The integral of t²In t with respect to t is; 13 A -(3ln t – 1) + C B none of the given choices -(31n t+ 1) + C D 3 (3ln t – 1) +C - 13 E (In t– 3) +C

Q: Q6: Find A-1 where A [1 -1 3 6 12 1 0 -2 4

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Q: 3. For the function g(x) = x³ – 2x? – 11x + 12, use long division to determine whether each of the…

A: we devide the polynomial by given factor and if we get remainder zero then this given factor is…

Q: |(6t2 – 4t + 3) dt

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Q: Evaluate 3z2 + 4x + 2 is negative. 3z? + 4z + 2 is an irreducible quadratic since the value of b² –…

A: Given

Q: 6x + 5 > -2(x – 3) – 25

A: 6x + 5 > -2(x-3) - 25 6x + 5 > -2x + 6 - 25 Add (2x) on both side 8x + 5 > -19

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: 4 |(3t2 – 2t + 5) d

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Q: Find L{t?e-4t - e-2tsin (v2t)}

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Q: compute (2A)T − (3B)T

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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 mzHGI.

A: Our Aim is to determine the angle HGI=?

Q: 1 3x³ + 2x² + 3x +3 Г x2 + 1 0 A В СО с D 7 2 + In 2 7+1 2 4 71 16 71п 48 dx -

A: To solve this kind of integral we need to find terms in the numerator that are common to the…

Q: Stan and Ollie work on the integral J2x(a* + 2) di. Stan lets u = x? + 2 and proceeds to get (x + 2)…

A: Since, we have been given that Stan and Olie work on the integral:-∫2x(x2+2) dxIntegrating the above…

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: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: Find the QR factorization of A = R = Ex: 1.23 0 -1 -4 -2 0 0 3 1 0 given Q 0 -0.24 -0.97 -0.99 -0.12…

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Q: Evaluate x +3 dx (x – 1)(x² + 25)

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Q: Evaluate the integral (2a+4)(x² + 4x + 2)*dx 4 by making the substitution u = x+ 4x + 2. ,2

A: Let u=x2+4x+2, now differentiate it with respect to x. du = (2x+4)dx So,…

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

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Q: 5л — 2 dx x2 +1 10.)

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Q: Find x. A (2x – 15)* (2x 15)° - C

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Q: .2 2 S²6²³ (2x + 3y) dxdy 0 Find

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Q: 3. What is the value of ? B (9 - 40)" (2t - 3) A D

A: We know thatangle measure=arc measure

Q: Multiply (x+ 1) (x – 1) O x² - 1 O x² + 2x + 2 O x² + 1 O x2 - 2x - 1

A:

Q: -2 t Evaluate √5+² dx

A: Given integral is,To find : The solution of Integral.Integration rule used :where  is constant.

Q: Show that |Aut(Z2 × Z2)| = 6

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Q: Find xy² Una -dA, R= [0,4] × [-2, 2] x² + 1

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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: 1 [(3x)2-1]2

A: We will use partial fraction to solve the integral

Q: E Show that x'+ 3x+ 2 has 4 zerosin Ze

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Q: Find the J(2x + 1)³ dx

A: