4. Given that 1 (230)=1+2²² +² (x, y, z) = 1 + ==x² - Find the followings at (1,-1, 1): (a) The directional derivative in the direction v = i +2j-2k. (b) The direction and the value of minimum change of 6.

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A: To find the directional derivatives

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A:

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Q: 1) y%= (ans.: max.(1,0.5); min.(-1,-0.5)) 1+ x in (2 3-50,8))

A:

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A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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A:

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Q: Calculate the derivative indicated in the figure below

A:

Q: 2. What is the equation of the tangent line to the curve y = x? - 2x +1 at point (3,4)? а. у3 2x — 2…

A: The equation of line is y-y1=mx-x1, where m is the slope of the curve.

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A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Find the direction in which the directional derivative of f(x, y) = x? + sin(xy) at the point (1,0)…

A: