12- Let Mx,y (t₁, t₂) = e4t+t₁t₂+8t. Then var (Y) is (a) 13 (b) 7 (c) 16 (d) 9

Q: (D³ – 3D + 2)y = -7 5.

A: Solve the following

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Q: |(6t2 – 4t + 3) dt

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Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

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Q: (ax-3 (x+4)8 Degreez co EGAelents

A: The detailed solution is given below Thank you

Q: Exercises: Differentiate the followings 1. y = (2x2 – 4x + 1)60 %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let f(t) = (t-6)4 e3(t-6) u6(t). Find F(s)

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Q: 10. (D² – 6D + 9)y = e3x

A: Given, D2-6D+9y=e3x To solve the above differential equation.

Q: (x-2)² + (y+1)² =16, find- A. 16 (y+1)³ d²y dx² B. 16 (y +1)³ C. 16 y³ D. 16(x-2)² (y+1)³

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Q: dx 19. Evaluate using substitution f V5-4x-2x2

A: I have used method of substitutions

Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

Q: Evaluate (3x²y + y)dx + (x³ +x) Select one:

A: Here we have to evaluate ∫(1,2)(4,5)3x2y+ydx+(x3+x)dy ............(1)  Here P(x,y)=3x2y+y and…

Q: 7. (D² + D²)z = a²y²

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Q: Compute dx. X + 2 *+ C Ox-2in|x| +C + C 2+ 2x Ox-2injx + 21 + C + C (x + 2)2

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Q: 4 1+ w ? + jw6

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Q: 1" - 27+ v3 (x² – 1) (2+ ez) 7. Find D.

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Q: (#10) S V4x2+9 dx x4

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Q: (D3 + 7D2 + 19D + 13)y = 0

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Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

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Q: 16. (T/F) If A and B are 3 x 3 and B = [b₁ b2 b3], then AB [Ab₁ + Ab₂ + Ab3]. =

A: Given: A and B are  3×3 and let AB=Ab1+Ab2+Ab. To Find: Whether the following statement is true or…

Q: If x- /10 =11, find x-V10x. (a) 1 (b) 10 (c) V10 (d) 3

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Q: 10. (D² – 3D) y= 9x² = 9x2

A: 10) Given Information: Given differential equation is D2-3Dy = 9x2

Q: Show that п-2 Ag:1 = E :uk+'4æ + v"n-1Px• k=0

A: Given  Ax:n=∑k=0n-2vk+1qxk\+vnpxn-1

Q: Qe if xしz)= 0.5(マ+1) (し2) す! (そ-1)(マ-0.6) |

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Q: 22. (D³ + 7D² + 19D + 13)y = 0 ; y = 0, Dy = 2, D²y = −12 when x = 0

A: see below the answer and calculation

Q: 1 4. (1+2)y/ + 2ry = (1+2)y

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Q: Pind Parckial Fraction S+ 2un

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Y = -2X, then p(X, Y) = 1?

A: Solution

Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: dy If dz 3x - 3 and y(0) = 8, then y(1) %3D ---

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Q: Determine h if V = 1.1535 m³ and r = 1m using Fixed point iteration on the given convergent…

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Q: e2y (е) dy |19+ edy)

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Q: x3/2 9. J Tx+1

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Q: aff (² Find (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

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Q: x2 (C) S²_₁₁√x+2 -1 dx

A: To find ∫-17x2x+2dx