Show that if s(3) 4(q- _9−2+9(1+ 93 2(g-1) increasing or decreasing. For 3 > 0, q> 3

Q: Evaluate L-1{ -(-e¯™s+4T8+ 2+1

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Q: Let f(x) = x² + 5.5x + 722 . Which of the following is equal to f(x + h) – f(x)? %3D O x² + h? + 2xh…

A: Given that f(x) = x2 + 5.5x + 722. We have to find the value of f(x + h) - f(x).

Q: What is the value of k so that the polynomial P \ left (x \ right) = x ^ 5−23x ^ 4 + \ left (2k − 3…

A: Given : P(x)=x5−23x4+(2k−3)x3−17x2−54x+40 Q(x)=x-2 Remainder theorem states that x -a is the divisor…

Q: Vx + 3 Given f(x) = 4 then f-(x) will be %3D

A: The inverse function of a function f is a function that undoes the operation of f. The inverse of f…

Q: ƒ(5x² + 4x³ − 2x + 1)dx 이름 +2 -를 +a + C 5 2 O x5 x5 + x²-x²+x+C O 20x5 + A O 20x³ + 12x² −2+ C…

A: Given, ∫(5x4+4x3-2x+1)dx

Q: 65. (x + 3)(x - 3)(4x2 - 9)

A: Given: Let p=x+3x-34x2-9 To Find: To evaluate the given expression.

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

A:

Q: = 1+x T(₁) = 7(x) = 7 (x²) = 4 + 3x. 3-22 2.1 Find T( a +bx+en 2.2. 2 2 = d -x73x T(4-x + from the…

A:

Q: fnd all xeR where -5x (x+) n=2 ナS is Convergent- +5

A: We have to find all x∈ℝ such that the series ∑n=2∞ -5xx+1nx+1n-1+5x+1n+5 is convergent. We know that…

Q: Evaluate ak+2 if ap

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Q: Consider the function f(x)=x^3−x^2−52x+160. When f(x) is divided by x+8, the remainder is 0. For…

A:

Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: (а) 3х < 5х—8 |

A: Topic:- inequality

Q: 68. (t + 4)(t + 4)(t - 4)(t - 4)

A: We will use here the property a2-b2=(a+b)(a-b)

Q: 45. f(x)={19x if –1<x<6 22 if x26 a) Find f (-3). b) Find f (2). c) Find f (75).

A: Given : x=-3 it lies in the range -5≤x≤-1 1) f(-3) is calculated as: =(-3)2-7(-3)+1=9+21+1=31 2) x=2…

Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Can you please revisit 2 (b) , I think it is not correct , especially an+1.

A: Let ∑an(z−a)n be apower series.Then the radius of convergence R=1limn→∞|an+1an| if limit…

Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: 5. Find mZHGI. F G (7x - 1) (4r + 3)"-

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Q: S(10) for √3 - 3 + 3√3+...

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Q: 16. When (2x- 3)' is subtracted from 5x, the result is x²-12x-9 2x - 12x + 9 3x + 12x-9 4) x + 12x +…

A: Given:         2x-32 is subtracted from 5x2 is    here 2x-32 is in the form of a-b2=a2+b2-2ab

Q: What is the solution set for x+1/x(x+2)?

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Q: Find x so that x,x+2 and (x+3) are threee consecutive terms of GP

A: When a, b, c are in gp then b^2=ac.

Q: iunmplicit depilatives TocA- 2 J t Ina (3x3 -x)(3a - 2)

A: We have to find

Q: Ir X(s) (++2) (214)" find L[(2t)] Select one: O a. L[¤(2t)] (s+4) (s2+16) O b. L[r(2t)]| (8 | 4)…

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Q: 4-|x|= 2x+1

A: Solve the equation 4 − |x| = 2x + 1 for x.

Q: Find x so that x,x+2 and (x+3) are threee consecutive terms of GP

A:

Q: 4x + 2(x+1) ≥7+x

A: Given: 4x+2(x+1)≥7+x To find: simplify the given inequality.