-2 -1 1 2 p(x) 1/3 k 2k 2k 1/6 : E(x) О з0/7 О 7/30 О 7/30

Q: Q3. Solve in terms of Bessel's function, the ODE x²y" + xy' + ((lnx)² + ¹) y = 0 1²)y=0_z=lnx.

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Q: The value of (i)* is = O e^(-T/2) e^(T/2) O 1/2 -T/2

A: The solution is given as

Q: Given f(z) = 1-홍(10 + 7z) + 응(10 + 7a)2 - (10+7 then f'(x) =, %3|

A: Find your answer below

Q: If 69 + 5 f(x) + 2x²(f(x))³ = 0 and f(1) = -3, find f'(1). f'(1) =

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Q: 7. If y == f(x²), ƒ' (4) = 3, ƒ (4) = 12, then y′(2) = a. 0 8. If y=x then y' (4) = a. 2√2 2 + In 2…

A: Firstly use differentiation property both side

Q: (x"^y2/5)20 1/4 2/5 (x' (2) 2

A: since you have asked multiple questions in single request so we will be answering only first…

Q: 7x +3 Given f(x) then f-1(x) will be %3D 8 8х — 7 А. 7x-8 3 8х - 3 D. 8x + 7 3. 7 elect one: OB O A…

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Q: Find f'(x) and simplify. X + 8 f(x) = Зх — 4 (x² + 8) O A. (3) - (3х - 4)(2x) [3х - 4)2 (3x – 4)(2x)…

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Q: sinh(2 In(c)) = %3D (A)를 + 옮 2c (B) c2 - (C)를 1 - 1 (D) c-! (E) 0 10:12 AM

A: As per our guideline we are supposed to answer only first asked question.Kindly repost other…

Q: x +5 Given the function g (x) find g' (x) x² +6x O 8' (x) = x* +6x³ +5x² +30x x² (x+6)? O 8' (x) 2x3…

A: Given, gx=x2+5x2+6xDifferentiate…

Q: 21 (a) ²x¹ d(x³). Note a(x) = x³. 3 (b) (²x² d(ex). Note a(x) = ex 2

A: Given :∫1213x4dx3∫24x2dex

Q: e (1? + Зх — 4) dx. 4) d.r.

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Q: 1

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Q: 33. Find [g of ]x when f(x) = 2x + 4 and g(x)=x²-3x + 2. a. 4x² + 10x + 6. b. 2x² - 6x +8 c4x² + 13x…

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Q: Find f (x) and simplify. x +5 f(x) = Зx-2 Which of the following shows the correct application of…

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Q: If '(3) = -1 and h'(1) = 5, then "(r)dr= (A) -6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11

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Q: If f(x) = 3√x (x³ - 5√x+4), find f'(x). x ²7/31²- Find f'(3). X

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Q: Suppose f(x), f'(x), g(x), and g'(x) have the values shown: -6 I -7 f(x) -9 f'(x) -1 g(x) 10 g'(x)…

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Q: 1. If y = А. — 394 (2х — 1)-5 в. 394 (2х —1)-5 С. —48 (Зх — 2)-4 2x - 1' then the 4th derivative is…

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Q: 51. (a) 4 = -cı (b) c1(t) = 8e(-2/5)t g/L

A: (a) Given information: dc1dt=-25c It is first order seprable ODE

Q: ff (9 (x)) = ()° which of the following is correct? 1 1. f (æ) = -- 2-8 and g (x) = a² 3. ƒ(x) = and…

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Q: 17. Solve the equation x-3x' + 3x +x-6 0

A: We have to find the solution

Q: If f(x) = V5x – 3, find f-1(x). | 3 x3 + 3 А. f-(x) C. f-1(x) : ==X- 5° 3 3 x3 f-(x) =- f-'(x) = 5…

A: Given, f(x)=5x-33 To find the inverse function, f-1(x) Take f(x)=y . The idea is to solve the above…

Q: If f (x)-x - 2х +10, thenf"(2)-? А. 10 В. 12 С. 14 D. 16

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Q: 7 f(x) = 2x' + х— 2 + f'(x) = 2.

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