Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1

how do we find the points of discountity of f(x)=8x/5x^2-1? If i made the denominator =0 i would get squared 1/5 and then when i will plug it back it will be undefined or am i doing...

As lim x approaches -3 of x^2-3x/x^2-9 1.how can you solve it in a step by step i am really confused 2. When finding the sided limit we subsitutw in the original function or after...

g(t)= ∫0t((1/1-x)+(1/(1+x)^2))dx

Possible answers include: A. (3, -2) B. (0, 1/4) C. (-2, -1) D. (-5,-6)

Let R be the region in R^2 enclosed by the curve y = x^2 + 3 and the line y = 4x + 3. a) Write the area of R as a definite integral. b) Calculate...

cal 2 cal 2 cal 2 cal 2 cal 2

I calculated the answer to be -8sech^2(4x)tanh(4x) but i'm not sure if it is correct.

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 38 and 52 degrees during the day and the average daily temperature first occurs...

Use known Taylor Series to find the value for: (π is Pi character) π/3 - π/3^3 * 3! + π/3^5 * 5! - π/3^7 * 7! + ......

Suppose f(x) is a function with continous Derivatives and.. f(8) = 4 f'(8)= 5 f''(8)=-4 f'''(8)= 1 a.) Write the Taylor Polynomial of degree...

degree 5 with center at zero.

I also need to find the answer to the additional question: "By interpreting the integral as an area, find the volume V of the torus."

I have been stuck on this integral for 3 hours. Here is what I have so far.. : https://ibb.co/mWAC7x

Prove that

What is the arclength of r=6sin(3θ)? Given the formula Lpolar= ∫√[r^2+(dr/dθ)^2]dθ I can find the arc length using the r stated above and r'=18cos(3θ) Given that one petal is...

Sketch the first quadrant region bounded below by the graph of g(x)=625/(x^2+25)^2,above by f(x)=2−625(x^2+25)^2,and at the right by x=4. Rotating that region about the y-axis generates a...

cos-1(cos(47pi/12) arcsin(tan(-pi/6)) csc-1(cos(2017pi/2018)) cot(arcsin(1/2 csc(-11pi/4)))

I want Correct answer

I feel that there should be another x in the problem so that u sub works, or something, as it is I believe it is a partial gamma function or something, but I know we should not learn those until much...

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