Simplify the radical expression. Assume that all variables represent nonnegative real numbers.(5x + 10
)2
A. 25x2 + 100x + 4900
B. 25x2 + 4900
C. 25x2 + 100x + 700
D. 25x2 + 700
Answer: C
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Find the first four nonzero terms in the Maclaurin series for the function.f(x) = sin x cos x
A. 1 + x - x2 -
x3 + . . .
B. x + x3 -
x5 +
x7 + . . .
C. x - x3 +
x5 -
x7+ . . .
D. x - x3 +
x5 -
x7 + . . .
Provide an appropriate response.If (a, b) is an ordered pair on the graph of f, what are the coordinates of the ordered pair on the graph of f-1?
A. (-b, a) B. (-a, -b) C. (b, a) D. (a, b)
If f(x,y) = x² + 9y², use the gradient vector ?f(10, 2) to find the tangent line to the level curve f(x, y) = 136 at the point (10, 2). Select the correct answer.
Translate the situation into mathematical language. You need not actually solve the problem.A commercial jet has been instructed to climb from its present altitude of 8000 feet to a cruising altitude of 30,000 feet. If the plane ascends at a rate of 2000 ft/min, how long will it take to reach cruising altitude?
A. Let t represent the number of minutes to reach cruising altitude;
B. Let t represent the number of minutes to reach cruising altitude;
C. Let t represent the number of minutes to reach cruising altitude;
D. Let t represent the number of minutes to reach cruising altitude;