Example Let f(r,y, z) = ryz sin rz. Find Vfo at the point Po = (1, –2, 7) and compute the directional derivative of f at Po in the direction v = -2i + 3j – 5k. %3D

I'm stuck on this one. I need help please & thank you!!

EX: Find the F.T. of the triangular pulse: g(t) = AA (+) Sols Apply differentiation property of F-T g(t) = 2A S(t+1)_4A S(t) + 2A S(t-I) The F. I for the both sides gives. (jw)² G (w) = 2A (NE_2 +2²) (e j들 (JW)³&(W) = 4A (2 ² + 2² (e 2 G(W) = -4A whe - 8A w²t -₁) 8A ( cos 뜰 -1) = 82 (1-005) 2 sin wt 4 At sin wt 2 Wt 4 2 3/4 N 2A T ZA 0 0 8(1)-A(+) =9c How did he get the value inside the circle Hes -9C2A ہم تم at ot

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The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be describedby the function T (x, y, z) = x2y + y2z degrees F◦. A fly is in position (1, 2, 1) and takesoff in a straight line to the corner (4, 0, 4). Use directional derivatives to calculate the changein temperature the fly experiences as she takes off. Give your answer with 2 decimal digitscorrect.

Let v = (3,4, 12) . Find the directional derivative of f(r, y, z) = x – y? +32³ in the direction of v.

How would I go about doing this? thank you very much for your help!

Can someone help me with this please?