Find the general solution of this ODE: d'y dt² +10- +21y = 2t² - 4+9e-4t dy dt The solution will be of the form: y(t) = Cy(t) + Dyz(t) + y(t) so use C and D as the arbitrary constants. y(t) =

Q: Calculate the tax of each taxable income of household 10954

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Q: synthetic

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Q: Given the exponential function f(x) = OA. 1 8 B. 8 OC. 1 6 O D. -) 8 -X , find the value of f(-3).

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Q: Find the orthogonal projection y of y = W = Span U₁ = || 2 [] Ex: 1.23 U₂ = 6 -2 onto the subspace…

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A: Given: f(x)=3x-15g(x)=2x2-6x-20 We are required to find: f(x)+g(x)f(x)-g(x)f(x)×g(x)f(x)g(x)

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Q: 8) Find the area. OB 10 miles 8 miles 20 miles A) 120 miles² B) 160 miles2 C) 80 m

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Q: 2 3 5

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Q: 4) Melissa opens a new savings account at her bank. On the first month, she deposits $20. Each month…

A: Amount deposited by the Melisa on the first month: A1=$20

Q: -1 1-2

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Q: 3. At Leah's current interest rate of 4.5%, how long will it take to double her $12,000 investment?…

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Q: Use Cramer's Rule to solve the system. 8x + 13y = 46 8x + 2y = 24 (x, y) = (

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Q: Perform the indicated operation where possible. -71 62 12) [23] + [23] 25

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Q: Solve the equation *+-+7 +2 x 3* Ox=-55 X= 6 Ox=-11 Ono solution x=7, x=-3 X

A: We will solve x+2x-7=x+7x+3.

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A: The given system of equation is:3x+y=36                               .... (1)-3x+y=36…

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Q: 6) A glass of water is placed into a freezer to cool. The time, in t minutes, that it takes for the…

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Q: 8. Let ƒ(x) = = 21/1/2 a) (fog)(x) c) (ƒoƒ)(x) and g(x)= 3x+1, find the following: b) (gof)(x) d)…

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A: The given function is:f(x)=x5-x3+3 ,            -1≤x≤1

Q: Find the missing terms in the following arithmetic or geometric sequences. a. 1, 8, 16 "

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A: a1=-14-3,a2=28-7,b=-10-83

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