Determine whether the given function satisfies Laplace's equation.f(x, y) = e-3y sin -3x

A. Yes
B. No


Answer: A

Mathematics

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Solve the problem.The graph shows the hours studied and the exam grades obtained on a finite math exam for 8 students. (The two points on the line do not represent any of the eight students.) The line of best fit, the line graphed on the coordinate system, can be used to approximate the test grade the average student receives for the number of hours they study. Find the equation of the line of best fit. Then use the equation to estimate the number of hours studied by a student who received a grade of 78 . Round to two decimal places.

A. 4.71 hr B. 4.24 hr C. 2.23 hr D. 3.21 hr

Mathematics

Find the center and radius of the circle.5x2 + 5y2 + 20x - 30y - 60 = 0

A. center: (-3, 2), radius: 25 B. center: (2, -3), radius: 25 C. center: (-2, 3), radius: 5 D. center: (3, -2), radius: 5

Mathematics

Solve the triangle.

A. C = 75°, c ? 4.2, a ? 2.2 B. C = 15°, c ? 1.1, a ? 2.2 C. C = 15°, c ? 3.8, a ? 4.2 D. C = 75°, c ? 4.2, a ? 3.8

Mathematics

Consider the linear programming problem. Maximize M = 4x + 5y subject to(a) Introducing suitable slack variables, rewrite it as a linear system of equations and state the equivalent problem.(b) Set up the initial simplex tableau.(c) Determine the particular solution that results from setting all group-I variables equal to zero.

What will be an ideal response?

Mathematics