Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y, z) = xy - ln(z), P0(1, 1, 1)

A. ( i -  j + k)
B. ( i +  j - k)
C. ( i +  j - k)
D. ( i +  j - k)


Answer: C

Mathematics

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Simplify.

A. not a real number B. 5 C. 4 D. 8

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Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Graph f using a graphing utility.(c) Find the x- and y-intercepts of the graph.(d) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(e) Use the information obtained in (a) - (d) to draw a complete graph of f by hand. Label all intercepts and turning points.(f) Find the domain of f. Use the graph to find the range of f.(g) Use the graph to determine where f is increasing and where f is decreasing.f(x) = x4 - 1.8x2 + 0.5184

What will be an ideal response?

Mathematics

Divide. ÷ (9q + 1)

A. q - 1
B. q + 1
C. q2 - 76q - 1
D. -4q2 - q - 1

Mathematics

Find the indicated intercept(s) of the graph of the function.y-intercept of f(x) = 

A.
B.
C. (0, 4)
D. none

Mathematics