for the Surface Area below ... what is the * ?radius of revolution The area of the surface obtained by rotating the curve 2y + x² = 1, %3D 0

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: Find the surface area of revolution about the y-axis of y = 3 – 3x over the interval 0 < x <1

A: Given

Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

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: Q10 Find the area of the surface generated by revolving the region bounded by, y = 1< x<5 8x about…

A:

Q: Find the volume created when rotating the area contained by the x – axis and the given parametric…

A: Solution:-

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

A: Use formula of area about x axis

Q: Calculate the area of the surface generated when the curve, y = Vx is revolved on the interval [1<…

A: Consider the equation

Q: Find the area of the surface obtained by rotating the curve about the y-axis. x=y^3, 0 less than or…

A: Consider the given curve and draw it,

Q: Find the surface area of revolution about the x-axis of R.

A: Given curve y=2x, 2.3≤x≤4.2 We have to find the surface area of revolution.

Q: Sketch the region enclosed by the curves and find its area. 1 x = 0, y = 1, y = e x = - NOTE: Enter…

A: The given curves are: x=1y, x=0, y=1, y=e. The curve x=1y can also be written as y=1x.

Q: Find the area of the surface generated by revolving the curve x = Vy, 0<y <4, about the y-axis.

A: We will use standard method.

Q: A 1.5-mm layer of paint is applied to one side of the following surfaces. Find the approximate…

A: Let y=fx. Then fx=8x-x2.

Q: The volume of the rotating body formed by rotating the curve given by the x = 3cost y = 3sint, 0…

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 5 9…

A: Use formula of area of surface generated about y axis

Q: Sketch the region enclosed by the curves and find its area. 1 ¤ = 0, y = 1, y= e³ x = - NOTE: Enter…

A:

Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

A: Given that, the function is y=secx and the interval is 0,π3. Note that, the formula for the surface…

Q: Find the area of the surface obtained by rotatin the curve y = Va about the y - axis for 64 < x <…

A:

Q: Find the surface area of revolution about the y-axis of y VOur ancwor in torme of round to docimal…

A:

Q: Find the area of the surface generated by revolving the curve about the indicated axis. 36) y=V4x -…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the area of the surface generated by revolving these curves (show your working out) a)…

A: Determine the area of the surface generated by revolving these curves (show your working out)

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

A: the given curve is  take derivative

Q: Find the volume of the curve r = 2+ 3sinθ for 0 ≤ θ ≤ π rotated about a. x - axis b. y - axis

A: 1st we will derive formula for volume of rotation for polar curve about x and y axis  Using relation…

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x =…

A: Follow the procedure given below.

Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

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 surface area of revolution about the y-axis of y = 2x + 3 over the Interval 1 < 54 Submit…

A:

Q: Sketch the region enclosed by the curves and find its area. 1 x = 0, y = 1, y = e4 * = - NOTE: Enter…

A: The solution of the problem is given in the next step.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: When we rotate a thin vertical strip as shown in figure, about the line y=-1. We get washer with…

Q: 2. Find the area of the region enclosed by the curves (i) (ii) y = sinx, y = cosx and the y-axis. y?…

A:

Q: The area under the curve 4y2 = (x? + 1)3 was rotated about a line located to the left of y - axis by…

A: The area under the curve 4y2=169x2+13 is rotated about a line located to the left of y-axis by three…

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

A: Given: y=x, 0≤x≤2, curve about the x-axis

Q: Find the area enclosed by the ellipse x = acos(t) y = bsin(t) with 0 <= t <= 2pi

A:

Q: Find the area of the surface obtained by rotating the curve about the y-axis. y= x², 0sxs1 Set up…

A:

Q: x = 0, y= 1, y = e4 %3D x =-,

A:

Q: Find the area of the surface obtained by rotating the curve. y=x+, 1<x< 2 rotated about the x-axis…

A:

Q: Find the area of the surface generated by revolving the curve y = 3sqrt(x)  between x = 0 and x = 4…

A: Given curve, y=3x x = 0 and x = 4

Q: Find the surface area of revolution about the x-axis of y = 3 sin(2x) over the interval 0 < - %3D…

A:

Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 V1- NOTE: Enter the exact…

A:

Q: find the surface area by rotating the curve about the y-axis; y=x^3 from x=0 to x=2

A:

Q: The surface area of the surface generated by revolving y=x³ , 0<x<1 about the x- axis is S×3.56312…

A: Option 2 none

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 surface area of revolution about the y-axis of y = 12 – 3x? over the interval 0 < x < 2.

A:

Q: The region R in the first quadrant is bounded by the coordinate axes, the curve y = e x = 4. and the…

A: Given: y=e-5x, x=4

Q: Find the area of the surface obtained by rotating the curve y = about y-axis for 1 ≤ y ≤ 3. Area:

A:

Q: on the same axes, the curves y = 6- e and y= 5e coordinates of the points of intersection. Calculate…

A: Consider the given given function. y=6-ex and y=5e-x Now, draw the both graphs.

Q: Sketch the region enclosed by the curves and find its area. 3 x = - I = 0, y = 1, y= e2 NOTE: Enter…

A:

Q: (b) Find the volume of the solid generated by revolving the region enclosed by the curve y = 6x – x…

A: