Find the L(e2" (1+ t)²). ,2t a) + (s-2)* 1 b) + (s-2)2 2 (s-2)3 (s-2)2 c)+2 (s+2)³ (s-2)? d) + (s–2)³ Select one: O a. b O b. a O c.d O d. c + +

Q: The coefficient of gªy³in (5x + y)® is 54 . (C).

A: Here the given expression

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

A:

Q: (2.1) Perform the indicated operations: a) (6 m² – 3 m³) (2m + n) b) (5x + 7y) + ( -5x + 2y) c) (2x…

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Q: × if と-11616 tai g 2. Q3/hnd

A: To find x if x=16+16tan2θ. Solution: We have identity, sec2θ-tan2θ=1 So, sec2θ=1+tan2θ Solving the…

Q: Let A = {1}, B = {2}, and C = {3}. (a) Explain why A x B B x A. (b) Explain why (A x B) × C # A × (B…

A: Cartesian product: The cartesian product of the sets A and B is defined as the set of all the…

Q: -3(w+1)+8(w-3)=-5w+9+6w

A:

Q: -2 5. (6) ²K³) X 20 K ¹³ N 21-12/13 al- -3

A:

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: a). b).

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: 7. 8xly + 4x-4y-2 C. (2y + 1)(4x - 2) D. (2)(2y -1)(2r + 1)

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

Q: Select all expressions that are equivalent to (2n +6)(n+ 3). O a 2(n? + 6n + 9) 2n+ 6n +18 Oc 2n…

A: Given,  => (2n + 6) (n + 3)  Taking '2' common from expression , => 2 (n +3) (n + 3)

Q: 5 (b): Evaluate:

A:

Q: Simplify: (2-5)(2+5) 2(x+5) (z-5)(2-2) 4(x-2)

A:

Q: Jse the following functions to evaluate the next five problems. f(x) = 5x² + 3x h(x) = 2x + 7 %3D a)…

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Q: 7. Simplify and evaluate. (2x³y²)³ a) (x’y (9y)? b) for y=-2 (3y*)

A: Given: a)2x-3y23x3y-42b)9y23y-13

Q: If 2A=3B and 4B=5C  (i) A:C (ii) A:B:C

A:

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

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Q: а) 4(Зх — 5) + 2(7x + 3) = 8

A: topic - linear equation in one variable

Q: Find (a) c23 and (b) c32, where C = 5A + 2B,

A:

Q: Suppose that A = {b, c, d} and B = {a, b}. Find: Q6.1 (A × B) N (B × B)

A: A=b, c, d  and  B=a, b Now, A×B=b, a, b, b, c, a, c, b, d, a, d, b&B×B=a, a, a, b, b, a, b, b

Q: 1) (m-6m2-16m + 63) + (m – 7)

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Q: Solve for z: 2²-(3-2)=(57-5).

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Q: G1) 3C-2B CD BC

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Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-

Q: ele3++2) =

A: The following formulae are used in finding the Laplace transform of the given function.

Q: If n(A) = 105, n (A ⋃ B) = 142, and n (A ⋂ B) = 46, find n(B)

A: This question is about set

Q: (2). 2 Z√2 5

A: Solution: (z√2)5/(z√2) = {z5(√2)5}/(z√2)                         = z4(√2)4                        =…

Q: What is the product of (5x +4)(4x- 4)? O 162- 16 O Orange O 20x- 4x 20r2 16 20x + 36x - 16 ОООО

A: We are given the expression (5x+4)(4x-4) and we need to find the product

Q: 2s L-1 ;2 – 3 | 2 cosh9t .b бсosh9t .c 2 cosh3t 3. .d бcosh3t || 3.

A:

Q: 12υ(7+ 6υ2), dv

A: