2x-3 x S2 (8x-11, x>2 DISCUSS THE DIFFERENTIABILITY OF THE GIVEN FUNCTION AT x = 2 3. GIVEN: /(x) = Is it differentiable at x-2? Does f(2) existZ

Q: f(x) = 3x? – 7 + 6 Use the second derivative test to find any local maxima and minima. First, find…

A: Given function is f(x)=3x2-7x+6 First derivative is, f'(x)=6x-7 Second order derivative is, f"(x)=6

Q: 3z2 + 7x + 4 Let f(x) : 2x2 + 9x This function has: 1) A y-intercept at the point 2) x-intercepts at…

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Q: S2x³ – 18x + 11 x² – 4x + 3 ln(x) x 21 x < 1 (you may assume g is continuous). Find all critical…

A: Given   function gx=2x3-18x+11        x&lt;1x2-4x+3lnx         x≥1

Q: 4x2 + 17x- 15 f(x) = * # (-5) + 14x + 45 C, T = (-5) What value of C would make f(x) continuous at x…

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Q: f(x) = xV x² + 36 defined on the interval [-6, 4]. a.) f(x) is concave down on the open interval b.)…

A: f(x)=xx2+36 ,  -6,4

Q: Suppose f(x) = =°+ 3z + 1. In this problem, we will show that f has exactly one root (or zero) in…

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Q: 8 2. Find the absolute extrema, if they exist, as well as where they occur for f(x) = 2x + + 1, x >…

A: Given function  f(x) = 2x + 8/x2 + 1      , x&gt;0  To find the absolute extrema, let's find the…

Q: f(x) = x/x² + 1 efined on the interval [-5, 4]. -) f(x) is concave down on the open interval [-5,0]…

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Q: 9) Find all absolute extrema in the function k(x) = (x² – 4) 2 on the interval [-3, 3]. 10) The…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: 3. GIVEN: ƒ(x): 2x2 – 3 xs2 (8x-11, x>2 DISCUSS THE DIFFERENTIABILITY OF THE GIVEN FUNCTION AT x = 2…

A: Given query is to determine whether f(x) is differentiable at x=2 or not.

Q: A thin bar of length L= 3 meters is situated along the x axis so that one end is at x = 0 and the…

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Q: the critical numbers of the function f(x)=6x5-10x3+3 are 0, 1, -1 1) which of the following is true…

A: Given:The critical points of the function f(x)=6x5 - 10x3 + 3 are x =−1 , x = 0 and  x = 1.

Q: 2. For each of the following statements, determine if they are true or false. In either situation,…

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Q: 5. For the function h(x)= 3x - 20x + 7 a. Find the intervals on which h is increasing or decreasing.…

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Q: The function f(z) = 2r + 15z2 - 84r - 1 is decreasing on the interval It is increasing on the…

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Q: 2x 10) Consider f(x) = 3-4 on the interval [2,6. Find the maximum and minimum values of f(x on the…

A: The given function is,

Q: A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the…

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Q: 13 Find the critical points of the function f (z) = 26x 7 +x 7. Enter your answers in increasing…

A: Given  f(x) = 26 x(6/7) + x(13/7)  To find the critical point we differentiate and find the value of…

Q: 1 f(x) = x² – 9 f(x) : x² +3 1 f(x) = Function: (x + 3)² Domain: Range: Equations of Vertical…

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Q: 73 9x +4 then f(x) has a local maximum at the point 3 Use second derivative test, If f(x) %3D - O…

A: Topic:- application of derivatives

Q: 3. If given f(x) = x* – 14x + 24x. Find c, using a) critical points. b) the intervals on which the…

A: Since you have posted question with multiple subparts, as per our guidelines we will solve the first…

Q: 3.1 Let f(x) be a differentiable function with f(4)= e and f'(4)=-e. Determine the linear…

A: As per our guideline, we supposed  to answer the only the first question  Given f(4)=e   and…

Q: 3. Find the location and values for any global extrema of the function 1 f(x) = ³ – 2x° +5 %3D on…

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Q: uaquim's starting salary at a company is $42,000 per year. On average, employees receive a 6.5%…

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Q: 1) Find the interval(s) where f(x)= 12 x3 -x+6 is concave up and concave down . Also find the…

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Q: f(x) = xVx² + 9 defined on the interval (-4, 6). a.) f(x) is concave down on the оpen interval b.)…

A: Calculating, first and second derivative of f(x).

