Find the derivative of the given function.y = tan-1 
A.
B.
C.
D.
Answer: B
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Solve the problem.A 1,000 gallon tank is filled with pure water. A salt solution with a concentration of 11 g/gal flows into the tank at a rate of 8 gal/min. The thoroughly mixed solution is drained from the tank at a rate of 8 gal/min.(a) Write an initial value problem for the mass of the salt.(b) Solve the initial value problem.
A. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + e-0.008 B. (a) m'(t) = -0.008m + 11,000, m(0) = 1,000 (b) m = 11,000e-0.008t + 88 C. (a) m'(t) = 0.008m - 88, m(0) = 11 (b) m = -88e0.008t + 88 D. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + 11,000
Solve the problem.Which of the following [A), B), C), or D)] is the most appropriate type of graph for representing a continuous random variable?
A. a pictogram B. a histogram C. a bar graph D. a pie chart E. none of these
Complete the square for the binomial. Then factor the resulting perfect square trinomial.x2 - x
A. x2 - x + = (x - 1)2
B. x2 - x + =
2
C. x2 - x + 1 = (x - 2)2
D. x2 - x + =
2
Decide whether the pair of lines is parallel, perpendicular, or neither.6x + 2y = 827x + 9y = 39
A. parallel B. perpendicular C. neither