Find an equation of the tangent plane at P = ( 2, 3, to the given surface. 8x? + z?e"-* = 41 (Express numbers in exact form. Use symbolic notation and fractions where needed. Let f(x, y, z) and give the equation in terms of x, y, and z.) equation:

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A: distance formula: d = √[(x2-x1)2 + (y2-y1)2] where, (x1, y1) = coordinates of the first point…

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A: Given the Polar coordinates      r=14 and θ=π4 Find the Cartesian coordinate y.

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Q: Please include all steps Eliminate the parameter x=4cost +3 y=2sint+1

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Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…