Solve the problem.Find the centroid of a hemispherical shell having outer radius 10 and inner radius 5 if the density is constant.
A. = 0,
= 0,
=
B. = 0,
= 0,
=
C. = 0,
= 0,
=
D. = 0,
= 0,
=
Answer: D
Mathematics
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Write the negation of the proposition.Everyone is asleep.
A. Not everyone is asleep. B. Nobody is awake. C. Everyone is awake. D. Nobody is asleep.
Mathematics
Find the unit tangent vector of the given curve.r(t) = i +
j - 5tk
A. T = i +
j -
k
B. T = i +
j -
k
C. T = i +
j -
k
D. T = i +
j -
k
Mathematics
Evaluate the improper integral.
A. 10 B. 4 C. -2 D. 5
Mathematics
Use the rules for exponents to rewrite the expression and then evaluate the new expression. (2-2)0
A. 1
B.
C. 0
D. -4
Mathematics