State the end behavior of the graph of f.f(x) = 0.2x5 - 4x2 + 9
A. Down on left side, up on right side
B. Down on both sides
C. Up on left side, down on right side
D. Up on both sides
Answer: A
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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 0 for r(t) = ln(t3 - 5t2 + 4)i - 
j - 8cos(t)k
A. v(0) = - 
j
B. v(0) = 
i - 
j
C. v(0) = 
j
D. v(0) = 
i - 
j + 8k
Provide an appropriate response.A student wishes to take the integral over all real numbers of f(x) = 
, if x < 0 
, if x > 0 and claims this is zero because -? + ? equals zero. What is wrong with this thinking?
What will be an ideal response?
Use Gauss's Divergence Theorem to calculate 
.F(x, y, z) = 4x3i + 4y3j + 4z3k; S: the thick sphere 25 ? x2 + y2 + z2 ? 36
A. 
?
B. 1092?
C. 
?
D. 223,248?
Perform the operation.
?
?
Fill in the blank(s) with the appropriate word(s).