2. Find the surface area generated by revolving the circle x = cost, y = 1 + sint, 0sts2n over x - axis.

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 surface area generated by revolving the portion of the curve y=x^2+1 between x=1 and x=2…

A: Given that, Curve, y=x2+1   We have to find the Surface Area Generated by revolving the portion of…

Q: Find the area of the surface obtained by rotating the curve y=1+4x^2 from x=0 to x=7 about the…

A:

Q: Find the area of the surface generated by revolving the semicircle y = √1 − x about the x-axis over…

A: Given that, y=1-x. dydx=121-x-12·-1=-121-x 1+dydx2=1+-121-x2=1+141-x=1+14-4x=4-4x+14-4x=5-4x4-4x

Q: Find the surface area of the curve: y =-In x;1sx<2 when the curve is rotated about the y-axis.

A:

Q: Find the area of the surface of revolution generated by revolving the curve y = 5/ 0Sa<4, about the…

A: Given that:  y=5x,                        0≤x≤4

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. =글02+ 2)32, 4…

A:

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

A:

Q: 35. Find the area of the surface generated by revolving the para- metric curve x = 1, y = 21² (0 ≤1…

A: Given parametric curve is , x=t, y=2t2 ( 0≤t≤1 ) So, the required area of the surface generated by…

Q: B- Find the area of the surface generated by revolving the curve y = √√2-x² about x-axis

A: Introduction:   An object's surface area is the total area that all of its surfaces occupy. The…

Q: Use the integral table and a calculator to find to two decimal places the area of the surface…

A: Consider the given equation of the curve y = x2,  -1 ≤ x ≤ 1.The surface area of the surface…

Q: Find the area of the surface obtained by rotating the given curve about the indicated line, y=x,…

A:

Q: Find the surface area of revolution about the x- axis of y = 3 sin(5x) over the interval Preview

A: Given curve is y=3in(5x), firstly, we will find dy/dx

Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the…

A: Let's find.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt 1+3x ,…

A:

Q: 2. Find the area of surface that is generated by revolving the portion of the curve x = V16 – y , 0…

A: Given, x= √(16-y) Therefore, f(y)= √(16-y) Differentiating the above equation with respect to y we…

Q: Find the area of the surface generated by revolving the curve y = cos(r), 0<aS5 about the r- axis.

A: The solution is given below in the next step:

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

A: Given: y=sqrt(1+ex), 0&lt;=x&lt;=5.

Q: Find the area of the surface generated by revolving y = Vx +1 from r = 1 to x = 5

A: The objective is to find the area of the surface generated by revolving y=x+1 from x=1 to x=5.

Q: What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(7-x),…

A:

Q: y = } + sxs1 <x<1 2

A:

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 obtained by rotating the curve y = 1+3x² from x = 0 to x = 6 about the…

A:

Q: Find the Area of the Surface obtained by rotating the curve about the x-axis y = cosh x, 0≤x≤1

A:

Q: Solve the area of the surface of the revolution generated by revolving the arc of the curve, x= y³…

A: A detailed solution is given below.

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

A:

Q: Determine the exact area of the surface obtained by rotating the horizontal line y = 1 about the…

A: We have to determine the exact area of the surface obtained by rotating the horizontal line y = 1…

Q: Find the area of the surface obtained by rotating the curve y=√3x from x=0 to x=7 about the x-axis.

A:

Q: Find the area of the surface generated by revolving x = 6t and y = 4ť (0 < t < 1) X

A: answer is in next step

Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis.…

A:

Q: Find the area of the surface generated by revolving the curve y=x3/3 from x=0 to x=1 about the…

A: To find the area of surface generated by y=x33 and x=0,x=1 about x-axis A=∫012π·y·dS, dS=1+y'2·dx,…

Q: 4. Find the area of the surface generated by revolving the curve y = v9 – x², - 2 < x < 2, about the…

A:

Q: Find the area of the surface obtained by rotating the curve y = 2x 223 from x = 0 to x 2 about the…

A: HERE THE LIMITS OF INTEGRATION IS 0 to 2.

Q: y = N|XW --- - 6x 1 <x<1

A:

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

A: Given curve is y=1+ex and we have dydx=ex21+ex Since the Area of the surface obtained by rotating…

Q: Find the area of the surface generated by revolving the curve y = /8x – x² on the interval sa <…

A:

Q: 7 Find the area of the surface generated by revolving x = 2/4-y, 0sys about the y-axis.

A:

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

A:

Q: 7. Find the surface area of the cone frustum generated by revolving the line segment x 1 y ==+ 1s…

A:

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 generated by revolving the curve about the incated axis over the…

A:

Q: Find the surface area of revolution about the x-axis of y = 5 sin(4x) c

A:

Q: Find the exact area of the surface generated by revolving the curve y = sinx, over the interval (0 <…

A:

Q: D Find the area of the surface generated by revolving the region bounded by, 1 1 <x < 5 4 8x2 about…

A: In the question we have to find area of the given function.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x, 0< x< 5

A: Surface area of given curve after rotation about x axis.

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 curve y = 3/x, 1 < x <4 about the x axis.

A: