What is the inverse Laplace Transform of a function y(t) if after solving the Ordinary s2-s+3 Differential Equation Y(s) comes out to be Y(s) = (s+1)(s+2)(s+3) -t 3e-2t - b) 글e-t + 을e-와 9.-2t 3e-3t - -t 3-2t 3e-3t - - d) 글e + 을e2-3e3t |

Q: Let H(x) = F(G(x)) and J(x) = F(x)/G(x). Suppose F(4) = 9, F'(4) = -7 G(4) = 3, G'(4) = 0 G(-6) = 4,…

A: Given H(x)=F(G(x))H'(x)=G'(x)*F'(G(x))J(x)=F(x)G(x)J'(x)=G(x)F'(x)-F(x)G'(x)G2(x)

Q: First, use the substitution y₁(x) = e-5x. Y₂(x) = u(x)y₁(x) u(x)e-5x = Then, use the product rule to…

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Q: If h(x) = f (g(x)), where f(0) = 7, g(0) = - 1, f'(0) = 0, g'(0) = - 3, f(- 1) = - 3, g(- 1) = 2,…

A: We have hx=fgx

Q: Suppose that f has an inverse, ƒ(2) = 5, and f'(2) = What is (f~')'(5)? %3D

A: (a) Given that f has an inverse, f(2)=5, and f'(2)=-34 As  f(2)=5 so, f-1(5)=2

Q: The derivative of h(y) = (2y² − 3y)˚(y + 6)² requires the product rule and is given by h'(y) = (2y²…

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Q: Find the derivative of 3 -8-5-5 6 -2 0 5-5 1 f(x) = det-1 0 0-28 %3D X -6-9 1-3 0 0 0-4 O A-…

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Q: f (x) You are given h(x) = f(g(x)); p(x) = f(x)·g(x); q(x) = g(x) and the following values f(2) = 1,…

A: Given : hx = fgxpx = fx·gxqx = fxgx

Q: If f(x) = 4e e 2(e - 1) 2e ľ e²² dt, then f' (1) = 0

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Q: 23. By suitably renaming the constants and dependent variables in the equations and T'=k(T-Tm) G' =…

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Q: Find the exponential functions of the form f(x) ab* that pass througl

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Q: If f(t)= et and g(t) = 5t² - 2, use the chain rule to find the derivative of y = f(g(t)). y =…

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Q: Let 2² + y? = 1 and y(0) = 1 Then y'(0)= none of the listed here 1 -1

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Q: If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

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Q: 7. In class, we learned about the predator-prey system of differential equa- tions. Here's a system…

A: Given system  using mice  and hawks  with t measured in days

Q: 27. Let g be a function such that g(y) > 0 for all y. Which of the following could be a slope field…

A: ( If you want more explanation please let me know).

Q: f(3) = 5, g(3) = -4, f'(3) = -2, g'(3) = 7, f'(5) = 3, g'(5) = 10 a) If h(x) = f(x)g(x), find h'(3).…

A: topic - functions and derivatives

Q: Calculate the derivative of the function r(t) i+ cos' (61)j + lIn (2t³)k. t - 2

A: Given : r(t)=-5t-2 i +cos-1(6t)  j +ln2t5 k We have to calculate the derivative of the given…