Let f(x, y)=/2x² +4y² + 18 – x. The domain of c for which the level curve f(x, y)=c is an ellipse is O (-∞, -2)U (2, 0) O (-∞, -5)U (5, 0) O (-, -4)U (4, ∞0) O (-x, -3)U(3, x) O (-x, -1)U(1, ∞)

Q: Find a plane containing the point (7,3,5) and the line x(t) - 3 + t | y(t) 8 +t z(t) - 3 + 5t

A:

Q: Let C be the positively oriented closed plane curve consisting of the line segment from (-3,0) to…

A:

Q: Find a plane containing the point (-5,-8,-7) and the line x (t) y(t) z(t) = = = −7+ 6t -3 - 2t - 2 +…

A: Given;

Q: Identify and sketch the graph of the following equations in R³ (a) x2 + 4y² + z² – 8x + 16y – 2z +…

A: we can add or subtract same amount from a equation to simplify equation. The logarithm function…

Q: 2. (§1.1) Sketch the following set of points in the x-y plane. {(x, y) = R²: (y - x²) (y + x²) < 0}.

A:

Q: Identify and sketch the domain of f(x, y) = Sketch the level curves of g(x, y) corresponding level…

A:

Q: Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

A:

Q: Consider the points + (xo, yo) (x1, y₁) (x2, 12) (X3, 13) (X4, Y4) = = (-3,-4), (-1, 1), (0, 1), X =…

A: x -3 -1 0 2 3 y -4 1 1 5 9

Q: 2. The general form of a cubic is p(x) = ao + a1x +a2x² + a3x³ %3D Suppose you are given the…

A: What we basically need to do in this question is interpolation which can be done by various methods,…

Q: Describe each of the following graphs in the xy-plane. Givejustification.(a) x = 0 (b) y = 0(c) x +…

A: a) The objective is to describe x=0 in the xy-plane. The graph of x=0 in the xy-plane is a vertical…

Q: 10. Find an equation of the plane that passes through the points (x, y, z) = (1, 2, −1), (x, y, z) =…

A:

Q: The line L(t) = (3+t, 12+5t, -12-5t) intersects the plane 5x - 5y = 15 at what point?

A:

Q: Find a plane containing the point (-3,-3,5) and the line x(t) y(t) z(t) = = 8 + 4t -4-6t -7-3t

A:

Q: 7. (a) Graph the function f(x) = VT- x². (b) Graph the function f(x, y) = /1– x² – y². (Hint: Let z…

A: Function:                                           f(x)=1-x2

Q: (a) Find two points on the line x = -1+3t, y=t + 2, z= 2t – 7. (b) ( Find The point at which the…

A: Equation are given in parametric form: Vary parametric value for different points.

Q: 1. Sketch the graph of the domain of the function f (x, y)= sq x / x−y​ 2. Compute the equation of…

A:

Q: The line L(t) = (4 – 3t, 3, 1 +t) intersects the plane 3x – 3y + 2z = -16 at the point when t =

A: To find the point of intersection of the line and the plane, substitute the values of x,y, z from…

Q: Determine the equation of the linear function, L(x), with a domain of {xx ER}, L(-7)= A(-7) and P(x)…

A:

Q: nt of intersectic -6 y + 8 = 3 O) カー

A:

Q: Plot the level curves for c = -2, -1, 0, 1, 2, for the function f(x, y) = 5x + 2y2 using geogebra

A: Given : f(x,y)=5x^5 +2y^2 To find: To plot the level curves for c=-2,-1,0,1,2 for the given function…

Q: Let a, ßeR ,such that 2(a -1)+ 3(a – 1)+ 6a=0 and 2(1-B)+ 3(1-B)-6B + 12=0 and a + B, also graph of…

A:

Q: Let A(0,-2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2 m(PB) (2) Convert the…

A:

Q: Find the domain of f and the intercepts of the graph of f.

A: