The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 
for r(t) = (9 sin 2t)i - (8 cos 2t)j + (9 csc 2t)k
A. a
= -36i - 36k
B. a
= -36i + 36k
C. a
= 36i + 36k
D. a
= 32j + 36k
Answer: B
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Solve the problem.A team of engineers is testing an experimental high-voltage fuel cell with a potential application as an emergency back-up power supply in cell phone transmission towers. Unfortunately, the voltage of the prototype cell drops with time according to the equation 
where V is in volts and t is the time of operation in hours. The cell provides useful power as long as the voltage remains above 5.1 volts. Use Newton's method to find the useful working time of the cell to the nearest tenth of an hour (that is, solve V(t) = 5.1 volts). Use t = 7 hours as your initial guess and show all your work.
What will be an ideal response?
Determine between which two consecutive whole numbers each square root lies.
A. 11 and 12 B. 14 and 15 C. 20 and 21 D. 15 and 16
Evaluate the polynomial.-6x3 - 2x2 + 40, when x = 2
A. -12 B. -26 C. -16 D. -28
Provide an appropriate response.Evaluate dy/dt for the function at the point. x3 + y3 = 9; dx/dt = -3, x = 1, y = 2
A. - 
B. 
C. 
D. - 