427 Answered Questions for the topic Calculus 2

Calculus 2

02/22/15

If f (5)= 4, f' (5)= -1, g (5)= 2, and g' (5)= -3, then find h'(5) for each of the following functions:
(a) h(x)= 3f(x)   (b) h(x)= -2g(x)   (c) h(x)= 2f(x) +5   (d) h(x)= -g(x) -1   (e) h(x)= 2f(x) +3g(x)
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Calculus 2

02/22/15

If limx?1 f(x) = 2 and limx?1 g(x) = 4 (See Description for full Question)
If limx→1 f(x) = 2 and limx→1 g(x) = 4, find    (a) limx→1 (5f(x) + 3g(x))   (b) limx→1 [f(x)g(x)]   (C) limx→1 g(x) ÷ f(x)                 (d) limx→1 [5 + 2x - 3g(x)]
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Calculus 2

02/22/15

Use the four-step process to find f'(x) for f(x) = -3x+2.
Use the four-step process to find f'(x) for f(x) = -3x+2.
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Calculus 2

02/22/15

Find the indicated quantities for y= f(x) = 2x^2+5
(a) The change in y if x changes from 1 to 3. (b) The average rate of change of y with respect to x if x changes from 1 to 3. (c) The slope of the secant line through the points (1,f(1)) and... more
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Calculus 2

02/15/15

Let F(x) = -x^2+2x-3
Three Part Question: ( A )Find the average rate of change of the graph of f(x) between x=c and c+h. ( B )Find the slope of the tangent line of the graph of f(x) at x=c by the definition. ( C... more
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Calculus 2

02/15/15

Let f(x) = -x^2+2x-3 Find the slope of the tangent line of the graph of f(x) at x=c.
Find the average rate of change of the graph of f between x=c and c+h. Find the slope of the tangent line of the graph of f(x) at x=c.
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Calculus 2

02/15/15

Let f(x) = -x^2+2x-3 Find the average rate of change of the graph of f between x=c and c+h.
Find the average rate of change of the graph of f between x=c and c+h.
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Calculus 2

02/14/15

integrate sechsqrt(x) tanhsqrt(x)/sqrt(x)
I'm not quite sure on how I should approach this.
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Calculus 2

02/10/15

Consider the curve with equation f(x)=e^-2x^2 for x<0. find the coordinates of the point of inflection and justify that it is a point of inflection
Consider the curve with equation f(x)=e-2x^2 for x<0 Find the coordinates of the point of inflection and justify that it is a point of inflection
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Calculus 2

02/09/15

Consider the curve for the equation x^2+xy+y^2=3 Find in terms of k,the gradient of the curve at the point (-1,k)
Consider the curve for the equation x2+xy+y2=3   Find in terms of k,the gradient of the curve at point (-1,k).    Given the gradient to the curve is parallel to the x axis at this point,find the... more
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Calculus 2

01/31/15

what is the domain and range of the following:
what is the domain of f(x) = 8x − 9 and  f^-1(x) = x+9/8
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01/28/15

Calculate Rn for f(x)=(-x^2/3)+7 on the interval [0,4]
Consider the function f(x) = (x^2 / 2) + 7 In this problem you will calculate (low: 0, up: 4) ((-x^2 / 3) + 7)*dx by using the definition (low:a, up:b) f(x)dx = lim n-->inf [ (bottom: i=1, top:... more
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01/15/15

Find all values of A so that y=sin(Ax) is a solution to ((d^2)y)/(d(x^2))+9y=0, A constant.
calculus question, PLEASE HELP.
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11/21/14

Need some help with how I am doing this problem.
Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work. x = 2t3 + 3t2 − 12t, y = 2t3 + 3t2 + 3   I think what... more
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11/21/14

Find a Cartesian equation for the curve. r cos ? = 7.
I have been trying at my wits end to understand how to approach this problem but I cannot seem to get a correct answer. I think I need to start from scratch with some advice. Thank you!
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10/29/14

I. Consider the region bounded by y^2=x and x=2y. Find the exact volume of the solid obtained by rotating this region about the given line.
a. the x-axis b. the y-axis c. y=2 d. x=4
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Calculus 2 Series Infinite Series

10/27/14

Calc 2 Questions
Hi,   We are currently finishing our chapter on Series in class, and I am having a little trouble with the homework, especially these types of problems (error bound problems). I really do not... more
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10/26/14

What is the volume of the solid bounded by z=0, x+2y=4, x=vz e y=vx?
triple integrals
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10/22/14

What is the volume of the surface intercepted by x^2+y^2=1 , z=2-|x| , z=0 ?
triple integrals
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Calculus 2

10/18/14

Can you help me solve this problem. calc 2 problem. I think im suppose to use trig substitution.......i think.
∫ x/(x2 +1)2 dx   Limits equal ∞ on top and 1 on the bottom
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Calculus 2

10/08/14

Evaluate the given limit:
lim x->3 ((x-3)/(sqrt(x) - sqrt(6-x)))   No l'hospital, use derivative limit rules.
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Calculus 2 Improper Integrals

10/06/14

One last Calc 2 Question: Improper Integrals
I got all the way through this problem and the answer seemed legitimate, but I did not get the correct answer. Thank you in advance for any help. I really appreciate it.   Find the volume of the... more
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Calculus 2

10/06/14

Calc 2 Problem: Improper Integrals
Let R be the region bounded by the graph of y=e^(-ax) and y=e^(-bx) for x is greater than or equal to zero where a>b>0. Find the area of R.    Any help with this would be much appreciated!... more
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Calculus 2

09/29/14

Calculus 2 Question
Use partial fraction decomposition to solve the integral.   ∫(4x^2-57x+192)/(x^3-16x^2+64x)   For my answer, I got 3lnx+ln(x-8)+((x-8)^-1)+C   Can anyone see a mistake? It seemed like this... more
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Calculus 2

09/26/14

Calculus 2 for Engineers Question
∫ (x^2-4x+4)dx/((12+4x-x^2)^(3/2))   Any help with this integral would be much appreciated. Is partial fraction decomposition necessary here?   Thank you!
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