f (x) = - x² - 2 as x → -0 f (x) – as x → -o f(x) →-∞ as x → +∞ f (x) → +∞ as x → +o0 ƒ (x) as x - -0 f (x) as x → -00 f (x) as X- +oo f(x) as x → +0 f(x)
Q: x-1 2. Find the critical numbers of f(x) =- %3D x +4
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Q: Find the critical numbers of the function. F(x) = 3x^2 - 4x
A: Topic : critical number
Q: 7. lim -3 x-9 x-9 (1+h)²-1² 8. lim h-0 h Final Answer: Final Answer: 9. lim -2r-15 (Зх-2)2- (х+2)2…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: (2+h)-8 lim h-0 x2-3x 5) lim X-3 x2-9
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Q: im xto1 of the function e(2^x) /(x^2) .. use L'Hoptial's Rule
A: Given information: limx→1e2xx2 The objective is to evaluate the limit by using L'Hopital's rule.
Q: lim 2x2 + 7x +5 X-> -I x+1 lim 16 (Titx -1) | Xー76 lim 2x 3-54 X-7 3 X2-9 lim スーフ4 Nin -(ニル) x2-16…
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Q: Given f(x) - 2r - 3x - 36x + 5. a) Find all critical numbers of f(x). b) Spocify where the function…
A: Consider the given: a) Find the critical numbers: fx=2x3−3x2−36x+5Differentiate w.r.t.…
Q: 25-и-5 e. lim u-0 vi+u-1 f. lim (3x² + 1)-2 x--00 2x? g. lim X+0o x²+1 x3+x
A: To evaluate the limit: e). limu→025-u-51+u-1 It is 00 form. We will evaluate the limit using…
Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8
A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16
Q: lim +h)-f(x) h→0 >- f(x) = v5x + 1 when x %3D h 5
A: Given: fx=5x+1x>-15 To Find: limh→0 fx+h-fxh=?
Q: -7; x<-3 { (x + 2)3 – 6; (x- 2)2 – 5; f (x) = -3 < x < 0 %3D x 2 0 1. lim f(x) = X→-3+ 2. lim f(x)…
A: Given: f(x) : -7 ; x ≤ -3 (x+2)3 - 6 ; -3 < x < 0 ( x -2)2 - 5 ; x ≥ 0
Q: 1. 2. 3. 2х-2 2x +2x-4 lim x →1 2x2+7x+5 lim x→1 vx²+3 –2 lim x →-1 х-1 x+1 4. 5. 6. 16(V1+x -1) lim…
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Q: Find the location of the global maximum and minimum of f(x) = x^3-6x^2+1f(x)=x3−6x2+1 on the…
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Q: 1. lim (x+5x2 – 7x + 1) x-2 ( x +4 if x<-1 if – 1<x <1 if x 21 8. lim f(x), where f (x) =3 2x + 1…
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Q: x2 + 7x - 44 lim x-4 x u) -6x+8 x2 -4 lim xl x v) - 3x+ 2 x - 5x+ 4 lim x-1 w) x- x² -4 lim x-2 x-2…
A: By bartleby rules, only first three subparts have been answered To evaluate limx→4x2+7x-44x2-6x+8…
Q: 1. lim x-> -7 f(x)= 2. lim x-> -3 f(x) = 3. lim x->-2- f(x)=
A: Note : As per the authoring guidelines,when multiple subparts are in one question,then only first…
Q: 12. lim(-x + 5x – 2) 14. lim (x – 2x² + 4x + 8) - X→-2 16. lim (8 – 3s)(2s – 1) s2/3 -
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Q: In the function: f(x)= 6/((x^2)-16) What are the critical numbers of the function? When is the…
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Q: 2x^5-x^4-1/8x^5+x^3+x-2
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Q: 2 lim キx°- キx - しx* -I 3 x メ→ o -\x3+ キメ - 12
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Q: 3x2(x – 1) (a) lim 1→∞ 5x(2x2 + 1) 2 – x3 (b) lim 2x + 5 (c) 1→-0 x4 – 2x³ + 1 2x2 (d) lim lim r--1…
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Q: find all critical numbers of the function f(x)= 4x^4-42x^3-360x^2+35
A: Given, f(x)=4x^4-42x^3-360x^2+35
Q: x2-3x-4 3. lim x---1 x+1 1- -5 2- zero 2- 4- -3
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Q: Find the critical number of the function F(x)= x^-8In(x) X=
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Q: 7. What does the critical point(s) mean to the graph of the function? Determine the critical…
A: Critical points of graph of function points on graph of function where derivative is zero or…
Q: 1. lim (1+ Vw)(2 – w² + 3w*) 12 – 1 - 1 2. lim t-1 12 + 4t + 3 3 2z - 2 3. lim 2+2 - 4
A: we have to evaluate the limits. (1) limw→1(1+w3)(2-w2+3w3)(2) limt→-1t2-1t2+4t+3(3)…
Q: lim x-3-j 2 x²-8-j6 2x²− x³ −3l+x −j37
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Q: 1. f(x) = 3x + 4, at x = 4 2. f(x) = 3x2 – x + 2 at x = 2 3. f(x) = ***, at x = 1 x+3 4. f(x) = X-1…
A: As per guidelines we can solve only three subparts at a time, so the first three subparts can be…
Q: Find the absolute maximum and absolute minimum y-values of the function f(x)= -12 + 4x - x2 on the…
A: The given function is parabola/ Quadratic form so this must contain absolute / relative maximum or…
Q: x2-x-6 lim x-2 x2-4 Vx+2-2 lim x-2 x-2 Vk+3-V3 lim k-0 k
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Q: 19. Solve for A and B so that g(x) has a limit at both x = -1 and x = 3. 4x - 2, X> 3 g(x) Ax + Bx +…
