Simplify the expression.
?
What will be an ideal response?
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 
for r(t) = (9t - 3t3)i + 3tan(3t)j + e5tk
A. a
= 
?i + 108j + 25e5/12?k
B. a
= - 
?i - 108j + 25k
C. a
= - 
?i + 108j + 25e5/12?k
D. a
= - 
?i - 108j + 25e5/12?k
Solve the problem.In order to buy a $23,000 car, you put down $3500 and take out a loan on the balance. To pay off the loan, you pay $400.83 per month for the following 72 months. How much more will you end up paying for the car than the original price of $23,000? Round to the nearest dollar.
A. $9360.00 B. $32,360.00 C. $5860.00 D. $28,860.00
Find the derivative of the function.
?
?
A. 
B. 
C. ?
D. ?
Solve the problem.A product of two oscillations with different frequencies such as f(t) = sin(10t) sin(t)is important in acoustics. The result is an oscillation with "oscillating amplitude." src="https://sciemce.com/media/4/ppg__10624191808__f1q17g4.jpg" alt="" style="vertical-align: -4.0px;" /> last two functions constitute an "envelope" for the function g(t). For certain values of t, the two cosine functions in g(t) cancel each other out and near-silence occurs; between these values, the two functions combine in varying degrees. The phenomenon is known (and heard) as "beats." For what values of t do the functions cancel each other?
What will be an ideal response?
the product f(t) of the two oscillations as a sum of two cosines and call it g(t).
a graphing utility, graph the function g(t) on the interval 0 ? t ? 2?.
the same system as your graph, graph y = sin t and y = -sin t.