Solve.loga 100,000 = 5
A. {100,000}
B. {10}
C. {5}
D. {105}
Answer: B
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Find all the second order partial derivatives of the given function.f(x, y) = xye-y2
A. = ye-y2;
= 2xye-y2(2y2 - 6);
=
= e-y2(1 - 2y2)
B. = 0;
= 2xye-y2(2y2 - 3);
=
= e-y2(1 - 2y2)
C. = 0 ;
= 2xye-y2(2y2 - 3);
=
= e-y2(1 - y2)
D. = ye-y2;
= 2xye-y2(y2 - 1);
=
= e-y2(1 - y2)
Factor out the largest possible common factor.21y3 - 6y2 + 12y
A. 3y(7y3 - 2y2 + 4y) B. 3(7y3 - 2y2 + 4y) C. y(21y2 - 6y + 12) D. 3y(7y2 - 2y + 4)
Factor completely using the ac method. If prime, so state.4x2 - 4xy - 3y2
A. (4x + y)(x - 3y) B. (2x - y)(2x + 3y) C. prime D. (2x + y)(2x - 3y)
Solve the problem.An element decays at the rate of S(t) = se-0.046t, where s is the initial amount in grams and t is the time in years since this initial amount was present. If you have a 62-gram piece of this element, how many grams will you have 2 years from now? Round your answer to the nearest tenth of a gram.
A. 0.9 g B. 68.0 g C. 29.6 g D. 56.6 g