Find the flux of the vector field F across the surface S in the indicated direction.F = 3x2j - z5k; S is the portion of the parabolic cylinder y = 10x2 for which 0 ? z ? 4 and -1 ? x ? 1; direction is outward (away from the y-z plane)
A. 8
B. - 8
C. -24
D. 24
Answer: A
Mathematics
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Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.About the y-axis
A. 12? B. 20? C. 8? D. 16?
Mathematics
Provide an appropriate response.100x2 - 16 cannot be factored because there is no x term. Is this statement true?
A. No, it is not true. B. Yes, it is true.
Mathematics
Provide an appropriate response.Use the 1960s peak annual growth rate of 4.1% and population of 2 million to predict the current growth rate with a logistic model. Assume a current country population of 8 million. Assume the carrying capacity is 24 million.
A. 2.98% B. 4.47% C. 4.10% D. 7.45%
Mathematics
Write the quotients with positive exponents.
A. -
B. -
C. -
D. -
Mathematics