• The Range of f (x) = v1- x is 1. [-1, 00) 2. (-0, 1] 3. (-0,0) 4. [0, c0) 1 O 2 O 3 O

Q: The value of (x,f(x)) for the upper and lower limits of the function fx=x^3-6x^2+4x+8 and for the…

A: Given function is fx=x3-6x2+4x+8find the upper and lower limits of the function for the period…

Q: Compute the derivative of f (x) = x 3/2 using the limit definition.

A: fx=x32

Q: The function f(x) = 2a – 392? + 240x – 4 has two critical numbers. The smaller one is x = and the…

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Q: 22. The function f(x) = Vx – 6 is transformed according to (x, y) → (7x – 7, - y+1). the transformed…

A: Substitute fx for y in the transformation and simplify. x,y=x,f(x)→7x-7,-f(x)+1=7x-7,-x-6+1

Q: Find the linearization of f(x) = (1+ x)20 at x = 0. Use it to approximate (1.001)20.

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Q: If f(x)= integral subscript 2 superscript x fraction 1+t/1+t^2 dt, then what is f'(-3)?

A: f(x)=∫2x1+t1+t2dt, find f'(-3)

Q: Suppose F(r, y) is a C' function such that F(0, 0) = 0. What conditions on F will guarantee that the…

A: Let us consider, F^(x,y)=F(F(x,y),y)  On applying the implicit function theorem , can get a solution…

Q: 7. Find the absolute maximum and absolute minimum values of f(z) = 2x – 3r2/3 on the interval…

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Q: ,x 1 Is the function k(x) = {x²-1 2,x = 1 continuous at x = 1?

A: We use L' hospital rule to find the limit.

Q: 2²y. 3. Consider the function f(, y) =

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Q: Determine the limit of f(x) as x approaches 2. * 51 f(x) 4- 5 4 2 -i 0 i 2 3 4 5 1- -2 3 5+ 3 1 DNE…

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Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: Let X2=mY , where 'm' belongs to set of integers. And here we have taken a parabolic path .

Q: The critical points of the function f(x) = 36a – 2a4 occur at z= 0, z = +3.00 x = 0, x=±12.00 O r=…

A: We have to find critical points

Q: 7 Determine a value for r so that h(x) x + rx² – 7x has an inflection point at x = 5. 2 -- |

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Q: -2 Find the interval(s) where f(x) =- 64-x2 is continuous.

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Q: use graphical approximation methods to find the point(s) of intersction of f(x)=e^x and g(x)=x^6 to…

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Q: Find the best linear approximation to f(x) = x² on the interval [0, 2].

A: Here we use Taylor's approximation.

Q: Find f-(-1,1) of the function: f(x, y) = x + xy +2a°y?

A: Let's find.

Q: Compute the derivative of f (x) = x 1/3 using the limit definition.                            (x +…

A: Given: fx=x13 To Find: The derivative of the given function using limit definition

Q: 5. Prove f(x) = e* + x has a root on the interval (-1,0) using the Intermediate Value Theorem.

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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.

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Q: Please show steps.

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Q: Consider the function f(x) = 52° + 12x – 7. %3D (a) Find the derivative f'(x) and hence the critical…

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Q: Show that the function f : [0, 1] →[0, 1] given by f(x) = (x −1)2 has a fixed point. Can you apply…

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Q: for x 2 - X Is differentiable at x = 2 but not at x = 1.

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Q: A) Find and classify the critical points of f(z, y) = x³ + y3 – 6y? – 3.x + 9 using the first and…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: What is the critical number c and function value f(c) of f(x) = (x – 2)² + 3x – 3. If necessary,…

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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: . (a) Find the critical numbers of . f (x) = x 4 (x -1 )3(b) What does the Second Derivative Test…

A: (a) We say that x=c is a critical point of the function fx if fc exists and if either 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: Determine the extreme values of the function (exact coordinate(s) f(x) = 2sinx – x on the interval x…

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Q: 5. Let f(x)= x . arccos x. Find f'(-/3/2) ||

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Q: 2. Let f(x) = r³, 0, if reQ if r ER\ {Q} Show that f'(0) = 0.

A: We have given a function ,  fx = x3 , x ∈ ℚ0 , x ∈ ℝ \ ℚ We need to show that , f'0 = 0 We know the…

Q: 3. Define the function F(x) = S“ sin () dt . For 0 <x < 2, determine: a) %3D The critical points,…

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Q: How must f(0) be determined so that the function f(x) = x2-x ニー x0, is continuous x-1 at X= 0?

A: Let f be a real function . Let a be any point in its domain . If limx→afx exist and equal to fa Then…

Q: 2. Find and classify all the extrema of the function f (x, y) = 4xye e-(x²+y²)/4

A: The given function is:  f(x,y) = 4xy e-(x^2 +y^2)/4

Q: 2. Find whether the function F-(* - y' )i + (v² - 3x)j + (:² - xy is irrotational.

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Q: 2. Find the absolute extrema of the function on the closed interval. f (x) = Vx – 2, [0,4]

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Q: 2 The function f(x)= (x² – 1) ³ , is decreasing on the interval (- 00,-2)U (0,2) AO (-1,0) U (1, ∞ )…

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Q: 7 For the function eX, the linear approximation around x = 2 is %3D

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Q: - Given f(x, y, z) = x In(yz³), find fzy and fyz.

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Q: Find the absolute extrema for the function over the specified domain. y = x2 5 over [ – 1, 2] -

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Q: 3.) if f(x)= akw f(x) = x-1 and (X) X-1 What is the valule of

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Q: 3 Q1// :- find fy,fy at point (4,1) for f(x,y) = Xe

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Q: Find and sketch the domain of the function. f(x, y, z) = ln(64 − 4x2 − 16y2 − z2)

A: Given function is      f(x,y,z) = ln(64-4x2-16y2-z2) We have to find the domain of this function.

Q: Find f fy. - f(x.y.z) = x - Vy² + 22? + 2z² = (Type an exact answer using

A: Here we have to find fx , fy and fz  of

Q: 2. Consider the function а(т — 2) Vx +2 – 2 - if x 2, 2x 2 x² - where a, b, c are real numbers.…

A: Given function is  f(x)=a(x-2)x+2-2   if x&lt;2b                     if x=21x-2-cx2-2x  if x&gt;2…

Q: Find f(3,4) for f (x, y) = In(x + /x² + y²). %3D

A: Given:- f(x, y) =ln(x+√(x2+y2))  To find:- fx(x, y) at (3, 4)

Q: 3. Find the linearization function for the function f(r.y) = V? + y² + 2 about the point (-1. 1) and…

A: Given : f(x,y)=x2+y2+2 about the point (-1,1). We know that linearization of a function f(x,y) at…