Solve the problem.The concentration C of a certain drug in a patient's bloodstream is given by  .a) Find the horizontal asymptote of C(t).b) Using a graphing utility, determine the time at which the concentration is highest.

Fill in the blank(s) with the appropriate word(s).


a) y = 0
b) t = 7

Mathematics

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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 cos t, y = 3 sin t, ? ? t ? 2?

A. x2 + y2 = 9

Counterclockwise from (3, 0) to (3, 0), one rotation
B. x2 + y2 = 9

Clockwise from (3, 0) to (-3, 0)
C. x2 + y2 = 1

Clockwise from (1, 0) to (1, 0), one rotation
D. x2 + y2 = 9

Counterclockwise from (-3, 0) to (3, 0)

Mathematics

Use l'Hopital's Rule to evaluate the limit.

A. -5 B. 0 C. 5 D. 1

Mathematics

Solve the problem.A function f(x) is of the form f(x) = a(x - h)2 + k. What can you say about the values of a, h, and k if the graph of f(x) lies entirely below the x-axis?

A. a, h, and k must all be negative B. a and k must be negative C. h and k must be negative D. a and h must be negative

Mathematics

Describe the transformations that produce the graph of g from the graph of f.f(x) =  ; g(x) =  - 12

A. Stretch horizontally by a factor of . Shift it 12 units down.
B. Shift it 11 units to the left and 12 units up.
C. Stretch vertically by a factor of 12 and shift it 11 units to the right.
D. Shift it 11 units to the left and 12 units down.

Mathematics