(a) Find a vector parametric equation for the ellipse that lies on the plane 2y = 5x + z = 2 and inside the cylinder x² + y² = 16. F(u, v) = for 0 ≤ u < 4 and 0 ≤ v ≤ 2. (b) dA = 7₁ x 7. = (c) dA = |dA|| = ||7₁ × 7.|| = (d) Set up and evaluate a double integral for the surface area of the ellipse. Surface area =

Q: Find three different pairs of parametric equations for the line segmentthat starts at (0, 0) and…

A: Direction ratio is = (6-0, 6-0)= (6,6) That is equivalent to (1,1) , (2,2) and (3,3)

Q: Calculate the distance from point A(1, 2, 1) to the plane of equation 3x-4y + 5z = 1.

A: To find distance of point to plane using the formulae: Given point is and plane equation is .

Q: Find the parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

A: The parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

Q: Consider the Point (-2,1,3) and the plane -3x2 +x2 +4x3=7. Find parametric equations of the line…

A: The direction vector of a line perpendicular to a plane is same as the normal vector of the…

Q: actuaZ D X=Ytmacking weigh Şk.(i-cx-3)³), ifɔ 147 f(x)= 0, otherwise (4) k=? SFxsdx=1) →1=…

A: Given, the PMF, fx=k1-x-32, 2≤x≤40, otherwise

Q: must use linear algebra to find the parametric equations of a line of intersection in R3 for x1 + x2…

A:

Q: Find the parametric equation of the intersection of the planes x + y = 1 and x + z = 2.

A: Equation of plane 1 - x+y = 1        Normal vector of plane 1 = n1 = 1,1,0…