Q: Q: Determine whether the given function has relative maximum, a relative minimum, or neither at the…

A: Given function is f(x)=x4-4x+25  critical points are -1,1

Q: The function f(x) = (1+x) O a. Is increasing always O b. Has an absolute maximum at x = - 1 O c.…

A: fx=1+x53 Differentiating with respect to x, we get f'x=531+x53-1=531+x23=531+x132

Q: 6. 20x on the interval [0,∞). x² +1 Find the absolute extrema of the function f(x)=

A: To find extrema of f(X) , we will find f'(X)=0

Q: Consider the function f(x) = 3x° 4x on the interval - 3, 3. Find the average or mean slope of the…

A: We will find the two values of c as following.

Q: Consider the function f(x) 2x3 – 3x? – 12x + 18. a. Find the first derivative. f'(x) = | 6x2 – 6x –…

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Q: 3 - x xs 2) Q4// Let f(x) = } +1 ,x> 25 x I) Graph the Function II) Is f continuous at x-2 ? why?

A: Given, f(x)=3-x,              x≤2x2+1 ,            x&gt;2

Q: A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the…

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Q: 1. Given the function f(x) = sinx,x=(0,2€). Please find the intervals of increase or decrease, local…

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Q: = 2x? – 20x – 7 on the interval [3, 7), how many values of If we apply Rolle's Theorem to the…

A: On solving this we will get

Q: 3x2 + 19x + 20 Let f(x) = %3D 3x2 + 4x 4 - This function has: 1) A y intercept at the point 2) x…

A: To find out y intercept we need to substitute x=0…

Q: Suppose f(z) = x°+ 3z + 1. In this problem, we will show that f has exactly one root (or zero) in…

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Q: – 2r3. 3.0) Let f(x) =1+3x? (a) Find all critical values for f. (b) For each critical value, use the…

A: Application of derivatives

Q: 3z2 – 7z – 20 f(x) = I# 4 - 20 -4z2 + 21z C, I = 4 What value of C would make f(x) continuous at z =…

A: If the function is continuous then the limit x-&gt; 4 and f(4) must be equal

Q: The function f(x) = (8x – 1)e® has one critical number. Find it. 4x - x =

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Q: 5а? + 19х — 4 x² – 7x + 10 Let f(x) This function has: | 1) A y intercept at y= 2) Roots at x1 and…

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Q: [3 Marks] B1(a): Determine whether the function e12x x 0 %3D 12x 1 - [3 Marks] B1(b): Solve the…

A: Follow the steps .

Q: Q.6 Find the absolute maximum and minimum values of function f(x)=- 3x , on V4x +1 the interval ;…

A: The absolute maximum an minimum values of a function can be found by first taking the first…

Q: A thin bar of lengthL=3 meters is situated along the x axiS So that one end is at x = 0 and the…

A: Consider a tin bar of length L=3 meters is situated along x- axis and the other is at x=3. The…

Q: (4x³ + 42x)(x² + 7)² - (xª + 21x²) · 2(x² + 7)2x (x² + 7)4 (G) f"(x) %3D 14x(21 – x²) (x² + 7) Since…

A: if f"(x) = 0 then point of inflection roots of x

Q: 1 Using the linearization of f(x) =4*, approximate the value of 45° 2 1+-In2 3 2 5 The answer cannot…

A: Given query is to find correct option of linearization.

Q: 3(a): Find the critical points of the function f(x) = 3x² – 6x. (b): Apply Rolle's theorem for the…

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Q: The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells…

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Q: Provide an appropriate response. The critical values of f(x) = 4x - 48x + 24 are x = -2 and x = 2.…

A: The critical values of the function fx=4x3-48x+24 are x=-2 and x=2. To find : Which of the critical…

Q: 4 For the function f(x)= x³(x – 7 ) find : 1. The critical points 2. Relative maxima and minima 3.…

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