Consider the area of the part of the plane z=ax+by+c that projects onto some region D in the xy-plane.   If the area of the region D in the xy-plane is k, explain why the area of the part of the plane z=ax+by+c that projects onto D is ksqrt(1+a^2+b^2)

Q: Sketch the triangle with vertices O, P = (0,7, 3) and Q = (7,4,0) and compute its area using cross…

A:

Q: Consider the right triangle withvertices (0, 0), (0, b), and (a, 0), where a > 0 and b > 0.…

A: Given right angle triangle has vertices  (0, 0), (0, b), and (a, 0), where a > 0 and b > 0.…

Q: Sketch the surface 1≤z≤ √9-x² - y² 1≤z≤√9-x² - y² and_x² + y² ≤1

A: Given is the surface surface 1≤z≤9-x2-y2 and x2+y2≤1 The objective is to sketch this surface.…

Q: 2 Find the volume of the parallelepiped whose edges are represented by A=i-13j+ 4k, B = 31+2j-7k and…

A: Given A→=i-13j+4k,  B→=3i+2j-7k and C→=i-2j+2k

Q: 5) Consider the parallelogram with vertices (0,0), (4,0), (6,2) & (2, 2). We know the area of this…

A:

Q: Q1) Find plane area bounded by y = 2,y = 6 – x, and y = 8 - 3x using double %3D

A:

Q: Advanced Math Question

A:

Q: obtain the image of the circle |Z-1|= 1 int he z plane in the transformation w = z^2

A: Given  circle  is  Also, it  is  given that We  have  to  find  the  image  of the  circle    under…

Q: Find the area of ​​the plane x + y + z = 6 in cylinder X² + y² = 4

A: According to the given information, it is required to find the area of the plane in the cylinder.

Q: Sketch the surface 1≤z≤√√9-x²-y²_and_x² + y² ≤

A: Solution is below

Q: Q4\Find the surface area of the plane z = x2 + y² from z=4 to z=9? %3D

A:

Q: Q3) (-3,2) (3,2) a) Evaluate | (2x – y²) dA, where Ris Triangular region given in figure 1. (0,-2)…

A:

Q: Q3/ Find the area of the following surface z = x² + y lies in region x2 +y = 4.

A: Surface area is defined as a combined sum of all areas or parts and faces of the surface on a three…

Q: A cube of cheese from Italy with edge measure of 1 was cut by Mickey using a plane in a manner that…

A: Let us assume the the cordinates OA= OB= OC= 1

Q: Which surface below is an elliptic paraboloid? O x^2 + y^2/4 - z^2 = 1 O z = -sqrt(x^2 + y^2) z =…

A: