Question 2 Let F(x, v. 2) = -2y7 + 2xj. Use Stokes' Theorem to find 17-d7, where C is a circle parallel to the yz-plane, of radius a > 0, centered at a point on the x-axis, and oriented counterclockwise as viewed from the postive x-axis.

Q: Write the parametric equation of the bilinear surface corresponding to four points P(0 0)= 0.25 0…

A: Given coordinates are, P0,0=0.25,0P1,0=0.75,0P0,1=0.75,0.9P1,1=0.25,0.8 So, the parametric equation…

Q: c) Verify Stokes's Theorem for F = (x²+y²)i-2xyj takes around the rectangle bounded by the lines x…

A: Stoke's law is given as ∫cF→.dr→=∫s∫∇×F.n→ds F=x2+y2i^-2xyj^ dr→=(dxi^+dyj^) So F.dr=x2+y2dx-2xydy…

Q: 2х-чу =-24 5x+2y=0

A: Explanation of the answer is as follows

Q: Determine the parametric equation for a line that is tangent (intersection) of the two fields below:…

A: We have to find out parametric equation for a line that is tangent (intersection)of the two fields…

Q: Find an equation of the povalbola in standovet form focus at F(-4,0) and divectrix ;X=-4

A:

Q: Find . F.dr when F(x,y) = (2x,3y²) and C is only the first quadrant part of a circle of radius 3…

A: Let C be a smooth curve and r→t=xti^+ytj^+ztk^ be the position vector of any point x,y,z on C.…

Q: Find an equation of the tangent plane to the surface z = 2y² – 3x² at the point (-3, -3, -9).

A:

Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: Find the parametric equations of the line tangent to the curve of intersection of the surfaces x² +…

A: The tangent to the intersection of the curves: f(x, y, z)=0, g(x, y, z)=0 is parallel to the vector:…

Q: Find the equation of the osculating plane of the curve = = (a sin u + b cos u, a cos u + b sin u, c…

A:

Q: Find the parametric equation of the line segment from A(1,2,3) to B(5.0, 1), where for t = 0 you are…

A:

Q: The vector function r(t) = (1+2 cost) i+3j+(5 – 2 sin t) k | traces out a circle in 3-space as t…

A:

Q: Find a parametric function for the intersection of r – 3y + 4z = 0 and a? + y² = 9.

A: