Find the indicated derivative for the given vector-valued function .Find 
r(t) for r(t) = 3t4i- 8t2j + 8tk.
A. 
r(t) = 36t2i - 16xj + 8k
B. 
r(t) = 12t2i - 16tj
C. 
r(t) = 12t2i - 16j + 8k
D. 
r(t) = 36t2i - 16j
Answer: D
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Find the derivative.r = 17 - ?8 cos ?
A. 
= 8?7 cos ? - ?8 sin ?
B. 
= 8?7 sin ?
C. 
= - 8?7 cos ? + ?8 sin ?
D. 
= 8?7 sin ? - ?8 cos ?
Sketch the surface z = f(x,y).f(x, y) = 3 - x2 + y
A. 
B. 
C. 
D. 
Solve the problem. Round your answer to the nearest cent.Brad invests $6000 in an account paying 10% compounded quarterly. How much is in the account after 3 months?
A. $6150.00 B. $6037.15 C. $6600.00 D. $6144.68
Solve the problem.The revenue in dollars from the sale of concert tickets at x dollars each is given by the function 
Find the difference quotient when x = 24 and h = 0.1. Interpret the result.
A. At 24 per ticket, revenue is decreasing at $605 per dollar change in ticket price. B. At 24 per ticket, revenue is increasing at $605 per dollar change in ticket price. C. At 24 per ticket, revenue is decreasing at $6050 per dollar change in ticket price. D. At 24 per ticket, revenue is increasing at $6050 per dollar change in ticket price.