A: To solve for A and B so that gx has a limit at both x=-1 and x=3. gx=4x-2, x≥3Ax2+Bx+2,…
Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6
A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…
Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…
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Q: x2 -x-2 lim n) 2 x2- 2x X-2 x +5 lim X2 x-3 (o
A: according to a guideline we should have been able to do only one question at a time #n #o
Q: 8- 6- y = h(x) y = h(x) -4 -3 2 -2- 2. lim, h(x): 3. lim,→2- h(x): 4. lim,-2+ h(x): 5. limy-2 h(x):…
A: Find the following value from the graph:
Q: lim = e7x- e6x/ex-1 x>0
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Q: for some function g(x),g'(-2)=0 and g(-2)=-8. what is the critical number? What is the critical…
A: Given that: g'(-2)=0 and g(-2)=-8
Q: lim x-->3 f(x)=8 and lim x--->3 g(x)= -4 1) limx--->3 (3f(x)-5g(x)) 2) lim x---> G(x)^3 + 50 / (…
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Q: (r-2)(z²–3z+4) Use the graph of f(x) = (x-2)(z²–3z+4) (포-2) to evaluate lim- (포-2) O 2 3 does not…
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Q: nd all the critical points of the function f(x)= ={ x² 23 if x<1 if x ≥ 1
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Q: x = -1 is a critical number for g(x) = xª +x³ +x - 1. But the second derivative test fails for x =…
A: Explanation of the answer is as follows
Q: 4) lim 12x – 1| x--2 -2- -2+ f(x) f(x) -2.5 -1.5 -2.1 -1.9 -2.01 -1.99 -2.001 -1.999 -2.0001 -1.9999
A: 4)limx→-22x-1
Q: (1) lim t2 (2) lim x0 Vx2 +3 2x + 1 -1 x00 7 - t2 x2 1 (4) lim 3t2 n2 (6) lim x0 Vn3 + 2n 5t (3) lim…
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Q: The function f(x) : (2х — 6)е has one critical number. Find it. - x =
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Q: The process by which we determine limits of rational functions applies equally well to ratios…
A: Note: Since you have posted multiple questions we will solve only the first question (question 23)…
Q: Find any critical numbers of the function. G(x) = x^4 - 6x^2
A: Consider the function: Gx=x4-6x2
Q: Find the following limits algebrically.
A: Part(a)
Q: x³ – 4x² (x + 2)² ' x(x +8)(x – 2) (x + 3)ª 8(7x – 4) (x + 2)* Given: f (x) ,with f'(x) = ,and f"(x)…
A: The critical number of a function f is the point where the first derivative of the function is equal…
Q: Answer 21-24
A: As per guidelines we have to solve 21
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- for some function g(x),g'(-2)=0 and g(-2)=-8. what is the critical number? What is the critical value? What is the critical point.?f(x) = (x2-x-1) e-x is restricted to the domain x ≥ 0 and it has two critical points. One at x = 0 and the other at x = 3 At what value x does f(x) attain its maximum?Find the linearization of f(x)=ln(x2-3) at suitably chosen integer near X=2.1. Then use the linearization to estimate the value of f(2.1).
- 5x−12/x^2−x−42 has vertical asymptote(s) at x=2. Give an example showing that, even if f0(c) = 0, it could happen that f(x) does not have a localmaximum or minimum at x = c. How is this consistent with Fermat’s Theorem in the book?The city of Anville is currently home to 29000 people, and the population has been growing at a continuous rate of 5% per year. The city of Brinker is currently home to 7000 people, and the population has been growing at a continuous rate of 6% per year. In how many years will the populations of the two towns be equal?
- It is observed that a certain bacteria culture has a relative growth rate of 12% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 22. Find the projected population after 24 hours for the following conditions.(a) No antibiotic is present, so the relative growth rate is 12%.(b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.Find the general solution using Reduction of Order: x2y''-xy'+y=0 y1=ln xfind the value of a so that the function f(x)=xeax has a critical point at x=6
- How do you find the critical point of 1/x+3The work force of a certain factory is growing at rate of 2 per month while the average productivity of a worker is growing at a rate of 4 units per month. If the work force is currently 100 and the average productivity per month is 200 units, at what rate is the total productivity per month of the factory increasing?find the absolute maximum and absolute minimum values of ƒ over the interval ƒ(x) = x - 2 ln x, 1<= x <=3.