Solve the problem.A certain capacitor is measured to have a voltage of 82 V across it. At this instant a current as a function of time given by i = 0.03
is sent through the circuit. After 1 second, the voltage is measured to be 92 V. What is the capacitance?
A. 2.00 × 10-2 F
B. 2.00 × 10-5 F
C. 2.00 × 10-3 F
D. 6.00 × 10-4 F
Answer: C
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Solve the problem.Marcus is planting a section of garden with tomatoes and cucumbers. The available area of the section is 110 square feet. He wants the area planted with tomatoes to be more than 
of the area planted with cucumbers. Write a system of inequalities to describe the situation. Let 
to be planted in tomatoes and 
to be planted in cucumbers.
A. x + y ? 110 x > 40y x ? 0 y ? 0 B. x + y = 110 x ? 0.40y x ? 0 y ? 0 C. x + y ? 110 x < 0.40y x ? 0 y ? 0 D. x + y ? 110 x > 0.40y x ? 0 y ? 0
Find the absolute maxima and minima of the function on the given domain.
on the closed triangular region bounded by the lines 
and 
A. Absolute maximum: 136 at 
absolute minimum: 90 at 
B. Absolute maximum: 90 at 
absolute minimum: 40 at 
C. Absolute maximum: 136 at 
absolute minimum: 0 at 
D. Absolute maximum: 90 at 
absolute minimum: 0 at 
Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = 
x2 - 4x - 
A. Increasing on (4, ?) , decreasing on (-?, 4)
B. Increasing on (-2, ?) , decreasing on (-?, -2)
C. Increasing on 
; decreasing on 
D. Increasing on 
; decreasing on 
Simplify.
A. 5040 B. 7 C. 0 D. 1