Decide whether the set of ordered pairs is a function.{(-2, -3), (3, 8), (6, -7), (9, -2), (10, 2)}
A. Function
B. Not a function
Answer: A
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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 4 for r(t) = (4t2 + 4t + 4)i - 3t3j + (8 - t2)k
A. v(4) = 36i + 144j + 8k B. v(4) = 20i - 48j - 4k C. v(4) = 36i - 144j - 8k D. v(4) = 28i - 144j - 8k
Solve the problem.A 2,000-L tank is initially filled with a copper sulfate solution with a concentration of 50 g/L. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 8 L/min. The thoroughly mixed solution is drained from the tank at a rate of 8 L/min.(a) Write an initial value problem for the mass of the copper sulfate.(b) Solve the initial value problem.
A. (a) m'(t) = 0.004m + 160, m(0) = 50 (b) m = -39,950e0.004t + 320,000 B. (a) m'(t) = -0.004m + 20, m(0) = 50 (b) m = -39,950e-0.004t + 40,000 C. (a) m'(t) = -250m + 160, m(0) = 100,000 (b) m = 60,000e-0.004t + 320,000 D. (a) m'(t) = -0.004m + 160, m(0) = 100,000 (b) m = 60,000e-0.004t + 40,000
Give an appropriate answer.Given the function f(x, y) and the positive number ? as in the formal definition of a limit, find a positive number ? as in the definition that insures 
< ?.f(x,y) = x + y ; ? = 0.06
What will be an ideal response?
Use a truth table to determine whether the two statements are equivalent.~p ? ~q and ~(p ? q)
A. Yes B. No