a)Pose, without evaluating, a triple integral to calculate the volume of the solid in the figure. b. Evaluate the above integral to find the volume [=] m3 . c. Consider the density of the solid, in mass per unit volume ρ(x,y,z) = 10 [=] kg/m3 . With her, calculate the mass of the solid [=] kg. d. Argue what procedures would be necessary to pose the previous integrals in coordinates cylindrical and spherical (It is not strictly necessary to raise them). Comment if this would be a procedure convenient for volume and mass calculation purposes, or it would be more cumbersome.

Q: The area between = 1 and y + x2 = 8 is rotated 360° about the x-axis. Find the volume produced. %3D

A:

Q: 3. Using the disk/washer method, write the volume of the solid obtained by rotating the region…

A: As your question content multiple subpart, I only serve the first 3 sub part. Please repost your…

Q: 3]. , Let V = ar²h, where V the volume of a right circular cone of radiusr and height h. Show that…

A:

Q: 2. If the portion of y 2 between x = 0 and x = 4 is rotated about the x-axis, what would be the…

A: Given that the region is bounded by the curve  between The surface area of the revolution about…

Q: The area enclosed by the ellipse (x²/9) + (y²/4) = 1 is revolved about the line x = 3. What is the…

A: We first sketch the region using a graphing calculator

Q: Set up triple integrals for the volume of the sphere p=5 in a. spherical, b. cylindrical, and c.…

A: Given: ρ=5 We have to set up triple integrals for a) spherical, b) cylindrical, and c) rectangular…

Q: Find the volume (in units3) of the solid created after a hole of radius  a = 1  is bored down the…

A: Given: the radius of the cone= 9 units height of the cone=9 units the radius of the hole(cylinder)=1…

Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

A:

Q: Find volume if area enclosed is rotated about y= -2.

A: To find the volume if the area enclosed by the below curves is rotated about y = -2.

Q: Given the area enclosed by the following equations, find the following: a. area, A b. first moment…

A: Note: Guidlines permitted to answered only 3 subparts.

Q: Find the mass of a straight circular rod of length a and radius b whose density varies as the square…

A:

Q: A full water tank in the shape of an inverted right circular cone is 8 m across the top and 4 m…

A: Write the given values using a suitable variable. Here h signifies cone height, r signifies cone…

Q: Determine the volume V and total surface area A of the solid generated by revolving the area shown…

A: The area of the cross section is computed as follows, The cross section contains half circle and…