Find the solution to the quadratic equation, if they exist.

(R+ 3)²= 64


R= 5, R= -11

Mathematics

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Evaluate the integral by changing the order of integration in an appropriate way.

A.
B.
C.
D.

Mathematics

Find the simplest form of a second-order homogeneous linear differential equation that has the given solution.y = c1e3x cos 3x + c2e3x sin 3x

A. D2y + 6Dy - 18y = 0 B. D2y + 6Dy + 18y = 0 C. D2y - 6Dy - 18y = 0 D. D2y - 6Dy + 18y = 0

Mathematics

Find the coordinates of the vertex and the direction of opening of each parabola.y = -(x + 7)2 - 9

A. (7, 9) opens downward B. (-7, 9) opens upward C. (-7, -9) opens downward D. (7, -9) opens upward

Mathematics

Convert to trigonometric notation and perform the indicated operation.(1 + i)(2 - 2i)

A. 4 + 4i B. 4 + i C. 4 D. 4i

Mathematics