Find a point c satisfying the conclusion of the MVT for the function y(x) = 4x/3 on the interval [0, 125].

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Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: Find a function f (x, y) that has the line y = 3x - 4 as a level curve.

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

Q: Determine x[4] for the given Difference Equation 2x[k + 2]- x[k + 1]+ x[k]= k^2 x[0] = 1 x[1] = 3

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Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

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Q: The level curves of the function f (x, y) = /2x² + y² – 1 are

A: Explanation of the answer is as follows

Q: iven function

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: Find an equation for the line tangent to the graph of 2x f(x) %3D x + 4 at the point (2,…

A: The standard form of the tangent helps to find the required equation. The standard form of the…

Q: At which point is g(t) discontinuous?  g(t) = t^2+2, if t ≠ 1 -2, if t = 1

A: gt=t2+2,  if t≠1-2    ,  if t=1 The given function is continuous for all t≠1, because it is a…

Q: Find the point on f(x) 1 4 = )` √ that has a slope of

A: As we know the slope of the tangent line to the given curve is equal to the derivative of the given…

Q: find the critics (local max, lo cal min) Of the function f(xcy)= -x5+ Dy3+27x-24y+3

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Q: function of xx if

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Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

Q: Show that the function f(x)=√x+1 is differentiable in 2 = 2 but not differentiable in x = −1.

A: Given data:- The given function is, fx=x+1