h that y(t)=x(t)h(t) (1

Q: Consider the function g(t) = 2t2 – 2t.

A: g(t) = 2t² −2tdifferentiate with respect to t,g'(t) =4t -2 Therefore g'(t) =0⇒…

Q: y(t) is incorrect

A:

Q: Use the graph to а. state the absolute maximum and minimum b. local maximum and minimum values С.…

A:

Q: Let V(t) = t – 6t + 8 represent the velocity after t seconds of an object in meters per second. (a)…

A: we haveV(t) =t2-6t+8

Q: The function g(t) = \t| is differentiable at 0. True False

A: Given that g(t)=|t|We can write it as:g(t)=t   , t≥0-t , t<0

Q: Show that (A − B )T = AT − B T .

A: Given  (A − B )T = AT − B T

Q: function.   r​(t)=(square root)t+4i + (t/t+9) j−e^

A: We fneed to find the derivative

Q: x(t) = ?

A: Given: x'=3-22-2x+12e-t comparing this by  x'=Ax+b The homogeneous solution:…

Q: 5. [10 points] Find the general solution y"-6y' +9y = x*e*

A:

Q: t².edt J (P)

A: Solve the following

Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

A:

Q: 49y" — 42y + 5y = 0, and - y(4) = 4, y'(4) = 1. y =

A: 49y''-42y'+5y=0, y(4)=4, y'(4)=1 Auxiliary equation 49m2-42m+5=0

Q: Differentiate. g(t) =  5 − 7t 8t + 9 g′(t) =

A: solution: the objective is to find the derivative of the given function

Q: 6. FinD F(S) if f(t)= t· cost

A:

Q: Find y as a function of t if y(0) = 5, y(0) = 3. y(t) = 36y" - 84y +58y = 0₂

A:

Q: Complete the parametric equations for the line where the planes 2x + z = - 3 and 2x3z = 9 intersect.…

A: Given equation of plane is 2x+z=-3 and -2x-3z=9

Q: 2. Let f(x) = 2x – 4 a) Find f(x)dx

A:

Q: Differentiate the function. h(t) = √√t - 7et -6 (F) h'(t) = -7e² =-- (1) t

A: The given function is: ht=t7-7et   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power…

Q: let f(t)= t4 e3t . Find F(s)

A:

Q: ind the general solution of the given system of equations. 1 1 4 x' =| 1 4 1 x 4 1 1

A:

Q: Solve the given initial value problem using the method of Laplace transforms. Sketch the graph of…

A: