (solve using the quotient rule)
(√27x3) ———(√3x)
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11/21/19

Calculus Question
Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. What are the minimum and maximum possible values of f(8) − f(3)? ≤ f(8) − f(3) ≤
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11/21/19

Calculus I question
If f(2) = 4 and f '(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be?
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11/19/19

Absolute and Local max and min values of F
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f.f (If an answer does not exist, enter DNE.)f(x) = 3 + (x + 1)2
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11/17/19

Use the change of variable formula evaluate the double integral ∫ ∫R 1/ (√1-x^2-y^2) dA where the region R is the part of the cartesian plane above the xaxis between the circles x^2+y^2=1 & x^2+y^2=4
Can you please draw the region as well so that I can get more clarification
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11/14/19

Linear approximation

Hello, I have correctly solved part a of the following question:a) find linear approx of (1+5x)^1/7 at x=2 and b)then use it to approx (11.005)^1/7I found that the linear approx is 0.0914*x+1.22but... more
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11/13/19

chain rule question
if h(x)= sqrt(7+6*f(x)), where f(3) =7, f'(3)=4, find h'(3)
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11/13/19

Linear approx questions

Hello,I would appreciate any help with this. I am just having trouble navigating these type of questions:1.Suppose that we don't have a formula for g(x) but we know that g(2) = −1 and g'(x)=sqrt(... more
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11/13/19

Ellipse Calculus Question
at what point is the slope of the tangent line to the ellipse(x^2/25+y^2/4=1) equal to =1 b)what is the lowest the x coordinate (x,y), what is the largest the x coordinate (x,y)
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11/13/19

Calculus Problem

find y',y'(3) and the equation of the tangent line to the curve, x^2+(sin(2*pi*y)) = 9, at the point (3,8)1) the derivative of x is given by y'=.....2)the slope of the tangent line to the curve at... more
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11/10/19

Matrix solve for b
I have a matrix of Ax=b. That is 3X4. With the entry x+3y+7z=12. 1x+4y+10z=15. And 2x+3y+5z=X or we can call X really b3. I believe I need to somehow reduce to row echelon and solve for b3 by... more
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10/31/19

Help me with this integral problem?
Show whether ∫ 1/x^4 dx from -1 to 2 is convergent or divergent. If convergent, evaluate the integral. Here's my work:After integrating, I got [-1/(3x^3)] from -1 to 2 and I got -3/8 as the answer... more
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09/26/19

Find the slope of the tangent line to the curve defined by x^6+6xy+4y^2=176 at the point (2,4).
This is a derivative but I don't know how to do this question! I would appreciate if all work is shown with detailed steps! Provide the answer to the slope of the curve at the point (2,4) is_____.
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09/24/19

determine whether the pair of lines are parallel, perpendicular, or neither
6+8x=4y4x+8y=5
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