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  3. 4 we wish to use differential calculus to find the...

Question: 4 we wish to use differential calculus to find the...

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4. We wish to use differential calculus to find the point on the line y -2r-1- 0 that is closest to the point (r. y) (1.0). (a) Write the equation of the line as an equation for y in terms of r (b) In terms of X, write the distance formula, d(X),representing the distance from the point (r.y) (1,0) to any point (r.y) (X.Y) on the line (c) Define the function f(x) d (d) Find the first derivative of f with respect to X and then identify the Cartesian coordinates r.y) of any critical points for f(x) (e) Apply the second derivative test to identify the nature of each critical point found in part (d). (0) Make a conelusion about which point on the line y-2-1-0 is closest to the point (r.y)(1.0) and what the corresponding distance is.
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