find the interverse of the function on the given domain. (Enter the domain using interval notation.) a) f(x)= (x-4)^2, [4, infinity) f^-1(x)=           , on domain=  b) f(x)=5x^2+8, (negative infinity,0]  f^-1(x)=          , on domain=

Q: Find the local maximum of f(x) = -sin2x – x defined on 2'2

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Q: What is the critical point of this function?

A: Critical points are that points where derivative is zero

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Q: ) The tangent line to y = f(x) at (-5, 2) passes through the point (-7, -5). Compute the following.…

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Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x³ + 15x² + 24x – 3

A: We Know that The second derivative may be used to determine local extrema of a function under…

Q: Describe the procedure for finding critical points of a function in two independent variables

A: Based on the theorem on location of extrema, our strategy is to Find fxx,y and fyx,y, if the exist,…

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Q: Find local maximum or local minimum of f(x)= -sin 2x -x defined on 22

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 7 – x, - [-4, 4] minimum…

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Q: Use finite approximations to estimate the under the graph of the function f(x) = 4 – x² between x =…

A: Here given that a function and find lower sum with four rectangles of equal width. Here i attached…

Q: (4-х, XS0 10) Determine if the function y(X) = 3x, is differentiable at x =0. x>0

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Q: Explain how to find the critical numbers of a function.

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Q: Find the critical points of the function by using algebraic partial derivatives test. Rx, у) - -х2 -…

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Q: The limit of the function as x approaches 1 from the left is ... (0/1 Point) 6- 4- 2 -10 -5 5 10 -2-…

A: Given-  To Find- The value of the limit of the function as x approches 1 from the left hand limit.

Q: The function has only one critical point at x = VIn(a). Use the Second Derivative test to identify…

A: Solve g'(x)=0 to obtain the critical points. Then evaluate g'' at those critical points. If it is…

Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

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Q: Find the derivative of the function by the limit process. f(x) = 6/x^2

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Q: Find the absolute extrema of the function on the closed interval.

A: Given,  The function is  y=3-t-3 Interval is [-1,5] The given function is a modulus function which…

Q: Use second derivative test, If f(x): 3 - 25x + 9 then f(x) has a local maximum at the point = 6 -5…

A: The given function is f(x)=x33-25x+9 Differentiate with respect to x,

Q: Find two positive numbers whose product is a such that their sum is minimum.

A: Let the two numbers are x and y So, xy=a y=a/x   Their sum= S= x+y We have to minimize S

Q: Use the second derivative test todetermine whether f(x)--+ 18z has a localmaximum or localminimum at…

A: The second derivative may be used to determine local extrema of a function under certain conditions.…

Q: Use Intermediate Value Theorem to show that the equation

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Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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Q: Find local maximum or local minimum of f(x) = - sin 2x -x defined on 2'2

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Q: 2 Find the derivative of f(x) =x² – 6 from limit definition. - Show all steps of working. f(x) :…

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Q: Consider Mean Value theorem for derivative for function f(x) 4(1-2x) in interval [0,1]. TCOS(TX) -

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Q: Use Second Derivative Test to find the location of all local extrema for f(x)=2x³+21x²+36x-1

A: Local extrema.

Q: Use second derivative test, If f(x) = - 4x + 10 then f(x) has a local maximum at the point 3 %3D O r…

A: here we need to find the point at which the function has a local maxima. the solution is following.

Q: What is the relationship between functions whose limits can be obtained by direct substitution and…

A: We need to define the relation between a limit and continuous function.

Q: 9. Is the function defined by gon3 – 3 if 2. continuous at r= 2? differentiable at x = 2?

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Q: Compute f'(3) using the limit definition of derivative if f

A: Given: f(x)=6x2f'(3)

Q: 2. Find the derivative of f(x) = -4x2 + 3x + 2 from first principles (i.e. the limit definition of a…

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Q: Suppose (-8, 6) is a critical point of a function f with continuous second derivatives. If fra (-8,…

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Q: Find thu constant a such that the function 15 Continuous on thi entire real line. Usinx gex)= a-7x…

A: Here we use the concept of limit

Q: Provide an example of a function for which it can be shown to have a local maximum at a point using…

A: Firstly, we state both the First Derivative Test and the Second Derivative Test.First Derivative…

Q: nd the derivative by the limit process (Gener x) = Vx2 - 4

A: In this question, the concept of the derivative is applied. Derivative The derivative is used to…

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A: At critical points the first derivative of the function will be zero , Second derivative test At…

Q: Find local maximum or local minimum of f (x)=sin 2x-x defined on 2 2

A: The given function is fx=sin 2x-x. Obtain the critical points as follows. Find f'x as…

Q: As an application of partial derivative of multi-variable functions, provide one page about Lagrange…

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Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11…

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Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x3+21x²+ 36x-1

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Q: Find the point on the line y = – 4x + 2 closest to the point (8, 9). - The function giving the…

A: Given, equation of line : y = -4x +2 And  The point : (8, 9) {outside the line}

Q: A box with an open top is to be constructed from a rectangular piece ofcardboard with dimensions 12…

A: The length of the cardboard box is (20 - x - x) = (20 - 2x) in. The width of the box is (12 - x - x)…

Q: 2. Is the function given by F(x) = x². 5x + 6 continuous over the interval (-5, 5)? Why or why not?

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Q: 1. Use the first derivative test to find the location of all local extrema for 3 f(x) = -x³ +x+ 18x…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: The coordinates of the critical point according to the criterion of the first derivative of the…

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Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

A: y=2x-sin2x The domain of given function is -∞, ∞. The range of sin2x is -1, 1.

Q: Verify Mean Value Theorem for the function 3x² – 4x + 5 in [-1,1] 1-tanx

A: Use mean value theorem

Q: generate a continuous and differentiable function that is decreasing at -6, has a local minimum at…

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