7. Find the natural domain of the function f(x) = V4– 3x .

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3

Q: Find aa and bb so that the function f(x)={4x^3-3x^2+5, x&lt;-2         {ax+b,             x is…

A:

Q: Find the linearization of the function f(x) = x^8 at x = 1

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Q: Find the points of discontinuity of the function f(x)={1−x2,x&lt;0x+2,x≥0 if they exist.

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Q: Find the global extrema of f(x)=√5−4x on the interval [−1,1].

A:

Q: Are the f-llowing functions Continual s OFC メーE X-2 スト=メ 1P 2) FCX)s X- S X +7 at XE-1 X5qXs (xフゴ

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Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

A:

Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

A:

Q: Determine the linearization of the function f ( X) = (√4X+ 1)  at x=6. Use that linearization to…

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Q: Find the minimum and maximum of the function in the specified interval. 1. f(x) = x² - 6x + 9 on…

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Q: Find the global extrema of the function f(x)=x3−6x2−15x+100 on the interval [−3,6].

A:

Q: f(x, y) = /4 – x² – y² + V1 – x? -

A: To find the domain of the function, f(x,y)=4-x2-y2+1-x2

Q: The function f(x)=(2-x)/(3) is continuous at

A:

Q: 7. Consider the function *+1 if r< 2 f(x) = 3-1 if z 2 2 (a) Show that ƒ has no fixed point.

A:

Q: Find the maximum and minimum values of the function f(x) = x² – 6.x +7 on the interval [0, 5].

A: It is given that, f(x)=x2-6x+7   , on the interval 0,5We have to find the maximum and minimum values…

Q: 1. Come up with the equation of any function f (x, y) satisfying fx = x + y and fy = x + 3y³

A: The objective is to find the function f(x,y) satisfying fx=x+y and fy=x+3y3 Now take, fx=x+y Now…

Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is:

A: Given f(x) = ex - 1

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is: |

A: Given,                 f(x)=ex-1

Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

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

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Q: Determine all critical points for the function. f(x) = x2 + 6x + 9 %3D

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Q: Vhat is the largest output value of the function z = 2x + 2y that can be obtained by plugging in…

A: In this question, the value of the function is checked at the corner point. The maximum value of the…

Q: Find for the following function: 1- y = etan'x 2-x'y+ x*y 2 at x = 2

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Q: Find the value k that makes the function continuous. kx + 14, х > 2 f (x) = 11x + 2, x < 2

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Q: Find the global extrema of the function f(x)=x4−2x2−1 on [0,+∞).

A: Given function is Differentiating both sides with respect to x, we get Now, we will find critical…

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

A: y = 3x2/3 − 2x,                                   [−1, 1]   absolute extrema of the function = ?…

Q: Use the Intermediate Value Theorem to show that the graph of f(x) = 4tan(x) – x + 1 intersects the…

A: Please note that according to guidelines only first Q is solved. Please repost the other question.

Q: Show that the function g(x) =x |x | has an inflection point at (0,0) but  g " (0)  does not exist.

A: Given function:                                 g(x)=x|x|   To find out the Inflection point=?…

Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: Show that the function f(x) = exp(-|x|) is not differentiable at x = 0.

A: Given function is  fx=e-x given point is x=0.

Q: Find the absolute extrema of the function on the closed interval.                    f(x) = x2 + 5x,…

A: Absolute extrema of the function on the closed interval occurs at a point where its first derivative…

Q: Show that f(x)= |x| is not differentiable at x = 0.

A:

Q: 4. Show the function f(2)=21m(z) is differentiable or not differentiable at any points.

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Q: Find the extrema of the function g(x) = x3 using any of the methods given in the above discussion.

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Q: f(x) = 4x^2-12x+7   how is this function concave wherever it is defined?

A: Given:

Q: find the critical point and classify the function f(x,y) =xlny +x2 -4x-5y+8

A: Answer

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: Find the approximate value of the function f(x)=√5x−1 at x=1,99.

A: Given Here a = 2. The formula for approximate value is Substitute a = 2 in given function to get…

Q: 3. Is the function given by g(x) = x² x = 4? Why or why not? 3x continuous at

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Q: Find the local extrema of the function f(x)=√x2+1.

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Q: Examine whether or not the function fx' - 2r +1 ifxs 2 S (x)= x'-2r +1 [3x-2 if x>2 Is continuous at…

A: Given function, fx=x3-2x+1,     if x≤23x-2,            if x&gt;2 To find the continuity of the…

Q: Find the critical and inflection points of the function f(x) = 4sin³x – 3cos²x

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Q: 14) What is the domain of the function f(x) E, ?

A:

Q: Find the value of k that makes function continuous at I = 4 2x + 8 x > 4 f(x) = 4x k r< 4

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

Q: n x(0)=0

A:

Q: 3 Show that the function f(x) = Vx – 5 is one to one function.

A: The given function is: fx=x-53