Q1: Find 1) e (3 + e6t)2 2) l {e-3t (t + 1)²}

Q: z2-ze coshw.K (z) z2– 2ze coshw.K+e2a -

A: The solution is given below. Hope this helps!

Q: (n² – 3n – 21) ÷ (n –7) -

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Q: Show that kT| e-t²/kTdt = (kT)3/2 " 0. 2

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Q: 4. Is y = 5e-+7x e-2 a solution to the ODE y"+4y'+ 4y = 0 ?

A: The given solution is  y = 5e-x +7x.e-2x To verify it we will differentiate it

Q: (c) Show that V(3) = o²(X'V-¹X)-¹.

A: 3. c From the given information, y=Xβ+ε Eε=0, Vε=σ2V From the part b, β^=X'V-1X-1X'V-1y

Q: 3) FIND A PARTICULAR SOLUTION OF THE ODE y"+8y-20y = 2x +5 - e?X %3D

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Q: 4.2 Apply the appropriate method to calculate the following: 1 = f***-8 I = S x2-4

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Q: Q1 Find root of equation f(x) = In (x')-5, using N-R method in [5,6] with e S0.0001, take E=|x1-x,…

A: Note: It is assumed that the N-R method is the Newton-Raphson method. The root of the equation…

Q: A quadratic equation x4-x-8=O is defined with an initial guess of 1 and 2. Find the approximated…

A: We need to find value of x2 using secant method.

Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

Q: 10. dt 1+ 64t2 -1 A) 2sin-1 8 B) C) 2tan-1 D) 2tan-18 A B D.

A: Since you have asked multiple question,As per our policy we will solve the first question for you.…

Q: determine the second approximation Xz if Ne wtons Method was use to defermine the root o f the…

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Q: Find the general solution of y' + ny = emx for all m, n. Note: The case m = −n must be treated…

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Q: Fill in each blank so that the resulting statement is true.

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Q: 3t Q3) Verify that -e-3t e 3t are solution for re-3t 3t 1 e-3t -2 21 2 X on (-0, ∞). 2 X': -2 1 2 1

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Q: e 12t dt 31. 4et -1

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Q: m21 is nine times as large as m z2. Find mz1. -1 is supplementary to 2.

A: m∠1=9  m∠2                                       ------(1) and  m∠1+ m∠2=180°…

Q: (e) Yk+1 +Yk = 1/k(k+1),

A: Given, yk+1+yk=1kk+1Substitute:yk+1=y'yk=yEquation formed is:y'+y=1kk+1A first order separable ODE…

Q: 6/11 - 8) AT= 12 RT = 4x S. T %3D doesn't R

A: Given: A parallelogram STQR. As per the property of parallelogram, the diagonals bisect each other.…

Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: The number of infected citizens, p thousand, after t weeks is given by…

Q: Ym - 21 , prove that + (n? m² ) yn =o 2 + (2n+1)x Ynts

A: Given y1/m+y-1/m=2x To prove that  x2-1yn+2+2n+1xyn+1+n2-m2yn=0 Solution :  y1/m+y-1/m=2x…

Q: Q2/ Choose the correct 4 By using fixed point method, which as the following formulas can use to get…

A: The given equation is 3xex=1 on [0,1]. To Find: Fixed point iteration rule for the above function.

Q: nx) in the E 2n is

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Q: 2こx+iy 2 Recz) =l 3-i1 if 121 =2, then

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Q: Assume the model: Y = 5 - 2X + e , where e ~ N(0,81) What is the Pr(Y>10) when X =2? And What is…

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Q: 5. Find the second solution by reduction of order method: (1- 2x? y" + 4xy' – 4y=0 y, (x)=-2x

A: Differential equation and it's solution

Q: 2. Find the general solution (4y e)

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Q: the next iterative value of the of x² - 4 = O using secant method, if the initial guess is 3 and 4

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Q: 17. Solve the IVP: y" + 8y(v)? = 1, y(1) = 4, y'(1) = 1/4. Describe the procedure thoroughly and…

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Q: 6y" – 7y' – 5y = 2x³ + e¯* – 5 -

A: Ordinary differential equation involves the derivative of single dependent and single independent…

Q: S(2 + e2*)³dx

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Q: 3t when LI 1 ニe then L %3D S- 3 S-3

A: If Laplace transform of the function f(t) is denoted by Lf(t) or F(s), then the Laplace inverse of…

Q: да Given zTan¯¹ (x + y) — ln [1 + (x + y)²] = 5%, what is ду -1 2-2x-2y none of the choices 2- 2x +…

A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…

Q: Also p; 2 0 for all j = {1, ., k} and E-1P; = 1. What is the value of E(X) and V(X)?

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Q: 2 35+65+2= x de dk ds S₁-042 V S21=-1-577 B √√²-4AC ZA

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Q: (i) Determine the number g, of ways of tossing a coin n times so that the combination HT never…

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Q: During a recession, Congress decides to stimulate the economy by providing funds to hire unemployed…

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Q: Q16 3 a) / 3²+ 2dt dt c) /,₁ (3-5)²

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Q: (1+2 In æ)*

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Q4 Legendra polmomial Pe (X) =2 + (3x+1) than Prove that (2u+1) Puck) =Pmnil (X) -P(X) n-1

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Q: (a) In e7 (b) eln 2 %3D (c) eln v3 %3D Preview (d) In e5

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Q: Find the general solution of the ODE. y" + 4y' + 4y = x-?e-2* on (0, 0)

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Q: 5: A. Using convolution to find L¹ [(5+2)(s+4)

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Q: 5) Find the general solution by using reduction of order method to (x2 + 1)y" – 2xy' + 2y = 0 given…

A: Use the procedure of reduction of order to solve the given differential equation as in next step.

Q: g) Suppose y² + [S(z)]² = 2, then (7,1)

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Q: 2 4 Mx(t) = -e+ 3t e' + e" + %3D 3 15

A: Given: Mxt=13et+415e3t+215e4t+415e5t

Q: eAt = I + At + A²2 + + 2! k! k=0 o compute eAt and e-At (; ) 1 A = 0 2 eAt = e-At Need Help? Read It

A: Given, eAt=I+At+A2t22+...+Aktkk!=∑k=0∞Aktkk! A=1002A2=10021002=120022⋮Ak=1002⋯1002=1k002k

Q: 1 A. Using convolution to find L¹ [(5+2)(s+4)].

A: Convolution Theorem : If L-1F(s)=f(t) and L-1G(s)=g(t) then L-1F(s).G(s)=∫0tf(u).g(t-u)du. (As per…