For the intial value problem: y'+tys =tan(t), a) Find: f(t, y) t interval is tan (t)-ty y interval is y(6) = 9 b) Find the largest open rectangle in the ty-plane on which a unique solution of the initial value problem above will exist. 0 of and Submit Question 08 00 (Enter oo for infinity) dy ) q 08

Q: 14. ) -10 < 4t- 2 s 6

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Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: 2(x + 1) = 10

A: GIVEN: 2(x + 1) = 10                 x + 1 = 5                 x = 5 - 1                 x =

Q: 8. Find the first four terms of (2a - 1)¹0. What is the coefficient of a³?

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Q: Vx2 – 1 2

A: ∫x2-1x2dxIntegrate by parts ∫fg'=fg-∫f'gf=x2-1, g'=1x2f'=xx2-1,g=-1x

Q: Expand (-3x + 11)(-4x – 9)

A: We have to expand the given expression.

Q: 4. 1+x+x* dx 1+x2 34.

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Q: 1. Solve for X 3x 75 = 1+ ( =) а. 5 + 12 60 b. 500,000 = (7+ %3D 12,

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Q: 37. lim 1+2e

A: Topic - limits  We are given limx→∞1-ex1+2exand we know thatlimx→∞ex=∞andlimx→∞1ex=0

Q: 3 125 3) = 5x 6. - 3 4,

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Q: 6. If z> 1, then N 1 - T || 1 H H + ....

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Q: s+1 l(s?+2s+2)2)

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Q: (8) y=x +5 -6 -5 -2

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Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: 1. ²-4 Difference of squares

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Q: Solve for x. 2 olve for x. 15

A: Problem 1 Formula to be used AB×AC=AD×AE

Q: 4 2x+x*/x-1 2. Evaluate S 2 1

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Q: L-1 (s+2)²+3 2.

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Q: 8. 2x + 21 < 11

A: Solve inequality

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y&gt;-x2-22x-y ≥-3

Q: 10 dx (x- 1)(x2 + 9) 3.

A: Given,  ∫ 10x-1x2+9dx

Q: a. (f+g)(-4)

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Q: 8. Find YZ. 1 +1 19-31

A: Given: WXYZ is a parallelogram. And WX=11x+1YZ=19x-31

Q: 20. Solve for x. 27 x + 10 18

A: Intercept theorem states that if a line segment divides two or more parallel lines into equal parts,…

Q: 11x + 1 W

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Q: 4x+1=-36

A: Given,         4x+7=38

Q: 4 (x- 2) > 3-5

A: Consider the inequality  6.           4-(x-2)&gt;3-5

Q: 3(c) please

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Q: 2- 4x - 12 =0

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Q: e x + > 2 , x 0

A: The given equation isx+1x&gt;2x≠0

Q: 20 41. Find ²k²(k − 3). (Use Table 2.)

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Q: = 55. Determine the value of n if (5)

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Q: j2 -j3 2 Determine 1+j)

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Q: . n &gt; 5 only if n &gt; 7.

A: Given that n&gt;5 only if n&gt;7

Q: Show that [-3,0]| = |[-2, 7].

A: We say two sets have the same cardinality if there exists a bijection between the two sets.

Q: 7.) -3- %3D 10 2'

A: .

Q: - 0.5 - (- 2 + 하) 14

A: Given: -14-0.5--2+710

Q: 12>m+3≥– 17

A: Given query is to find the solution of the inequality.

Q: x -8 = 0 +12x

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