The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 0 for r(t) = t2i + (4t3 - 3)j + 
k
A. a(0) = 2i - 
k
B. a(0) = 2i + 
k
C. a(0) = 2i - 
k
D. a(0) = 2i - 
k
Answer: D
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Plot the given point in the rectangular coordinate system.P(4, 1)
A. 
B. 
C. 
D. 
?Let 
.Find the average rate of change of y with respect to x in the interval from 
to 
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to 
, from 
to 
, and the (instantaneous) rate of change of y at 
.
?
A. ?
B. ?
C. ?
D. ?
Write as a fraction in lowest terms.0.0005
A. 
B. 
C. 
D. 
Solve the problem.The height of an egg after t seconds when thrown straight up with an initial speed of 128 feet per second from a height of 224 feet is given by the polynomial 
Write this polynomial in factored form.
A. -4(4t2 - 32t - 56) B. -16(t2 - 8t - 14) C. 2(-8t2 + 64t + 112) D. 16(-t2 + 8t + 14)