Question 3 Evaluate the Integral |(4-3sin2p)+ cos28 dp. (A 30 -(4– 3sin2ß) $+ C B -(4– 3cos2B) 5+ C 30 (4– 3cos2B) 5+ C 30 (4– 3sin2B) 5+ C 30 D

Q: Evaluate the integral -9f5 dt /1² +2

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Q: Find an example for which (zc)d ≠ zcd with z ≠ 0

A: To find an example for which zcd≠zcd where z≠0 Now, for integers c and d zcd=zc·zc·zc····d…

Q: Evaluate L{t cos 4t} s2 +4 b) 52 – 4 s2 + 16 c) s2- 16 s2 - 16 d) s2-4 a) s2 +4 s2 +16 O a O b

A: None of the options are correct

Q: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

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Q: Prove that (1, 2) (1,(1), 2, 3).

A: We know, if A and B are two sets then, A is subset of B  if every element in A is also in B.

Q: 5. Determine the combination V x (Vf) given that X" + y"

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Q: L[sih bt) 2.

A: From the definition of Laplace, L(f(t))=Fs=∫0∞fte-stdtSo,L(sin(bt))=∫0∞sin(bt)e-stdt Let,…

Q: موضوع الدرس: Find the sewera (BY COS X + 4X +2x S * 6 ution of Jdx + (3 $ inx+3) dy ap

A: The given differential equation is         (3ycos x + 4xex + 2x2ex)dx + (3sin x + 3)dy = 0 We can…

Q: bläi 4 * find each of a,& b 3 - i 2 – 2i - If a + ib = 2+ 3i then 1– 5i' -

A: Given :         a + ib = 3 - i2 + 3i + 2 - 2i1 - 5i   To find a and b.

Q: Compute divF and curlF for F = -r°(y – 2)i – (2² + y^)j+()k. 422

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Q: Z2 in H = {0,4,8} find all left cosettes

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Q: Evaluate the integral. f(3x + (3x + 7)² dx

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Q: In(1+ 5.x?) 2 – 3x Differentiate with respect to x.

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Q: Prove c (A + B) = cA + cB   (c + d)A = cA + dA   c(dA) = (cd)A  IA= A

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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: Is Q closed over multiplication? (Y/N)

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Q: y (0, 2) (-5,0) a. - 5x + 2y = 10 b. 5x-2y 10 C. -2x+ 5y= 10 d. 2x-5y = 10 %3D

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Q: (x-1)2 (y+2)? What are the endpoints of the conjugate axis of 25 - 36 O (1 ± 5, –2) O (1, -2 ± 6) O…

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Q: Let H = {(1), (12)(34), (13)(24), (14)(23)}. Find the left cosets of H in A4 (see Table 5.1 on page…

A: Given H = (1), (12)(34), (13)(24), (14)(23) in A4 H =4and A4 =4!2 =12 So , Number of distinct left…

Q: Evaluate: (8t – 121 + 6)dt

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Q: 6/30° + j5 – 3 (а) -1+j+2ej45° (15 – j7)(3+ j2)* (b) - (4 + j6)*(3/70°) means you need to conjugate…

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Q: Evaluate (521 + 3z2)

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Q: [10 4 -1] Q1) Find AB if A =-2 -1 and B =0 2 -3 3 20 l10 -5

A: Given Matrix A=1004-2-12-3320 and B=1-10210-5 to multiply the matrix A and B proceed as follows…

Q: Find an example for which (zc)d ≠ zcd with z ≠ 0.

A:

Q: If gcd( m,91) = gcd(n, 91) = 1 %3D %3D

A: Given, if gcd(m, 91)=gcd(n, 91)=1,  To prove that                     91|m37-n37

Q: If / (7-4) (x + 8) 12 O 4 dx Adx - A+B 4 Bdx x+8' , then A+B =

A:

Q: -2 Evaluate the integral (6r +5)°dr.

A: We have to find the given definite integral.

Q: Evaluate L{cos² 3t} s² – 18 a) s(s² + 36) s2 – 18 b) s(s² – 36) s² + 18 c) s(s² + 36) s2 + 18 d)…

A:

Q: 1. (а) 52x $* (b) 3' x 32 - 5 2. (a) k* x k? (b) m³ x m 3. (а) у к (-у") (b) -x (-)

A: Given: 1.(a)52×56  (b)33×332.(a)k4×k7   (b)m5×m9   3.(a)y2×(-y10)  (b)(-z3)×(-z4)

Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: homogenous DE 3udv-vdv-udu-vdu=0

A:

Q: The annihilator operator form for the function e + cos(2x) is:

A: The annihilator operator form for the function ex+cos(2x) .

Q: Calculate GCD(x3 + 2x2 + 3x , x2 + 3x + 2) in Z5 [x]. What is wrong with my answer? The correct…

A:

Q: 1. Multiply. x' x x a. 5x'z x- 2xz2 - 4xy x-3x'yz g. 2a'b'c x 2abcd C. e. of

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

Q: Express −i+j in the form [a,b]

A: Simplification