Find the extreme values of the function and where they occur.y = x3 - 3x2 + 1
A. Local maximum at (0, 1), local minimum at (2, -3).
B. Local minimum at (2, -3).
C. Local maximum at (0, 1).
D. None
Answer: A
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FInd the tangential and normal components of the acceleration.r(t) = (t - 7)i + (ln(sec t) - 7)j + 9k, -?/2 < t < ?/2
A. a = (sec t tan t)T + (sec t)N B. a = (csc t)T + (sec t)N C. a = (sec2 t)T + (cos t)N D. a = (cos t)T + (cos t)N
Solve.Is it possible to find a Maclaurin expansion for f(x) = cot x? Explain.
A. Yes, the function has derivatives of all orders at x = 0. B. No, the function is not defined at x = 0.
Determine if the function is even, odd, or neither.f(x) = 2x3 - 4x2 + 3
A. Neither B. Odd C. Even
Find the indicated sum or difference, if it is defined.Compute the difference A - B if A = 
and B = 
.
A. 
B. 
C. 
D. 