Solve the problem.Show that the value of the integral does not depend on the path taken from A to B.+ 3y dy + 2xz dz

What will be an ideal response?


It passes the component test for exactness so the path taken does not matter.

Mathematics

You might also like to view...

Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = y2(1 - 2x), y(-1) = -1, dx = 0.5

A. y1 = 0.4, y2 = 0.63, y3 = 0.7472 B. y1 = 0.7, y2 = 0.99, y3 = 1.2656 C. y1 = 0.5, y2 = 0.75, y3 = 1.03125 D. y1 = 0.7, y2 = 0.99, y3 = 1.9136

Mathematics

Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x). Round to four decimal places.n = 9, x = 7, p = 0.3

A. 0.0039 B. 0.0042 C. 0.0050 D. 0.0037

Mathematics

Find the center and radius of the circle.(x + 1)2 + (y - 9)2 = 81

A. Center: (-1, 9); radius: 9 B. Center: (9, -1); radius: 9 C. Center: (-1, 9); radius: 81 D. Center: (9, -1); radius: 81

Mathematics

Determine if the type of relation is linear, nonlinear, or none.

A. linear B. none C. nonlinear

Mathematics