2- Solve the followinimequalitieS 2X () (X-2)(**) (e) {x * - * < tX 12 + X2-1 2. X2 +1 6-X 3X 3X+2 2.X-

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: Зх-7 (1) lim x--o V4x2+x-11

A: Explanation and solutions is given below....

Q: 2. lim (x - Inx)* x)² 2-0+

A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

Q: Solve inequalities f (x) < 0 where f (x) = (x + 4)(x + 1)*(x – 2)°(x – 3)(x – 7)æ %3D Divide the…

A:

Q: 9x +1 lim x - 1 V1+x-1 lim x-0 lim 2x2 + 3x lim x05x2 - 2x Dr ohammed Jas

A:

Q: \lim_(x->-\infty )((13x-2)/(x^(3)+14x-4))

A: Divide the numerator and the denominator by x3.…

Q: Limit (x-> - infinity) [(5x-3+x3 )/ (5x2 -4)]

A: We have to find the value of     limx--&gt; -∞[(5x-3+x3)/(5x2-4)]

Q: find the maximum and minimum values of the func- tion on the given interval y=2x2−4x+2,  [0,3

A: Given y=2x2-4x+2

Q: 2. 5 Lim X: CSC JZ% メラ。

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

Q: 9) State the intervals of increasing and decreasing behavior in the function k(x) = x2 In x?.

A:

Q: Determine the threer-value candidates for absolute extremum on the interval [-3,1] for the function…

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Q: 3 - Væ + 5 lim x – 4 - ||

A:

Q: (b) your work.) Determine the interval of absolute stability for this method. (Please show

A:

Q: 4 – x lim X → 4 5- Vx² +9

A: We have to find the limit

Q: lim x---q 1/x - 8

A: Limit of a function is the value that function seems to achieve as function approaches certain value…

Q: imit as x approaches infinity of (1-x)/(3n+5)

A: From the given problem: limx→∞1-x3x+5 As we know that: limx→afxgx=limx→afxlimx→agx

Q: V2x2 — х — 1 — Vx — 1 - - - lim x→1 32 - x3 + х — Vx2 +x O A) 2 В) 1 C) none O D) -1 O E) -4

A: we have to evaluate the following limit . For this we can use rationalisation

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: 5- For the y= 3x V4-x², determine the absolute max and min values within its domain.

A:

Q: lim x---q (1 + 2f (x))

A: To evaluate the limit: limx→ q1+2fx

Q: 7. True or False The cube root function is odd and is decreasing on the interval (-x, o).

A: True or False The cube root function is odd and is decreasing on the interval (-∞, ∞).

Q: 2. In a population of N = 10 scores, the smallest score is X = 8 and the largest score is X = 20.…

A: According to the provided information, the smallest score is 8 and the largest score is 20

Q: 12. lim(-x + 5x – 2) 14. lim (x – 2x² + 4x + 8) - X→-2 16. lim (8 – 3s)(2s – 1) s2/3 -

A:

Q: 12. If f(x) =x²-3x solve f(x)-f(2) lim x-2 x-2

A: Since the student posted multiple questions, I will give you the answer to the first question if you…

Q: x2-3x-4 3. lim x---1 x+1 1- -5 2- zero 2- 4- -3

A:

Q: Show how to use the Calculus method from class to find the absolute maximum and minimum y-values for…

A: Note to Student : Hi. Thank you for your question. As seen, here 2 questions are given. As per our…

Q: Evaluate

A: The limit of a function at a point is the value the function tends to as x tends to that point. For…

Q: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

A:

Q: limit x--->1     3-X^2 / 1-x

A:

Q: x+6 lim x--6t x+ 6 lim x6 x6 Jx 6 lim x6 x6 =

A: If x-&gt; -6^+ then x&gt;-6That means x+6&gt;0So, |x+6|=x+6Answer(a): limit x-&gt; -6^+ |x+6|/(x+6)=…

Q: 4) Find the intervals where the function g is positive and enter exact answers only in interval…

A:

Q: x

A: We have to find the exact value of the given according to the given information

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: For each part, find the largest interval of x-values on which the linear IVP is guaranteed according…

A: Consider the provided question, (a) The standard form of the 2nd order D.E is,

Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4

Q: 4х —Зx2+2х-1 Solution of lim is .... хэ0о 5x3+14x2—7х+2 4x5—3х2+2х-1 Nilai dari lim adalah .... х>0о…

A: The given limit is: limx→∞4x5-3x2+2x-15x3+14x2-7x+2

Q: V lim x² – 9 X→3 x² – 4x + 3

A:

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: 3. To achieve the maximum benefit for the heart when exercising, your heart rate (in beats per…

A:

Q: lim h-->inf   10/ (h^2+100)

A:

Q: Use max-min inequality to estimate : 1 -x2 e

A:

Q: 2x³ – 3x³ + 7x-1 lim X-→+∞ 7x – xª + x² –3 2.x5 – 3x3 +7x6 – 1 lim 7x - x4 + x² – 3 X->-00

A: (a)     limx→∞       2x5-3x3+7x-17x5-x4+x2         we take commom x5             limx→∞…

Q: x-x-2 6. lim エ→2 (x- 2)² 4-V16+h 9. lim

A: 6. The limit does not exist. 9. The limit is, (- 1/8)   The detailed solution is as follows below:

Q: Solve the rational inequality. Graph thẻ sôlutions. interval notation. x+4 <3 2x-1

A: Given: x+42x-1≤3

Q: 1. lim(8 - Зх + 12х?) x-2 6+ 4t 2. lim t--3 t²+1 2x2-17х+8 3. lim x-8 8-х

A:

Q: 1. Find two non-negative numbers whose sum is 12 such that their product is an absolute maximum.

A: Let x and y are two non-negative numbers. We have to find maximum of the function Fx,y=xy It is…

Q: 5) lim f(x) x--2

A:

Q: lim (5x+1/5x-1)x  ? x--&gt;infinity

A:

Q: Lim x--->2 x^2+5x+6/x+2

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.