Solve the following surface integral (use definition): F = [32 6 6rz] with parabolic cylinder surface : S:y = a? with 0

Q: Graph the curve 8y2 = x2 (1 − x2 ). Use a computer algebra system to find the surface area of the…

A:

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

A: y= 21+ sqrt(441−x2) between the points ​(21​,21​) and sqrt(1763)/2,43/2​; about the​ y-axis

Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: 2. Sketch the cylinder y = x² +1.

A: complete graph provided below with python code Explanation:  code behind above :  import numpy as…

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: 6a) Let A be the parabolic arc defined by the equation y = 8x – x´ over the domain interval [0, 8].…

A: (a) Consider the given function. y=8x-x2 Now, draw the above function by using the calculator.

Q: Find the surface area of the cone frustum generated by revolv-ing the line segment y = (x/2) +…

A: Consider the given line segment,The surface are of the cone frustum generated by revolving the line…

Q: 6 of 9 > Find an equation of the tangent plane to the surface at the given point. 2x² + 2y² + 4z² =…

A:

Q: Evaluate  ∫C (3y + exsinx) dx + (8x - ln(y3+2)) dy, where C is the circle x2 + y2 = 9  with positive…

A:

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

A:

Q: Use the change in variables s = x + 4y, t = y to find the area of the ellipse x^2 + 8xy + 17y^2,…

A: We have to find the area of the ellipse  x2+8xy+17y2≤1. Use the change in variables s=x+4y and t=y…

Q: No. of integral points lying inside the parabola y² = 8x and circle x? + y? = 16 are %3D (A) 15 (B)…

A: To find  The number of integral points lying inside the parabola y^2=8x and the circle x^2+y^2=16.

Q: Problem 2. Let an be the sequence defined by a1 = 1, a2 = 8, and an = an-1 + 2an-2 for n 3. Prove by…

A:

Q: ) Find the derivetine of the fnchiog h(x) = I sinhex-7x 4

A: h(x)=74sinh(2x)-7x2Differentiate w.r.t…

Q: Find the area of the surface generated when the given curve is revolved about the given axis 1 = (e…

A: Given y=112e6x+e-6x  ,for -2≤x≤2  Area of surface of curve when revolved about x-axis…

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3