Question 16 of 20 y'=8sin4x, y(0)=6 Select the correct response: O y-2cos4x+8 O y=2cos4x+6 NONE y=2cos4x+8

Q: 17) pla) = a' – 5; Find p(x – 4) %3D

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Q: 3 Find y" for y = 5 + y" =D

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Q: Find the general solution to + 18y" + 81y = 243 + cos6t O y = c1cos18t + c2sin18t + t(c3 cos18t +…

A: The solution is given as

Q: 5. Find the homogeneous differential equation whose general solution is y = 3 cos x - e³x/2 - 4x sin…

A: Note:-“Since you have posted multiple questions, we will provide the solution only to the first…

Q: All 4 questions thanks

A: Step 1:    Step 2: Step 3: Step 4:

Q: Show that 1 Σ (z – n)2 cosec² (z) 8.

A: As we all know the theorem which states that, For z∈ℂ\ πℤ 1sinz=∑n=-∞∞-1nz-nπ=1z+2z∑n=1∞-1nz2-n2π2…

Q: (x? - 1)² dx = x$/5 - 2x/3 + x + C Select one: O True O False Jdx/(1 - 2x) = 1/2 In|1 - 2x| + C…

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Q: how do you find z sub alpha over 2 using table a-2

A: I am solving this question by taking an example Let us take α = 0.05 We need to find

Q: 10. de

A: =?

Q: 1 1.S xvx2-5x+7

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Q: 3 1 = (-1 5 3 and b 0 3/ 2 '3' Find A-b if A 2 %3D 3

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Q: Let 2a4 + y* + 23 = 4 Then dz (1, 1) = 8/3 -8/3 none of the listed here 1

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Q: (1) 2x₁ + 3x₂ = 8 x₁ +4x₂ = 9 (Ans. x₁=1, x₂ =2)

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Q: 23) -4V192X 25) -4V216xy'z

A: Given query is to simplify the expression.

Q: 8 410x-32+x2 cos2x 4 Find *: (a) y =

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Q: Verify that det(AB) = det(A) det(B) for the following:

A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

Q: In the set-up of Example 11.1, evaluate P(R = r, Y = y) for all possible values of R and Y. Use your…

A: Here, balls are drawn without replacement. Hence, the joint PMF of R: The number of red balls, and…

Q: 6 S(3csc°C+) - &e*)dt

A: Given integration is : ∫3 cosec2t-8et dt To find the value of integration

Q: If A = 2 1 2. show that A² – 4A – 5) = 0, %3D %3D 12 2 1.

A: To show that  A^2-4A-5I=0

Q: (21)3 if z1 = 1230°, z2 = 1260°, and z3 = 1245°, find , (z3)% %3D 1275° O 1Z175° O 1Z125° O 125°

A: We have to find out

Q: Find yp for y" + 5y' + 4y = -2x + 3 1- O Option 1 XIN 2 +8+ C

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Q: 23 simplity:(1it3i)(lat36)=

A: Given; (11+3i)(12+3i).

Q: _, then m= If ym = (1/7)5

A: we have to find the value of m

Q: (-2m*)' (2a'6') (32y 13. 14. 8m (2ab*)' 15.

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Q: If the order of A is 4x 3, the order of B is 4 x 5 and the order of C is 7 x 3, then the order of…

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Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

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Q: has its largest value. a = Find two numbers a and b with a ≤ b such that b= # # L (6-52 (6-5x-x²)…

A: Given integral is ∫ab6−5x−x213dx. We have to find the value of a and b with a≤b. The integral…

Q: 2) y=-- +1 2 1 ソ= 1

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Q: Problem. Show that S {₁ 【 (s − 2)(s − 3)(s — 6) J L-1 -6)} = 1/2 ²² - e³t + e

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Q: The general solution of +y= 2, with y(0) = 0 i , O ye? = 3e? – 3 O None of the choices O ye? = 2ez +…

A: this is linear differential equation

Q: 2- Discrete dx" using polynomials with backward differencing in equisized grid. n is one before the…

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Q: 20 %3D Find (all) the value(s) of c such that 5c2n 3 n=0 (A) c= 2 (B) с — 7 (C) c= -2,2 (D) c = |…

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Q: Show that 1 1 2 y? 2 = (y? – *)(2² – a²)(2² – y') 4,

A: We have to prove that  We will it by using the properties of determinants.

Q: It is argued that more time spent studying will result in improved course marks among ECO242…

A: ∑XY=37832∑X2=14964∑X=632∑Y=1650n=30

Q: Find yp for y" + 5y' + 4y = -2x + 3 1- Option 1 x 2 +8+C

A: