Solve the problem.The rate of growth of profit (in millions) from an invention is approximated by 
where x represents time in years. The total profit in year 1 that the invention is in operation is $45,000. Find the total profit function P(x).
A. P(x) = -.5e-x2+ 229,000
B. P(x) = -.5e-x2+ 0.229
C. P(x) = - 
e-x2- 229,000
D. P(x) = - 
e-x2- 0.229
Answer: B
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Find T, N, and B for the given space curve.r(t) = 
i + 
j + 4tk
A. T = 
(sin 3t)i - 
(cos 3t)j ; N = (-sin 3t)i - (cos 3t)j ; B = 
(cos 3t)i - 
(sin 3t)j - 
k
B. T = 
(cos 3t)i - 
(sin 3t)j ; N = (-sin 3t)i - (cos 3t)j ; B = 
(cos 3t)i - 
(sin 3t)j - 
k
C. T = 
(cos 3t)i - 
(sin 3t)j + 
k ; N = (-sin 3t)i - (cos 3t)j ; B = - 
k
D. T = 
(cos 3t)i - 
(sin 3t)j + 
k ; N = (-sin 3t)i - (cos 3t)j ; B = 
(cos 3t)i - 
(sin 3t)j - 
k
Determine whether the improper integral is convergent or divergent, and calculate its value if it is convergent.
Subtract.67 - (-26)
A. 41 B. -41 C. -93 D. 93
Find the indicated function value if it exists. If it does not exist, state this.f(x) = 
; f(7)
A. 
B. 
C. 
D. 2