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Q: s-4 s+1 2. L(sin 2x + e2x+3) = . s²+4 s-2 Hint: e²x+3 = (e2x)(e³) -7s*+2s²+24 3. L(x* + x² – 7)

A: L{ eat}  = 1s-a    ,  L{sinat} = as2 + a2,     L{xn} = n!sn+11. L( e4x + e-x + x2  ) =L {e4x} + L{ e...

Q: 1. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cos...

A: Solution:-As per guidelines I submit first question only

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Q: this response. Quèstion 16 a +b -1 If 0 a then 0 5 a = -4, b= 5 0=5 b = -2

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Q: 1. Use a two-column proof to prove the equivalence below -(P V-Q) v (-PA-Q) = ¬P

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Q: Solve the following initial value problems (a) +8y-9y-0 (0)-1 (b) +V-2y- 3t (0) -0 v(0) 1 %3D

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A: Here given 3x + sin(x) - ex = 0Let  f(x) = 3x + sin(x) - ex ∴ f′(x) = 3 + cos(x) - exx0 = 2.5

Q: eiz 0o cos x dx? cos z Can you use - 1+ z2 instead of - 1+ z2 to obtain the integral for Jo 1+x²

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Q: Let U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {3,4,6,7,8,10,11} D= {1,3,5,6} Find...

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Q: A. Which of the following are true statements? a. Is (0, 1) = (0, 1)? b. Is (0, 1) = (1, 0)? c. Is (...

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Q: 1. Consider the differential equation 4y" + 3y" – 5y' + 12y = 5u" – 4u' + 2u Find the input matrix o...

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Q: The sum of three numbers is 87 , third numbers 9 more than the first . Second number 4 times as many...

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A: Part a) For decentralised system,  Underage cost=selling price-cost price= 65-40=$25  Overage cost =...

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Q: 2. Use the Intermediate Value Theorem to show that 2.x 3 - if – 3 0 has a zero on the interval [-2,...

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