Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z?; P(2,5, 2); a =i+j+k NOTE: Enter the exact answer. Duf =

Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 1

A: In this question we have to determine which is f, f' and f''.

Q: Assume that y varies jointly with x and the square root of z. If  y=48 when x=4 and z=16, then find…

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Q: Find tan a. V[ ? (V5, -/7)

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Q: Assume that y varies jointly with x and the square root of z. f  y=30 when x=3 and z=25, then find…

A: Given y varies jointly with x & square revt at Z .If y = 30 when x = 3 & z = 25 .We have…

Q: take the derivative. бх —5 y = - x² +1

A: Consider the given function as y=6x-5x2+1

Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: find the derivative of (2³ + j)² O 23 +j O 223 + j O 625 + j6z² O 325 + j3z?

A: Derivative of (z3+j)2 is 2(z3+j)2-1(3z2+0) = 2(z3+j)×3z2 = 6z2(z3+j) = 6z5+j6z2

Q: əz If z = f (x, y), find and for the following equation z=-2xy

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Q: 2y = 18 Enter your answer

A: Make the coefficient of y as 1 so do the calculation accordingly.

Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 17 tan Р(-18, 18); а %3D…

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Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 2

A: Solution :

Q: Use a formula to express w as a function of t if  w =    4s + 9 and s = et − 1.  w =

A: We have given that,  w = 4s + 9 and  s = et − 1 Then,  We will find w in terms of t?

Q: Find csc 0. (-5, V11) [?]/[] r

A: