Determine algebraically whether the function is even, odd, or neither.f(x) = -3x2 - 9
A. even
B. odd
C. neither
Answer: A
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Solve the differential equation subject to the given condition. Note that y(a) denotes the value of y at t = a. = - 0.005y, y(-3) = 14
A. y = -0.005e14(t + 3) B. y = 14e-0.005(t - 3) C. y = -0.00514(t + 3) D. y = 14e-0.005(t + 3)
Find the general solution of the differential equation. Use C, C1, C2, . . . to denote arbitrary constants. If used, do not simplify hyperbolic functions.y'(t) = 12t5 - 12t2 + 4 - 12t-3
A. y = 2t6 - 4t3 - 4t - 6t-2 + C B. y = 2t6 - 4t3 + 4t + 6t-2 + C C. y = 2t6 - 4t3 + 4 + 6t-2 + C D. y = 2t6 - 4t3 + 4t - 6t-2 + C
Calculate the circulation of the field F around the closed curve C.F = xyi + 8j , curve C is r(t) = 2 cos ti + 2 sin tj, 0 ? t ? 2?
A. 0
B.
C. 16
D.
Solve.Find the total length of guy wire needed to secure both sides of a 25-foot TV antenna to a flat roof. There is a 30° angle between the mast and the guy wires. Round your answer to the nearest hundredth.
Fill in the blank(s) with the appropriate word(s).