Perform the indicated operations and simplify.
-
+ 
A.
B.
C.
D.
Answer: A
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Solve the system of equations using the inverse of the coefficient matrix.2x + 8y + 6z = 204x + 2y - 2z = -23x - y + z = 11
A. x = -1, y = 2, z = 1 B. x = 2, y = 1, z = 6 C. No solution D. x = 2, y = -1, z = 4
Use implicit differentiation to find dy/dx and d2y/dx2.xy - x + y = 2
A. =
;
=
B. = -
;
=
C. =
;
=
D. = -
;
=
Provide an appropriate response. Find the standard deviation from the mean for the following set of test grades in a mathematics class: 76, 83, 94, 76, 53, 83, 74, 76, 97, 83, 65, 77, 76, 83.
A. 5.44 B. 76 C. 10.89 D. 78.29
Solve the problem.From a 10-inch by 10-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x.
A. V(x) = 4x3 - 40x2 B. V(x) = 2x3 - 30x2 + 10x C. V(x) = 2x3 - 30x2 D. V(x) = 4x3 - 40x2 + 100x