Find the gradient field F of the function f.f(x, y, z) = ln (x6 + y7 + z7)

A. F = i + j + k
B. F = i + j + k
C. F = i + j + k
D. F =  ln ( y7 + z7)i +  ln (x6 + z7)j +  ln ( x6 + y7)k


Answer: A

Mathematics

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Solve.Find the equilibrium point for the given supply and demand functions. Here y represents price and x represents quantity. y = 456 - 3x (demand) y = 3x - 300 (supply)

A. 453, $303 B. 126, $78 C. 78, $126 D. -300, $456

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By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether the given statement is true or false.0.9 > 0. and 17 ? 8 + 9

A. True B. False

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Factor the trinomial completely. If the polynomial cannot be factored, write "prime."a3b2 + 7a2b + 10a

A. a3(b + 2)(b + 5) B. a(a2b2 + 7ab + 10) C. a(ab - 2)(ab - 5) D. a(ab + 2)(ab + 5)

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Provide the proper response.If f(x) ? 0 on the interval [a,b], then representsi) the area to the right of the y-axis between y = a and y = b.ii) the area above the x-axis between x = a and x = b.iii) the area below the x-axis between x = a and x = b.

A. Only ii is correct. B. Only i is correct. C. Both ii and iii could be correct. D. None of the above

Mathematics