Find the derivative of the function.s = 
A. 
= t6 - 
- 
B. 
= 7t6 + 
+ 
C. 
= 14t11 + 10t2 + 14t
D. 
= 7t6 - 
- 
Answer: D
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 3 for r(t) = (5t - 3t4)i + (3 - t)j + (3t2 - 10t)k
A. a(3) = -324i + 6k B. a(3) = -324i - j + 6k C. a(3) = -81i + 6k D. a(3) = 324i + 6k
Find the indicated term for the arithmetic sequence with the first term a1 and the common difference d. Find a17 when a1 = 
, d = 
A. 
B. 
C. 
D. 
Find the rate, or speed, as a ratio of distance to time. Round to the nearest hundredth when necessary.390.40 m, 3.05 hr
A. 131.05 m/hr B. 131.05 hr/m C. 128 hr/m D. 128 m/hr
Write the expression in expanded form.log5
3
A. 6 log5 x - 6 log5 4 - 3 log5 x - 6 log5 5 B. 3 log5(x - 4) + log5(x + 4) - 2 log5(x + 5) C. 3 log5(x - 4) + 3 log5(x + 4) - 6 log5(x + 5) D. 6 log5(x - 4) - 6 log5(x + 5)