Question

Asked Feb 6, 2019

1 views

Step 1

If a function y = f(x) in the range for a ≤ x ≤ b, is rotated about x axis then the surface area, S of the solid so generated is given by the formula shown on the whiteboard.

Step 2

x = 9 - y^{2}

when y = 1, x = 9 - 1^{2} = 8

when y = 3, x = 9 - 3^{2} = 0

Hence, a = 0 and b = 8

y = f(x) and f'(x) will be as shown on the white board.

Step 3

Hence, the surface area, S will be evaluate...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Determine the area, in square units, of the region bounded by g(x)=6x+12 and f(x)=x2 +7x−8 over the ...

A: We have to find the area under the curve of g(x), then substract the area under the curve of f(x). T...

Q: Help with #8

A: Let's understand the formula for calculation of curvature.For a function, y(x) the curvature is give...

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)....

Q: A bug is moving along the right side of the parabola y = x^2 at a rate such that its distance from t...

A: Let (x,y) be a point on the parabola y=x^2. Then (x,y)=(x,x^2).Let, distance from origin= p. Given, ...

Q: find the average rate of change for each function over the given interval y=x2+2x between x=1 and ...

A: The average rate of change of f(x) on the interval [a,b] is (f(b)-f(a))/(b-a). By substituting the v...

Q: using the formula attached to this question find the GINI Index if the Lorenz Function is Y= 0.92x1....

A: The given Lorenz function is,

Q: Kindly help me with this differential equation and identify P(x), Q(x) and v(x).

A: The given differential equation is,

Q: Decide which integral of the Divergence Theorem to use and compute the outward flux of the vector fi...

A: From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E...

Q: dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO

A: The given equation is y=22+x.