3s + 2 4s2 + 12s + 9 3 5 4 + Stezt 2 5 4 3 Option 1 Option 2 3 2 4 +te -tet 4 5 3 e O Option 3 O Option 4

Q: inverse of sec x?

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Q: Cot X=-CSE X dx

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Q: s+ 1 F(s) s3 + s2 – 6s

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Q: O y'- ev3 Question 6 y = 2e-V3x is a solution to y'-ev3 O 3y" – 9y = 0 O y" – y' – 12y = 0 O y"+3y 0

A: topic - differential equations

Q: 6 2) Find the 3rd derivative of y = (x-1)2

A: Given: y=6x-12

Q: 3s+10 W (s) = s(s-8)(s-6)²

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Q: QUESTION 4 Laplace transform of 2e-3t 3! (s + 3) 2! (s+3) 2! (s+3)? 2! (s+2)

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Q: Fluid flowing has a velocity field given by V =u, sin[a(t – ý/v.F +v,j on=4 %3D where uo Vo, and @…

A: Given: V→=u0sinωt - y/v0i→+v0j→, where u0, v0 and ω are constant.

Q: What is Lagrange's theorem?

A: Lagrange theorem is one of the central theorems of abstract algebra. It states that in group theory,…

Q: Given F'le) = 12, iF 0 1 then L(F'(E)) is. %3D ) if L le?t) = 1 then L (s S- 3 e3u du)is... %3D

A: 1) Given F'(t) = F'(t) =2if 0<t<11if…

Q: CoSe Zane Sine

A: We will solve the following.

Q: F(s) = s2 + 2s + 2

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Q: Question 40 Find the Laplace transform of u (1) =2-3u (t-2)+ u (t-3) A -3s 21 -25 +e S- - 2- 3s +…

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Q: Find the Foumer series of the Funchin 0人 IA 4-大 TくKIT

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Q: 00 cos nT Σ' n-0

A: Given,  ∑n=0∞cos nπ5n   We have to evaluate it

Q: Give the associated matrix of a transformation on R2 that performs the following: A reflection about…

A: we knew that associated matrix of the tranformation of a matrix on R2 which is a reflection about…

Q: QUESTION 7 The Laplace transform of tcos(3t) 6s (s2 +9)? s² -9 (s2+9)? s² +9 (s² -9)? 6s (s² – 9)²

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Q: Find the inverse Laplace transform of 7s (3s²+75)²

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Q: J arcsin vc da

A: To evaluate the given definite integral.

Q: 21. f(t) = 4t 10

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Q: Hiw, sin hza

A: Find the attachment

Q: inverse Laplace Trans Y(s) = = = 75+ 3-45 - 3-25 S² +49

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Q: A consumer research group is interested in testing an automobile manufacturer's claim that a new…

A: From the given information, the hypothesis will  be given by as follows: H0:μ≥25H1:μ<25 a. At…

Q: Let C be the curve connecting (0,0,0) to (1,2,1) to (-2,2,4) to (0,0,0) :/ (tan (x³)+ 2yz) dx + + x…

A: According to Stoke's theorem,  ∫CPdx+Qdy+Rdz=∬SRy-Qzdydz+Pz-Rxdzdx+Qx-Pydxdy Given integral is…