Which is the correct conclusion about the function h(x) ={V4- x2 if x - 3 if h has a removable discontinuity at x= -2 Bh has a removable discontinuity at x= 2 h has an essential discontinuity at z = 2 h has an essential discontinuity at x=-2

Q: A function f(t)= 5x + 8x^-1 has one local minimum and one local maximum what is the function has a…

A: Given query is to find the local maximum and the minimum for the function f(x).

Q: f(x) = 2x² - e²

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Q: (2x+1 x² +2 x> h) Xsh Q3) If the function f(x) %3D having limit at x h. Find the value of h.

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Q: 1. Given that x +1 2x2-1 g(x) Show that the g(x) function is continuous at a = 4.

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Q: 3. Given f(x) = x³ + x² – x + 1, on the interval bsolute maximum and minimum values, and indicate…

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Q: The absolute maximum of f(x) = 3 x3 -2x On [-1,8] is y= OA 0. OB 5 OD A-

A: For Maximum value of f we need to get the respective value of x by differentiating the function and…

Q: 1. Consider finding the root of f(x) =x´ – 5 use secant method, ɛ = 0, and start with the a interval…

A: given , f(x) =x2 - 5  we have to find roots of f(x) in interval by using secant method

Q: The function f has a continuous second derivative, and it satisfes f(2) = 5, f'(2) = 0 and f"(2) =…

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Q: 2. Suppose that f(x) is a function continuous for every value of x whose first derivative is f'(x) =…

A: Given: f(x) is a function continuous for every value of x whose first derivative is f'x=21-x1+x2 and…

Q: 4 Given that f(2) is analytic at z = 0 and that f G) =, n = 1,2, 3..,find f(2). VE

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Q: 22--15 if r#3 Find the value of the constant k that 5. f(x) = makes the function f(x) continuous.…

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Q: The function f has a continuous second derivative, and it satisfies f(-6) = -1, f'(-6) = 0 and…

A: Maxima minima problem....

Q: Give an example that: the function f has a local maximum at x = 1/2, but it is not differen- tiable…

A: Consider the function:

Q: 2 The function defined by f(x)= x-3x for all real numbers x has a relative maximum at x = %3D

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Q: Suppose that f ‘(x) is negative for x 1. Does f have a local minimum or maximum value at x = 1?

A: The answer is 'YES' Let see how it is YES in next step.

Q: Use the golden section method to determine with an accuracy of 0.25 the minimum of the function f(x)…

A: Let us use the golden section method to determine with an accuracy of 0.25 the minimum of the…

Q: Соpy of The global minimum of f(x) = x³ – 4x over the interval -2< x<3 occurs at what value of x? O…

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Q: The critical points of the function f(x) 36z2 - 2x occur at 2- 0, r +4.00 0, z +2.40 %3D I0, z -…

A: We have to find the critical points of the function f(x)=36x2-2x4.

Q: Consider the function f(x) = z over the interval (-2, 2). Does the extreme value theorem guarantee…

A:

Q: The absolute maximum of f(x) =x² – 4x on [0,3] is y= OA. OB. 4- o 3- OC. OD. 0.

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Q: (5) Use the first derivative test to classify the critical numbers of the function s(r) = 2¹-4r³+17.…

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Q: 1 5. By using the cubic approximation of f(x) = --1 around a = 0 in question 4, estimate the error…

A:

Q: Find the absolute maximum ť binimum Velves cf flx)=2x²-36x²t 120x-8 on the letrval [C,127

A: In this question we have to find the absolute maximum and minimum value of the the function.

Q: Find the local extrama of f(x)=x²-8x+12 on a closed interval [-2,5] O a. minimum value at x =4 is -4…

A: Topic- application of derivatives

Q: Q3) Find the minimum of the Brown's badly scaled function using Powell's method. f(x) = (x₁ - 106)²…

A: We will use the basic knowledge of partial derivatives and differential calculus to answer this…

Q: 4. Find the maximum of the function f(x) = 100-(10 – x1)? – (5 – x2)? by Simplex Method. Take…

A: Given function is fx=100-10-x12-5-x22 Let the coordinates be x1,x2 And given initial coordinates are…

Q: Find and classify all critical points of the function f(x, y) = x+2y-In(x¹3³)

A: Given :f(x,y)=x+2y4-lnx4y8

Q: f(x)D has a absolute minimum on [1,3] of 1/319 1/x

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Q: 2. Suppose that f (a, b) is an absolute maximum of the function f(x, y). Must f (a, b) also be a…

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Q: If f has a local minimum at x = 0 and a local maximum at x = 2, what can you say about f'(0) and…

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Q: 6. Determine f such that f"(x) = 12x – 1 and 1 is both a critical number and a y- intercept of f.

A: A differential equation is an equation in x,y and derivatives of y. A linear differential equation…

Q: The absolute minimum of f(x) =x² – 4x On [0,3] is y= %3D 540 .BO -4 .CO -3

A: We use first derivative test to find absolute minimum.

Q: The function ff has a continuous second derivative, and it satisfies f(1)=2f(1)=2, f′(1)=0f′(1)=0…

A: Given: f(1)=1, f'(1)=0, f'(1) = 2 A critical point of a function occurs when the first derivative…

Q: 1. Consider function f(x,y) for which = 24x² + 114y and %= 114x + 24y2. Wbich of the points (5, 5)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If f'(c) fails to exist and c is in the domain of the function, then: the function has a local…

A: Critical points are the points at which the function is defined, but the derivative is zero or does…

Q: The absolute maximum of y =-x + 2x +3 on the interval [0, 3] occurs at Select one: O a. None of…

A: Simply take the derivative and equate to zero than solve for x.

Q: If g(g(x)) is continous at 0, then g(x) is continous at 0.  True or False?

A:

Q: 2. Find the global maximum and global minimum of f(x) = xe- on [0, 6].

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Q: The Second Derivative Test cannot be used to conclude that x = 2 is the location of a relative…

A: We need to check for which of the given functions, can't conclude about location of  a relative…

Q: 1 - X 0 3

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Q: 1. Consider the function z = f(x, y). If fa(a, b) and fy(a, b) both exist, and they are equal, then…

A: 1. Given: z=fx,y and suppose that fxa,b and fya,b both exists and they are equal and it is…

Q: 2. For which of the following functions and domains does the Extreme Value Theorem guarantee the…

A: The Extreme value theorem states that if a function is continuous on a closed interval [a,b], then…

Q: 8. Determine a quadratic function f(x) = ax² + bx + c if its graph passes through the point (2,22)…

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Q: Q.4 A/ Prove the function continuous at x = -2, (x2 + 5 13-3x where %3D if x<-2 if x 2-2 f(x) = %3D

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Q: function, that is 0 everywhere except at t=0, is know as:

A:

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: given that  y=xx2+1

Q: 2. For which of the following functions and domains does the Extreme Value Theorem guarantee the…

A: Solve

Q: 2. For which of the following functions and domains does the Extreme Value Theorem guarantee the…

A:

Q: 3. Consider the function f(x) = r - 1+x 1- a. Explain why, when evaluated in a floating point…

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Q: If f(x) = x² + k find k so that f has a critical number at x = 3. %3D

A: To find the critical number for any function fx we have to solve the derivative f'x=0. That is we…