2. Evaluate each of the following: 4 (³7) (117) 6 (a) tan (b) csc (c) sec (d) cot (47) 3 (137) 4

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A: Use the algebraic substitution to evaluate the integral. Assume I=∫2x3x2−14dxLet…

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Q: 3. (а) Simplify: (b) Evaluate part (a) above when a = 1, b=6 and c= 1 4

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Q: 13 12 2.

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A: The integration of the integral x√(x-1) limit from 1 to 5.

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Q: Evaluate: S (5 — 2 sec 0 tan 0) de - O 0.79 0.68 O 0.95 0.84

A: ∫π6π4(5-2secθtanθ)dθ

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Q: 1. Simplify the following: (a) (EUF)n (FUG) (b) (EUF)n (ECUF)n (EU F°)

A: We know, Law of set theory as, i) Commutative: A ∪ B = B ∪ A, A ∩ B = B ∩ A. ii)Associative: A ∪ (B…

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A: We have to use Linearity  property of the Laplace transform: Lf(t)±g(t)=Lf(t))±L(g(t)           and…

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A: The given expression is 6x43x23. Simplify the expression. 6x43x23=6x4-233

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A: The given integral is ∫0∞4e-2xdx

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A:

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A: To write the first trigonometric function in terms of the second for θ inthe given quadrant.,  in…

Q: (イi5)?

A: To verify :  Log1-i32=Log1+i3

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A: Explanation of the solution is given below...

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A: I have appended the formula used in the solution part.

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A: Since you have posted multi parts questions but according to guidelines we will solve first three…

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A: As we know i = √-1 Thus i2 = -1 i3 = - I i4 = 1

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A: Here we have to evaluate given integral.

Q: Ex. 1: Simplify the following, then evaluate: a) 5 x5-3 b) 47 47 c) (2*)º d) (3)* (3) x(-3) e) f)

A: a)    53×5-3 = 5[3+(-3)]         ( ax×ay=ax+y, if base is same you add power )…

Q: #4 GIVEN THE 15 NUMBERS BELOW: 50, 50, 52, 55, 60, 60, 60, 65, 66, 66, 70, 72, 75,75, 80 FIND: (a)…

A: Give: We have the following data: 50,50,52,55,60,60,60,65,66,66,70,72,75,75,80 Since the data is…

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Q: Evaluate the following Legendre symbols: (1) (151) 99 G (2) 101

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