Solve the problem.A triangle has a perimeter of 165 cm. The second side is 18 cm longer than the first. The third side is 15 cm shorter than the first. Find the length of each side.

A. 44 cm, 62 cm, 59 cm
B. 41 cm, 56 cm, 74 cm
C. 39 cm, 54 cm, 72 cm
D. 48 cm, 51 cm , 66 cm


Answer: C

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = x2 + y - ex+y

A. fxx(x, y) = 2 - ex+y; fyy(x, y) = - ex+y; fyx(x, y) = fxy(x, y) = -ex+y B. fxx(x, y) = 2 + ex+y; fyy(x, y) = ex+y; fyx(x, y) = fxy(x, y) = ex+y C. fxx(x, y) = 2 - y2ex+y; fyy(x, y) = -x2ex+y; fyx(x, y) = fxy(x, y) = - y2ex+y D. fxx(x, y) = 1 - ex+y; fyy(x, y) = - ex+y; fyx(x, y) = fxy(x, y) = -ex+y

Mathematics

Find the root. Round to three decimal places if necessary.

A. 417.5 B. 6.073 C. 6.393 D. 40.866

Mathematics

Perform the indicated operation.Let A = . Find 2A.

A.

B.

C.

D.

Mathematics

Consider the points plotted in the graph below.Give the coordinates for points G and H.

A. G: (0, -3), H: (-2, -2) B. G: (0, -3), H: (-2, 2) C. G: (-3, 0), H: (-2, 2) D. G: (-3, 0), H: (-2, -2)

Mathematics