51. y = e-* cos x, [- , ] 3]

Q: Let f = e^ (− x ^3/ 3) +x−y^ 2 . Find the local minima, maxima and saddle points.

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Q: Use an appropriate local linear approximation to estimate the value (2.03)^3

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Q: Find all absolute maxima and minima values for the function y=x^2+(54/x), on the intervial [1,108]

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Q: Find the linearization of the function f(x) = x^(1/5) at a = 32 and use it to approximate…

A: Answer

Q: Ramon Nuri Matiz Ortiz works at Conservas de Cambados analyzing canned sardines for his bosses. In…

A: From the given information, DHA Temp Sardine Mass Biscay 1.2 82.5 54 1 1.9 77.5 60 1 1.1 85…

Q: An orchard has an average yield of 36 bushels of apples/tree if the density is 22 trees/acre. For…

A: Let x be the additional number of trees to be planted to maximize the total yield.

Q: Sketch the graph of y=(x^2 +x +3)/x^2, locate all maximum and minimum values, intervals of increase…

A: we need to graph the given function and also need to find out the critical points, etc

Q: Are critical numbers from the first derivative used in the test for concavity?

A: We have to tell that  critical numbers from the first derivative used in the test for concavity or…

Q: f(t) = 2t³ + 3t2 - 36t

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Q: please differentiate the function

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Q: Does Newton’s Method fail when the initial guess is a relative maximum of f ? Explain.

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Q: Explain why the Second Derivative Test is often mistaken for the POI Test. In what way(s) are they…

A: We know the following. POI Test: An inflection point is a point on the graph at which the second…

Q: f(x,y) = xln(x^2+y^2)

A: Consider the given function, fx,y=x·lnx2+y2 Obtain the partial derivative w. r. t. 'x' as ,…