Find the area of the surface generated by revolving the curve about each given axis. X = 3t, y = 5t, 0 st< 5 (a) X-axis (b) y-axis

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x² between…

A:

Q: Find the area of the surface generated by revolving the given curve about the x- axis. y=6x, 0≤x≤ 3…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sin(pix/4),…

A: The area of the surface of the curve y=f(x),  a≤x≤b obtained by rotating the curve about the x-axis…

Q: find the exact area of the surface by rotating the curve about the x-axis  Y=x^3  0&lt;x&lt;2

A:

Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 2y + 3, 0…

A:

Q: Find the area of the surface generated by revolving the curve about the (a) x-axis and (b) y-axis.…

A: Explanation and solution is given below....

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V5 - x, 3 <…

A: Definition used -                             Area of the surface obtained by rotating the curve…

Q: Find the exact value of the surface area generated by revolving the given curve, about the x-axis. 1…

A:

Q: Find the area of the surface generated by revolving the curve y = 2Va, 0 <x < 3, about the x-axis.

A:

Q: Find the area of the surface generated when the given curve is revolved about the y-axis 1 y=(8x)…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 y = + /- 2x

A: Given: The equation of the curve y=x36+12x,where  12≤x≤1. Calculation: Compute the surface area as…

Q: Find the area of the surface generated by revolving the given curve about the X - AXIS. Y 8x, 0 < a…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + ex, 0<…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + ex,…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V6 - x, 4 <…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V6 - x,…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √7-x, 1 ≤x≤7

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x³, 0 < x <…

A:

Q: Find the area of the surface generated by revolving the given curve about the y- axis. x = /25 - y²,…

A:

Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 4y +3, 0≤…

A: Let us consider a curve g(y) on the interval [c,d]. The surface area of the surface of revolution…

Q: 6. Find the area of the surface generated by revolving the curve y = x² + 2 from x = 1 to x = 2…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the y- axis: y = 3 + 5x?,…

A: Consider the given function and interval. y=3+5x2, 3≤x≤8 If y=f(x) is function and the interval of y…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = V, 0,5 s…

A: First I have written the formula of are of surface of revolution about y axis on an interval, just…

Q: Find the area of the surface generated by revolving the curve about each given axis. x St, y 2t, 0st…

A: Given that        x = 5t , y = 2t  , 0 &lt;= t &lt;= 5  Here we have to find the area of the surface…

Q: Find the exact area of the surface obtained by rotatingthe curve about the x-axis. y =√(1+ ex)  ,…

A: Given: y=1+ex , 0≤x≤1 The area of the curve is obtained by rotating the curve f(x) about x-axis…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x, 0s x< 3

A: The objective is to find the surface area.

Q: Determine the surface area of revolution when the curve y = 7.2/x from x = 1 to x = 5 is rotated by…

A:

Q: Find the area of the surface generated by revolving the curve - 5x y = e-b", x > 0 around the -axis.

A:

Q: Find the area of the surface generated by revolving the given curve about the y- axis. x=2₁√√6-y,…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1+ ex,…

A:

Q: Find the area of the surface generated by revolving the curve - 5x y = e x > 0

A:

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 3t,    y =…

A: Area of the surface generated by revolving the curve x = f(t) about the x-axis is S = ʃ2πyds.Area of…

Q: The area of the surface obtained by rotating the curve y = 17 x +1, 0SXS 34 about the x-axis is

A: The solution are next step...

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V7 - x,…

A: To find The exact area of the surface obtained by rotating the curve about X-axis

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 8t, y - 6t…

A: Given that, x = 8t y = 6t + 1 0≤t≤1 We have to find the area of surface generated by revolving the…

Q: Find the area of the surface generated by revolving the curve y =,0sx<2, about the x-axis.

A:

Q: Find the area of the surface generated by revolving the curve about each given axis. X = 4t, y = 8t,…

A:

Q: Find the area of the surface generated by revolving the curve y=- 24 .Osxs/6. about the x-axis.

A: area = ∫06 ydx area = ∫06  x3dx/24 area = [x4/96]60 area = 6*6/96 - 0 area = 3/8

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 4t, y = 7t,…

A: x=4t y=7t

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y =

A: Given curve is  y=x36+12x Differentiate with respect to x. dydx=x22-12x2

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1+ e*,…

A:

Q: Find the area of the surface obtained by rotating the curve about the x-axis. Recall: S=2n |…

A: Find the surface area

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + 5x,…

A:

Q: Find the area of the surface generated by revolving the curve about each given axis. X = 9t, y = 9t,…

A: Solution

Q: Find the exact area of the surface generated by revolving the curve about the stated axis. y = Vx…

A: The formula for area of surface generated by the revolution of curve y=f(x) , a≤x≤b about x-axis.…

Q: Find the exact area of the surface obtained by rotating the curve about the x axis.  y=sinpiex…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the xx-axis.  y=sin(πx/8),…

A:

Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 8y + 3, 0…

A: Note: If x=fy≥0 and continuously differentiable on a,bThe area of the surface generated by revolving…

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = x, 0 < x <…

A: Given that y=x and 0&lt;=x&lt;=3 find the surface area generated by the revolving the given curve…

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 6t, y = 9t,…

A: Here,  we need to find the surface generated by revolving the curve x=6t, y=9t, 0≤t≤3, about each…