Use the limit definition of the partial derivative to compute the indicated partial derivative of the function at the specified point.Find  at the point (10, -5, 10): f(x, y, z) = xyz - 6y2 - 10z

What will be an ideal response?


 = 
 = -60 = -60

Mathematics

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Factor completely. State that the polynomial is prime if it cannot be factored.36x2 + 12x + 1

A. (6x + 1)(6x - 1) B. (6x - 1)2 C. Prime D. (6x + 1)2

Mathematics

Solve the problem.Write an expression for the area of the shaded region and express it in factored form.

A. 6(x + y)2 B. x2 + 12xy + 36y2 C. (x + 6y)2 D. x2 + 6xy + 36y2

Mathematics

Write the first four terms of the geometric sequence with a = 12 and a third term of 108. 

A. 12, 36, 108, 324 B. 13, 41, 109, 324 C. 12, 37, 109, 323 D. 7, 10, 13, 16

Mathematics

Use the product rule to find the derivative. g(x) = (x-5 + 3)(x-3 + 5)

A. g'(x) = -8x-7 - 25x-6 - 9x-4 B. g'(x) = -8x-9 - 25x-4 - 9x-4 C. g'(x) = -8x-9 - 25x-6 - 9x-2 D. g'(x) = -8x-9 - 25x-6 - 9x-4

Mathematics