Set up and simplify the integral that gives the surface area of revolution generated by rotation of the smooth arc of y = x – x² , 0sxs1 about the x-axis Do not evaluate the integral.) 27 (x- x2)V4x² – 4x + 2 dx O 2n x V4x2 – 4x + 2 dx OS 2n x V4x2 – 4x + 1 dx O 27(x - x²)V4x² – 4x + 1 dx

Q: Find the surface area if y = (x3/6)+(1/2x) on .5<=x<=1 is rotated about the x-axis.

A: Given: y=x36+12x on 5≤x≤1

Q: 13. Find the area of the surface generated when the curve y = -, on [2,4] is rotated about the…

A:

Q: 7) Find the area under the parabola y = x² – 2x +2, above the x-axis and between x = 0 and x = 1.

A:

Q: The area of the surface obtained by rotating the curve y = 22 x + 1, 0 < x < 44 about the x-axis is

A: Consider the given curve. y=22x+1 in the interval 0≤x≤44 The problem requires to find the area of…

Q: 9. Find the characteristics of the equation hx = bd and determine the integral surface which passes…

A:

Q: Find the surface area for the object obtained by rotating y = 7x + 2 about the x-axis over the…

A: The object is obtained by rotating about the x-axis over the interval .We have to find the surface…

Q: b. d.x Vx4 – 2x2 + 1 3

A: Let's find.

Q: 3. Find the area of the cardioids region shared by ri 7(1- sin 0) and r2 = 7(1+sin 0). A 7(1 Sint) B…

A: The given curves are:  r1=71-sinθr2=71+sinθ To find the intersecting points,…

Q: Find the area of the surface obtained by rotating the curve y = √5x from x = 0 to = 4 about the…

A: