If a and b are nonzero real numbers and t be a real variable, compute for the integrals J I₁ = eat cos(bt)dt and 12 = eat sin(bt) dt. Compute for I₁ - iI2 then compare the real and complex values.

Q: 4. Let B = {1, 2, 3, 4, 3, 2, 1}. What is |B|?

A: We will solve the following

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Q: Let 4; = {0, i} . Find U4, and N 4. i= 1 | A;. i= 1

A: Given :  Ai =  0 , i    To find :  The union ∪i=1∞ Ai    and the intersection  ∩i=1∞ Ai   .

Q: 2. Prove: A – B = ANB

A:

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Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

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Q: If A+B=X and A-B=Y then...?

A: System of linear equations,

Q: 1. Find P (AN B).

A: Here use basic probability rule

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A: A set X is said to be a subset of another set Y if every element of X is in Y. This is denoted as…

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

A: The answer is in step2.

Q: 6. Given i [2, – 5Jand i [- 7,2] find C.

A: Given v→=[-7,2]We know that magnitude of vector [a,b] is a2+b2

Q: 4. Let A

A: Given,                A=1, 2, a, b, ϕ

Q: 2.46. If P (2, 1), u = (4, 2), and ||v|| = 6, determine v.

A: To determine the vector v given that Puv​=(2,1), u=(4,2), and ∥v∥=6, follow these steps:1.…

Q: 2.    If SSbetween = 30, SSwithin = 40, dfbetween = 3, and dfwithin = 20, then F = ______.

A: Calculation:From the question you have posted, it can be assumed that the values relate to an…

Q: Evaluate for x = 1, 3, 5, 7 Σ 2 χ3

A:

Q: Let A %3D {1,2,3, 4}, В %3D {3,4, 5},С %3D {а, b, с}. Find A n B, A x С, В х С, (АnВ) х ( (Ах С)n (В…

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Q: Let A. B C+ Then b.1 AnB c A Ond An B CR

A: Note:- in given problem some points are missing you don't define any relation between R and A, B.…