Predict the general, or nth term, an, of the sequence.ln e4, ln e5, ln e6, ln e7, ln e8, . . .
A. ln en + 3, or n + 3
B. ln en+1, or n + 1
C. ln en - 3, or n - 3
D. ln en, or n
Answer: A
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The amount A, in grams, of one radioactive substance remaining after t years is given by 
.
The amount B, in grams, of a second radioactive substance remaining after t years is given by 
.
When will the amounts remaining of each be the same? Round your answer to two decimal places if necessary.
?
A. After 3.01 years
B. After 14.14 years
C. After 0.46 years
D. After 15.23 years
Provide an appropriate response.The dual of Minimize Z = x1 + 3x2 subject tox1 - 2x2 ?43x1 + x2 ?1x1, x2 ?0is:
A. Maximize W = 4y1 + y2 subject to y1 + 3y2 ? 1; - 2y1 + y2 ? 3; y1, y2 ? 0. B. Maximize W = 4y1 + y2 subject to y1 - 2y2 ? 1; 3y1 + y2 ? 3; y1, y2, ? 0. C. Maximize W = y1 + 3y2 subject to y1 + 3y2 ? 4; - 2y1 + y2 ? 1; y1, y2 ? 0. D. Maximize W = y1 + 3y2 subject to y1 - 2y2 ? 4; 3y1 + y2 ? 1; y1, y2 ? 0. E. Maximize W = 4y1 + y2 subject to y1 + 3y2 ? 1; - 2y1 + y2 ? 3; y1, y2 ? 0.
Suppose f and g are functions that are differentiable at x = 6 and that ?f?(5) = 1, ?f? '(5) = -1, ?g?(5) = -2, and g'?(5) = 5. Find the value of ?h? '(5).
?
What will be an ideal response?
Graph the function y = g(x), given the graph of y = f(x). g(x) = - 
f(x)
A. 
B. 
C. 
D. 