Find the center (h, k) and radius r of the circle with the given equation. x2 + y2 - 8x + 10y + 41 = 81
A. (h, k) = (-4, 5); r = 81
B. (h, k) = (5, -4); r = 81
C. (h, k) = (-5, 4); r = 9
D. (h, k) = (4, -5); r = 9
Answer: D
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at the point 
, find the unit vector for which f is increasing most rapidly.
A. 
i + 
j
B. 
i + 
j
C. 
i + 
j
D. 
i + 
j
Find the derivative.s = t7cos t - 5t sin t - 5cos t
A. t7 sin t - 7t6 cos t + 5t cos t B. - 7t6 sin t - 5 cos t + 5 sin t C. - t7 sin t + 7t6 cos t - 5t cos t - 10 sin t D. - t7 sin t + 7t6 cos t - 5t cos t
Find the probability.A bag contains 10 marbles of which 9 are red. A marble is selected at random and replaced. A second marble is then selected at random. What is the probability that both marbles are red?
A. 
B. 
C. 
D. 
Find the domain and the range of the relation.
A. domain: x ? 4; range: all real numbers B. domain: all real numbers; range: y ? 4 C. domain: all real numbers; range: all real numbers D. domain: all real numbers; range: y ? 4