x approaches 4 from the left. x approaches 4 from the right. 3.9 3.99 3.999 4 4.001 4.01 4.1 x? – 6x + 8 f(x) = 1.9 1.99 1.999 Undefined 2.001 2.01 2.1 x – 4

Q: 1 3. f(x) = x - 2 at x = 2 %3|

A: In this question we have to determine the function is continuous.

Q: 1 1 suppose / f (x) dæ = –2 and / g (x) dæ = 1. What is the 1 value of / (f (x) + 3g (x) – 2) dæ?

A: Given : ∫01fxdx = -2∫01gxdx = 1

Q: 5) f(x) = x = 4 at V4 -x

A: NOTE- AS WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION, SO, I HAVE ANSWERED FIRST ONE FOR YOU…

Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x    if x < 2              2x + 4     if…

A:

Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

A:

Q: 2n If f(x) = >(-1)". find f') accurate to 4 decimal places. 3" n=0

A:

Q: -4x+6 for x<-1 f(x) = x² +2 for 1<x<4 for x24 Part 1 of 5 f (3) =| Part 2 of 5 f(-2) = Part 3 of 5…

A: see below the calculation

Q: (i) Discuss the continuity of the function f(x)= x^2-3x        if x&lt;2…

A:

Q: x2 - 8 If f(x) = X-4 where is f not differentiable?

A: Find where is f not differentiable

Q: logs(x) if 3 s x 56 if 0 < x < 3 +1 if -2 s*s0 x-2 Let f(x) = %3D x+1 Find f ().

A: Given fx=log5x2if 3≤x≤6x-2x+1if 0&lt;x&lt;3x2+1if -2≤x≤0

Q: 3 What is not true about the function f (x) = –3[2(x – 4)]° + 4? O horizontal compression by a…

A: Given function f(x)=-3[2(x-4)]3+4 Its clear that the parent function is f(x)=x3

Q: Describe the long run behavior of f(n) = - 3(3)" + 2 As n → - 00, f(n) - v As n + 00, f(n) + ( 2 atc…

A:

Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x&lt;=0 and F(x)= x^2+2x+k if x&gt;0 if…

A:

Q: 3. For which function is the average rate of change over the interval 1 < x < 5 greater than the…

A: To find- For which function is the average rate of change over the interval 1 &lt; x &lt; 5 greater…

Q: The following series of questions walks you through the steps needed to find the relative extrema of…

A: Critical  point and 2nd derivative of function is given below....

Q: 1. What is true about the behaviour of the function f(x)- from the right as x → 4x + 5 towards the…

A:

Q: Find general formula for f^(n) if f(x)=x^-4

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Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 2 2x + 4 if x ≥ 2on the open…

A:

Q: 3 Suppose S f(z) dz= 6 and S g(x) dz = 4. T3= -1 -1 Evaluate (-2 f (x) + 2 g (x)) dr. 1 Remember to…

A:

Q: The function fis increasing on the interval (s) (A) 0 1 © x>2 D x 2

A:

Q: The function below has a critical point at x = 3. What is the exact value of b (as a fraction - no…

A:

Q: As x approaches infinity, which functions f(x) also approach infinity? How can :…

A: It's easy to see that the function that you have quoted is…

Q: t is a fact that the function  f(x) = x(161/x − 1) has a limiting value. Use a table of values to…

A: We need to find limiting value.

Q: 4. If f(z) is the principal branch of z3, find f'(–1– i).

A:

Q: S for (x – 8)2 – 6 x + 5 f(x) = 2 for x = 5 Find f(5)

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Q: Joseph is using successive approximation to estimate a positive solution for f(x) =g(x). where f(x)=…

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Q: 1 Find (fog)(x) when f(x)= x +5x+6 and g(x) = x+3 O A. 5x+36x2+81x+55 2+6x+9 O B. 1 2+5x+9 O C. x+2…

A:

Q: 1. Use the function f(x) = 4x°e* to answer the following problems: (a) On which interval(s) is the…

A: The given function is: fx=4x3 ex (a) To find the interval in which the function f(x) increasing?

Q: 2.Find an example different from the one in the text showing that (f ∗ 1)(t) need not be equal to…

A:

Q: In parts (a)-(f), use the given figure. y = f(x) (a) Solve f(x) = 30. (b) Solve f(x) = 60. (c) Solve…

A: Find the value of x for the given function value

Q: evaluate h(x) = 2x-1/ 3x+1 at the given value of x h(s-5)= ?

A:

Q: 2. f(x)= 2* at x = (0, 4] where n = 4;

A: Given:    fx=2x2  at x=0,4       where n=4 Simpson 13 rule:…

Q: 3. If f(x)=-4x+2 and g(x)=vx 8 find (fog\l12) 4. If f(x)=-3x+4 and g(x)=x find (gof)(-2) 5. If f(x)…

A: 3. Given f(x)=-4x+2 and g(x)=x-8f∘g(12)=fg(12)so now substitute g(12) in given…

Q: Find the length L of the graph of 3 (a) f(x)=x'2 +1 for 0<x< 4 3/2 1 (b) f(x)=In x -x² for 1<x<2 8

A:

Q: Differentiate the following function.   f(x)=9−2x+e−5x d/dx9−2x+e−5x=nothing   Enter your answer in…

A: fx=9-2x+e-5x

Q: f(3.8) - If we knew that f"(x) < 0 on the interval (3.5, 4.5), would your estimate above be an…

A: We need to find f(3.8)

Q: 5 Suppose S f (x) dr = -8 and S g(x) dx=9. %3D -3 -3 | Evaluate S (2 f (x) + 4 g (x)) dr. -3…

A:

Q: 1) f) 6 at x = 2 3.

A: we  have to find the function value

Q: 3 Suppose S f(x) dz = 9 and S g(x) dæ = 2. -2 -2 3 Evaluate S (-2 f(x) – 2 g (x)) dæ. -2 Remember to…

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Q: 6 — 2х if x x2 – 16 For which x E R is f(x) continuous? You must give j your answer.

A:

Q: Evaluate: g(f(-3)) y fx) y = g(x) 10 10 6. 3 3456789 10 10-9-87-6 "5 -2 -1 2345678 9 10 -2 -4 to

A:

Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as…

A:

Q: Describe the behavior of f (x) = x' – 3x + 6 for all values of x. | O f(x) is increasing when x 2…

A:

Q: Suppose f(-3) = 5, f'( − 3) = 5. f(-3.02) ~ decimal places) Approximate f( – 3.02). - (enter your…

A: I am attaching image so that you understand each and every step.

Q: -6x If f(x) = -3. then f'(3) = x+3 (Answer accurate to 2 decimal places.)

A: Given fx=-6xx+3 The quotient rule of differentiation states that ddxuxvx=vdudx-udvdxv2. The power…

Q: Find the absolute extreme values of the function on the 11) F(x) = 0.5 s x s 2 x2

A: We first find the critical values by solving F'(x)=0 F(x)=-2x2F(x)=-2x-2F'(x)=-2(-2)x-3F'(x)=4x3For…

Q: 2 If f(x) = 2(1 – x)-1. | 1-x Find a formula for f(n) (x).

A: The given function is:  fx=21-xfx=21-x-1 To find the formula of nth derivative fnx, evaluate the…

Q: 4. If h(x) = 2x – 3, find h(x²) and [h(x)]². 5. f(x) =- 2 6. f(x) =*

A:

Q: 4x Let f(x) Compute the difference quotient for f(x) at x = 3 with h = 0.3. Round your answer to…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.