15) Consider curve C which is the intersection of the surfaces shown in the attached figure. The approximate value of € £ (400 (4x - y² +62)ds is:

Q: Sketch a contour map with at least four level curves for the following surfaces: a. z = 9x? + y? b.…

A:

Q: Show that the equation of a circle passing through the origin and having intercepts a and b on real…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: a. z = x? + 4y² b. z + 2y = x2 y + 3r - z2 = 1

A: (2) (a) The contour map for z=x2+4y2 is,

Q: 1. Find the points on the surface a² +9y² +92² = 4 which are closest to and farthest from the point…

A: The given surface is x2+9y2+9z2=4 and point (0,2,0). To find the point which is closest to and…

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: The given curve is -100x2+36y2+225z2=900. (a) To identify: The name of the given curve and its axis.…

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

A:

Q: 8) Consider the oriented curve C given by C=C₁U C2, where C₁: y = x³, and C₂: y = x², as shown in…

A:

Q: nat is

A:

Q: • Consider the surface given by the equation (r- 1)² + (y+3)2 - (z-2)² = 1. Which of the following…

A: We have to find y- intercept.

Q: Find an equation for a plane R at a distance 9 from a plane P with equation 2x + 2y - z = 3 .

A:

Q: Find the distance from the point Q= (2,2,2) to the line of intersection of the planes x+y+z=1 and…

A: Distance from the point Q(2,2,2) to the line of intersection of planes x + y + z = 1 and x + y = 2

Q: A surface is defined by the following equation: 9x2 + 16y2 + 9z2 = 25. Make a sketch of the surface…

A: Any point on the three dimensional coordinate system is represented using the ordered pair: x, y, z.…

Q: Find an equation for the line of intersection of the planes bx+z=0, by+ cz =b, where b,c are real…

A: the equation of the line of intersection pf the given planes ...

Q: Identify and draw the following surfaces. 3. (x – 2)2 + y? = 4 4. x2 + y2 + z = 16

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

Q: 1. Evaluate the surfaces in R³ that are represented by the following equations. i. y = 2 ii. z = 6

A:

Q: Identify and draw the following surfaces. 3. (x – 2)² + y² = 4 %3D

A: As it is a multiple type question , so I am solving just the 3rd one 3) Consider (x-2)2+y2 =…

Q: coordinates

A: