Find the quadratic approximation of f at x = 0.f(x) = esin 2x

A. Q(x) = 1 - 2x + 2x2
B. Q(x) = 2x + 2x2
C. Q(x) = 2x - 2x2
D. Q(x) = 1 + 2x + 2x2


Answer: D

Mathematics

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Perform the indicated division by synthetic division.(20x3 - 14x2 - 3x + 20) ÷ (5x - 1)

A. 4x2 - 2x - 1, R = 19 B. 4x2 - 2x - 1, R = 22 C. x2 - 1, R = -2 D. 4x2 - 2x - 1, R = 0

Mathematics

Write as the sum and/or difference of logarithms. Express powers as factors. log7

A. log720 - log7y - log7x
B.  log720 - 2 log7y - log7x
C. 3 log720 - 2 log7y - log73
D.  log720 - 2 log7y - 2 log7x

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Write the sentence as an equation. Let the variable x represent the number.The quotient of a number and 2 results in 6.

A. 2 - x = 6
B.  = 6
C.  = 6
D. 2x = 6

Mathematics

Solve the problem.A computer is purchased for $4600. Its value each year is about 79% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function V(t) = 4600(0.79)t. Find the value of the computer after 6 years. Round to the nearest cent.

A. $883.38 B. $1118.20 C. $697.87 D. $21,804.00

Mathematics