Find L{(t – 1) (2 – 5 sin 3t)}. 2 15 15 + s(s² +9) s2 (s² +9) 5s 30s s2 +9 (82–9)² 2 15 15 s2 (s² –9) s(s2 –9) 30s 15 + g2 +9 (s2 +9)? | | |

Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

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Q: |(6t2 – 4t + 3) dt

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Q: 1 (x² - y²)² x+y valuate: ²₁₁² dx dy

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Q: 4 |(3t2 – 2t + 5) d

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Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: (213)(4*) Simplify (8+3) O t3 2 O 2t3 O 1

A: Solution:-

Q: PROB.NO. 4 VERIFY THAT (X - 3 )(X - 21) = (X - 21 )(X - 3) = Xx - 5X + 61 FOR [i 2 0] X =0 30 0 0 4

A: To verify the given expression is followed by matrix X .

Q: Find curl (82 i + 9x j + 6y k). curl (82 i + 9x j + 6y k) = = ( )k )i + (i )j + (

A: To Find : curl(8z i + 9x j +6y k)

Q: 6. (x – 1

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Q: 12. Find m/R. (&x - 12) (3x + 5)

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Q: 2sin(2x)=√3

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Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: (d) 2√2-7 = 16 x 22 X

A: given  2x-7=16 if ax=ay,  than x=y

Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

A:

Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

A: The objective is to show that ∫-∞∞ x2x4+x2+1dx=π3

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

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Q: Find 2 2 [²³²³ (5x + 2y) dxdy

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Q: Evaluate the following x4 + 4x³ + 7x² + 17x – 9 -dx | 1. x3 + 2x2 – 3.x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find all possible pairs of integers x, y so that 7x + 3y = 4. Then find which of these pairs makes…

A: Given:   7x+3y=4                        ........(1) We have to find all possible pairs of integers…

Q: |z|^2=12-|z

A: |z|2=12-|z| We need to solve for z

Q: 5s2 – 15s – 11 - - L- (s + 1)(s – 2)3

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Q: b) 2(x4+1)5 dx

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Q: It x² (n x)² dx = (a (1 x)² + bin x + c) + constant, then 23a + 96 +29 c = If -

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