Decide whether the ordered pair is a solution of the given system.2x + y = 13x + 2y = 4 ; (-2, -5)
A. No
B. Yes
Answer: A
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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = (cos x)x
A. ln x(cos x)x - 1 B. (cos x)x (ln cos x - x tan x) C. (cos x)x (ln cos x + x cot x) D. ln cos x - x tan x
Solve the problem.Write an iterated triple integral in the order for the volume of the rectangular solid in the first octant bounded by the planes
,
, and
.
A.
B.
C.
D.
Provide an appropriate response.The formula used to find the volume of the frustum of a square pyramid is where b is the length of the base, a is the length of the top, and h is the height. Calculate the volume if a = 283 feet , b = 680 feet , and h = 222 feet.
A. 163,154,238 cubic feet B. 54,384,746 cubic feet C. 54,394,746 cubic feet D. 54,385,746 cubic feet
Add the polynomials. Express your answer in standard form.(4x2 + 5x + 20) + (-6x2 - 8x - 9)
A. -2x2 + 3x + 11 B. -2x2 + 11x + 29 C. -2x2 - 3x + 29 D. -2x2 - 3x + 11