Let T = min{t: W(t) = 3 – 5t}. Find E(T).

Q: y(t) is incorrect

A:

Q: Find L[f (t)] where f(t) = eat and a = constant

A: Solve using Laplace transferom

Q: If g (t) = 2t³ + 5t², find all t for which g' (t) = 0. t

A:

Q: S(t) is a function which gives the depth of the snow (in inches) on the ground t hours after…

A: S(t)=S(10)+S'(10)(t-10)

Q: Consider the function f (z) = e²z.

A:

Q: Use definition find L{3t} 8 -Sª L{f(t)} = e-st f(t) dt to

A:

Q: Find g′​(t) for the function ​g(t)=8/t3.

A: The objective of the question is to find the derivative of the function g(t) = 8/t^3.

Q: Show that (A − B )T = AT − B T .

A: Given  (A − B )T = AT − B T

Q: Evaluate the convolution, f(t) * g(t) = 8t*e', then evaluate at t = 2.

A: If f and g be two functions that are piecewise continuous on every finite closed interval 0≤t≤b and…

Q: If L(f(x) – 2g(x))dx = 12 and g(x) = x, find f(x)dx. Hint: draw a sketch of g(x)! %3D

A: We have ∫28(f(x)-2g(x))dx=12g(x)=xWe have to find∫28f(x) dx

Q: g(t) = (t – cos t) sin t. Find g'(t). s

A:

Q: Show that log, (Vx + Vx – 1) + log.(Vx – Vx – 1) = 0.

A: To show that logax+x-1+logax-x-1=0. Solution: We know that, logm+logn=logmn Simplifying the left…

Q: t².edt J (P)

A: Solve the following

Q: Let​ f(t) be the temperature of a cup of coffee t minutes after it has been poured. Interpret…

A: Given, temperature of coffee at t minutes is f(t). Temperature at 9min, f(9) = 110 degree f'(9) =-7…

Q: Find F(s). L{t12e-6ty F(s) = =

A:

Q: When is f (t) increasing at the greatest rate?

A:

Q: Differentiate g(t) = -8/t .

A: Known fact: ddxx=12xddxkfx=kddxfx

Q: Suppose a car’s value depreciates according to the model V(t)=24(4/5)t Find the exact value of r…

A:

Q: f(t) = 1-2t 1 + 2t

A:

Q: Find F(s). F(s) = L{te 13tz

A: I have explained everything within the solution. Please go through that.

Q: For the function f(x,y) = e9xy, find fx and fy. fx = ? fy = ?

A:

Q: Let y be a function such that y(1) = -9/4 , where Y(s) = L {y (t)}. If it is known that:…

A: