Compute the gradient of the function at the given point.

A. ?f = i +
j -
k
B. ?f = - i +
j -
k
C. ?f = - i +
j -
k
D. ?f = i +
j -
k
Answer: D
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The number y of hits a new search-engine website receives each month can be modeled by where t represents the number of months the website has been operating. The website received 10,000 hits in its third month. Find the value of k, and use this value to predict the number of hits the website will receive after 22 months.
a.
about 184,894,691,979 hits
b.
about 2,921,047 hits
c.
about 22,832,533,585 hits
d.
about 57,970,933 hits
Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round to four decimal places.log5
A. -0.6826 B. 0.2218 C. -1.1761 D. -1.4650
Factor the expression.3x2y + 6xy2
A. 3xy(x + 2y) B. xy(3x + 6y) C. 3xy(x + y) D. 3(x2y + 2xy2)
Fill in the blank with the correct symbol <, >, or =, to make a true statement.2.9 3.6
A. > B. = C. <