Find the area of the surface generated by revolving the given curve about the y-axis from y = 0 to y = 4 y = R + 1(SFN) 96/145T 120/1457 4 /145T 3 12672/1457

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = V4 – x, –1…

A: y=4-x2,  -1≤x≤1 Differentiating with respect to x, we get dydx=124-x20-2x=-x4-x2

Q: 3. Set up an integral to find the surface area generated when the given curve x = where 0<t < 1 is…

A:

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = V16 – x²,…

A: The given curve is y=16-x2,   -1≤x≤1. This implies that, dydx=ddx16-x2dydx=1216-x2…

Q: Find the area of the surface generated by e + e -y revolving the curve x = 2 0sys In 6 about the…

A: To find the surface area generated by revolving the curve x=ey+e-y2,0≤y≤ln6 about the x-axis. We…

Q: nhuille Find the area of the rotaional L'C surface formed by rotating the part of the Curve given by…

A:

Q: The surface formed by rotating the curve y = x 2 1, about the x-axis is known as Gabriel's horn.…

A:

Q: Find the surface area generated by revolving the curve C : x(t) = 3t, (0 < t < 1) y(t) = 2t about…

A: Use the formula for the surface Area when a parametric curve rotated about y-axis.

Q: 1 Find the area of the surface obtained by rotating the curve y = In(1 – x²), 0 < x <. about the

A:

Q: Find the area of the surface generated by revolving the curve a. y = V1+ e* between x = 0 and x = 1…

A:

Q: Find the surface area of the region that comes from rotating the given curve about the x-axis: T X =…

A:

Q: 12. Find the surface area for the surface of revolution formed by revolving the curve y = v4 – x?…

A:

Q: 16 The area under the curve 4y? (x2 + 1)3 was rotated about a line located to the left 9 of y – axis…

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 7 y =…

A:

Q: Find the area of the surface generated by revolving the curve a. y = V1+ e* between x = 0 O and x =…

A:

Q: Find the area of the surface generated revolving the given curve about the y-axis. 1. X=y^3 , 0 is…

A:

Q: Consider the surface of revolution formed by revolving the curve y = 1/x, 1 < x < a about the…

A:

Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = sec about the…

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, n] for y = 6 sin(x).

A:

Q: The surface area of the surface generated by revolving y =x³ , 0<x<1 about the x- axis is Sz0.4296…

A:

Q: Find the area enclosed by the curve x = t2 - 4t, y = -Vt and the y-axis. A = S rdy or A= S. (TR-IL)…

A: x=t2-4t, y=-ty=0 →t=0y=-2 →t=40≤t≤4dydt=-12t

Q: The given curve is rotated about the y-axis. Set up, but do not evaluate, an integral for the area…

A:

Q: find the area of surface of revolution generated by revolving about the x-axis the arc y…

A:

Q: iii) Set up an integral for the area of the surface generated by rotating the curve about the…

A:

Q: 3. Find the length of the curve y = x – In x, 1<x < 4. 1. Find the area of the surface obtained by…

A: The solution is given as follows

Q: Find the surface area obtained by rotating the curve y, 0 < x < 4 about the y-axis y = 5x? (Note: as…

A: Given curve is y=5x2. Because the curve is rotated about the y‐axis, we will apply formulaas given…

Q: Find the area of the surface generated by revolving about the y-axis the arc C given by C = { (x,y)…

A:

Q: Find the area of the surface obtained by rotating the given curve about x-axis. x=cos (t),…

A: We have to find the area of the surface obtained by rotating the given curve about the x-axis. x=cos…

Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

Q: 2.) Find the exact area of the surface obtained by rotating the curve about the x-axis y= cos(÷x) 0…

A:

Q: Find the area of the surface generated by revolving about x-axis the part of the curve y = sin x,…

A:

Q: Find the area of the surface generated by e +e -y eY + e -y in the X= revolving the curve x= -In 3…

A:

Q: Find the area of the surface generated by revolving the curve x in the interval 2 Osys In6 about the…

A:

Q: Let S be the surface area generated by revolving the curve y = Vx, 2 < x < 12 about the x- axis.…

A: This formula is used

Q: 3) Find the area of the surface that results from rotating the curve Y = sin MX, 0 s X < 1 about the…

A:

Q: Find the area of the surface generated by revolving the given curve about the yy-axis.…

A: Given curve is, x=25-y, -1≤y≤0 Now, differentiating with respect to y we get,…

Q: Find the area of the region enclosed by the curve x=10cos(t)-5sin(2t) y=4sin(t) with 0<= t <=2pi

A:

Q: 8) Find the area of the surface generated by rotating about the x-axis the arc of the curve y x…

A:

Q: Find the area of the surface generated by revolving x=t^2      y=2t.     t∈0,4) around the x-axis

A:

Q: The given curve is rotated about the y-axis. Set up, but do not evaluate, an integral for the area…

A:

Q: The volume of the solid generated by the curve y = e², between z = 2 and z =7 about the I - azis is…

A: Given curve is y=e-x  x=2 and x=7 about the x axis find the volume

Q: Find the area of the surface generated by eY + e -Y revolving the curve x = in the interval 2 In 5…

A: solution:-given curve x=ey+e-y2 in the interval 0≤y≤ln5revolving about the y-axisarea of a surface…

Q: Express the area of the surface obtained by rotating the curve y =In sec(2x) between x = 0 and x =…

A:

Q: 3. Set up an integral to find the surface area generated when the given curve x = where 0 <t < 1 is…

A: x=t3,y=t2      o≤t≤1    Given

Q: 15 Find the area of the surface generated by revolving x = 4/4- y,0sys about the y-axis. x=4/4-y Set…

A: find the area of the surface  generated by revolvigx=44-y, 0≤y≤154about y-axis

Q: 4) The area of the surface generated by revolving x=y²-1, 1≤ y≤ 2 about x-axis is S=.

A:

Q: 2. Determine the area of the surface generated by revolving a given curve about a given axis. a.…

A: Formula to find the surface area by revolution helps to find the required surface area. Formula to…

Q: Find the area of the surface obtained by rotating the curve y = x² - In(x) about the y-axis for 3…

A:

Q: Find the area of the surface generated by revolving the curve x = 4 1 from 8y 3 < y< 5 about the…

A: When a function is of the form x=g(y) and you are revolving around the x-axis, the interval is c≤y≤d…

Q: 8. Find the area of the surface of the region generated by rotating the curve y = x³ from x=0 to x=1…

A:

Q: The area of the surface obtained by rotating the curve y = et +e asxsb, about the x-axis is 1/2 e2 +…

A: Find the surface area rotating the curve about x axis