2. Create a graph that satisfies the given conditions. im f (x) = -∞, lim f(x) = ∞, lim f(x) = 0, lim f(x) = ∞, & lim f(x) = -∞ x-2 X00 X→ー0 x0+ x0- VA VA

Q: 1. Let f(x) = 3² – 2x + 1. Compute lim (x)f – (4 + x)f 0+-4

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Q: Find the values of constants a, b, and c so that the graph ofy = ax3 + bx2 + cx has a local maximum…

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Q: What is limf(x) as shown in the graph? AY 1.14+ 0.76 0.38 -4a -3% -1% 2n -0.38 0.76 -1.14+ O -1 O 1…

A: The graph of f(x) is as shown below :

Q: 2. Find the absolute maximum and absolute minimum value of f(x) = 6x – x on [1, 7].

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A: Given: The limit limz→∞1-3zz2.

Q: FIND THE MINIMUM AND MAXIMUM VALUE F (X) = X/(1-X) X e(0,1)

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Q: 1. Determine the value of each of the following limits if they exist. 1²-21-8 +¹-1 3a) lim- b) lim-…

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Q: In exercises 6 - 17, find the limits of the given functions using any method of solution that you…

A: Note: sorry for the answering only way sub parts because according to our guidelines we have to…

Q: Consider the graph of y = f(x). 4- -8 -7 -6 -5 -4 -3 -2 -1O 2 3 5 -2 For infinite limits, use 00 = 0…

A: As per our guidelines we are supposed to answer only first three parts. kindly repost others part as…

Q: 43()3De"fur all regl numbras x.find Lim g D4-ズ

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Q: Calculate the following limits. t2 - 2t - 3 lim t43 (t-3)3 a) |x-5| b) lim x+5- x2-4x -5

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Q: Evalate the limit 6. lim (e + x)²/x

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Q: 1) Find the minimum value of the curve y = 3x + 2x - 3. Plot the graph for values of x between -2…

A: We have to find the minimum value of the curve y=3x2+2x-3 over the interval -2<x<3.

Q: 4-Find the limits of the following x -1 1. lim Vx +3 - 2 Vx² +2 2. lim X+0 3x –6

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Q: What type of discontinuity does the graph have at x = 1? O continuous O jump -2 O oscillating -2+ O…

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Q: 1. Find the limit. t² 4 8 lim t-2 +3

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Q: 1. Evaluate the limits x* +x-12 lim x-4x-21 x -9 x-1 i. lim iii. lim- ii. x-9 iv. lim 4-3x+7x* - 5x

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Q: (1) Evaluate the following x²+3x (a) lim ズ→0 (b) lim x-3 x-3 бх-18 x²-5x x²+5x+4 (c) lim (d) lim…

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Q: 6. Evaluate the limits. sin(0-4) а. lim Ө-0 Ө-4 4w b. im woo 20w+1

A: It is required to calculate the limits of the following expressions:For part (a):

Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

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Q: 3. Evaluate the limit: x² – 3x + 2 lim X-1 x + 1

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Q: In a lim T→0+ 2x

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Q: What are the limits of both parts of this question?

A: In part a, there is no bound, so the answer of the limit is infinity.

Q: b. f(3) = 2 and lim f (x) does not exist.

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Q: In a model of the nervous system, the intensity of excitation of a nerve pathway is given by I = E[1…

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Q: 2+x 4. lim 3x-7

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

Q: 1. Find the absolute maximum and minimum of y = x³-3x² + 2, [-1, 3]. Sketch the graph.

A: Given function is y=x3-3x2+2

Q: 1. Find the limit. 1-x2 (a) lim VIA +1

A: we have limx→∞1-x2x4+1this is ∞∞(indeterminate form)

Q: 1 1 The graph of f(x,y)==+ +76xy has O One saddle point only. O One local minimum point and one…

A: We are allow to sovle one question at a time

Q: 1. Use the graph below to state the absolute and local maximum and minimum values of the function. y…

A: Explained below

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

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Q: Find the limit. 6et - 6 v1 + t - 1 | lim t-0 t 1 + t Lol +

A: To find ,limt→0 6et-6t, 1+t-1t, 51+t

Q: 1) a) Evaluate the limit. 1 1 lim 3 x x+3 x-3

A: Introduction: The limit of a function is the base of differential calculus. When the independent…

Q: 1- Find the limits: Vx- 1 lim xI x-1 а. 2x3 b. lim X- o 3(x-2)2 2x3 c. lim X-2 3(x-2)2 x+1 d. lim…

A: Given: a)  limx→1x−1x−1=?b)  limx→∞2x33(x−2)2=?c)  limx→22x33(x−2)2=?d)  limx→3x+1(3−x)2=?

Q: Find the value of x at which the absolute minimum occurs (if it exists) for the function f(x) = -x2…

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Q: Let x2 + 10x + 21 f(x) = x2 + 12x + 35 The expression using limits to calculate the equation of the…

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Q: Can you help me step by step?

A: Since, the function f is an even function, so by definition of even function:

Q: Find the maximum value of 8 > 0 that satisfies the limit claim corresponding to ɛ = 0.1, that is,…

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Q: 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 X = 0 g(X) = PEN

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Q: 2) Find the absolute minimum value on (0,∞ ) for 4 f(x)= 5+x+

A: The second derivative may be used to determine local extrema of a function under certain conditions.…

Q: Find lim 4(x) (x) / X-0 x 2. Prove that B(m, n)

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Q: 6. Explain why the limits lim f(x+h) – f(x) and lim f(2) – f(x) h Z-X are each initially in the form…

A: Given that the limits are limh→0fx+h-fxh and limz→xfz-fxz-x.

Q: 2. a. Draw a graph with the following characteristics: lim f(x) = 3 X->2* lim f(x) = 0 %3D x-→2 f(2)…

A: The graph has the properties,limx→2+f(x)=3limx→2-f(x)=0f(2)=3limx→-1f(x)=-2f(-1)=1

Q: х — 2 Consider the function f(x) = x - 4 Use the graphing utitlity to graph f. (x- 2) (x - 4) f(x) =…

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Q: The value of the constant k such that x²– kx+6 lim exits is X→1 х—1 б -6 -7 7 -8 8.

A: 1). From the given problem:   fx=2x+14   From the power law:   dxndx=nxn-1.   So,…

Q: 9. Consider the following information about the graph of a continuous function m(x): • lim→-0 m(x) =…

A: Given: The function mx is a continuous function limx→-∞mx=-2 and limx→∞mx=2 The sign of m' and m''…