Choose the gradient of the function f defined by f(x, y, z)= In[1 + (17xy + xz +9yz)²]. 2(17xy+xz+9yz) 1+(17xy+xz+9yz)²' 2(17y+z) 1+(17xy+xz+9yz)²¹ None of the others 2(17xy+xz+9yz) 1+(17xy+xz+9yz)² 2(17x+9z) 1+(17xy+xz+9yz)2²' 2(17xy+xz+9yz) 1+(17xy+xz+9yz)² O <17y + z, 17x +9z, x +9y>. O< 17y + z, 17x +9z, x +9y> .. 2(x+9y) 1+(17xy+xz+9yz)² 2(17xy+xz+9yz) 1+(17xy+xz+9yz)² 1 1+(17xy+xz+9yz)² >

Q: Show that the directiona f(x, y, z) = z²x + y ² at ( X (1/15" + ) ; 255. them

A: fx,y,z=z2x+y3 P1,1,2v→=15i+25j We know directional derivative Dv→fP=∇fP.v→v→

Q: If f:X → Y is a bijective function,-3 then (f^(-1)•f)(x)=(fof^(-1) )(x), XEA

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Q: Is g = {(x, y) ∈ [−5, 5] × R : x^2 + y^2 = 25} a function from [−5, 5] to R.

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Q: Calculate Vf when f 3x z-y7+ 4x'y+ 2x - 3y-5 at the point (1, 1, 0).

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Q: What is the gradient of the function f(x) = 5 sin(5x) A sin(5x) - sin(5x) E B 25 cos(5x) F -cos(5x)…

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Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

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Q: Let f(x, y) = 3x² + 4y? – axy. (a) Find the values of a such that the graph of f increases when…

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Q: at the point (In 12,2) Find the gradient for the function f(a, y) = y'xe # Find exact values. No…

A: The given function whose gradient is to be calculated at a given point is:

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER f(x) =e5 "…

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Q: Find a bijective function f : R^+ → R^+ different from the identity function and has the property f…

A: That's easy. Have a great day!!!

Q: At the point (1, −1), the function (x, y) has a derivative of 5 in the direction toward (3, 1) and a…

A: Consider the given information.

Q: Find the derivative. 1) f(x)= V7,7x A) 7.7)4/5 B) 7.7)-1/56 ,7) D) 2) y = x/10x-8 15x-8 A) 15x B)…

A: 1) Obtain the derivative of f as shown below: f'x=ddxx7+7x5       =15x7+7x-45ddxx7+7x…

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER 1. f(0) =…

A: The linear dependency of functions can be evaluated using the value of the Wronskian of those…

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A: Let f(x, y)=x3+ay2, x2y3, 2x+by,  gu, v, w=3u2+bv2+w3, uvw. We need to find the derivative of fgu,…

Q: Given the 3 functions. F(x,y) = 2x+y. G(x,y) = x^2 + y, and H(x,y) = (x^3 + y^3) / (x^2 + y^2)…

A: Given: Fx,y=2x+y, Gx,y=x2+y, Hx,y=x3+y3x2+y2To classify each of the above given function as linear,…