Find the partial derivative.Let z = f(x,y) = 9x2 - 20xy + 7y3. Find .

A. 18x - 20y + 21y2
B. 18x - 20y 
C. -20x + 21y2
D. 18x2 - 20x 


Answer: B

Mathematics

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Find the area of the parallelogram.P1 (0, 0, 0), P2 (2, 4, 1), P3 (-3, 2, 1)

A.
B.
C.
D. 15

Mathematics

A line contains the given points. (a) Find the slope of the line that is parallel to the line containing the given points. (b) Find the slope of the line that is perpendicular to the line containing the given points.(3, 3) and (-4, -4)

A. (a) - ; (b) 
B. (a) -1; (b) 1
C. (a) 1; (b) -1
D. (a) 0; (b) 0

Mathematics

Provide an appropriate response.Identify which of the following properties apply to the graph of   I. The domain is all real numbers except integer multiples of ?.  II. The range is (-?, -1] ? [1, ?).  III. The equations of the vertical asymptotes are , where n is an odd integer.  IV. The x-intercepts are of the form  where n is an integer.

A. III and IV B. II and IV C. I and III D. I only

Mathematics

Determine whether the relation represents a function. If it is a function, state the domain and range.{(-2, 2), (-1, -1), (0, -2), (1, -1), (3, 7)}

A. function domain: {2, -1, -2, 7} range: {-2, -1, 0, 1, 3} B. function domain: {-2, -1, 0, 1, 3} range: {2, -1, -2, 7} C. not a function

Mathematics