(c) f(t) = e e-2t cost MUCS Yp(t) (d) f(t) = (3t² +t) cos t MUCS Yp(t) :

Q: A tank contains 1900 L of pure water. Solution that contains 0.02 kg of sugar per liter enters the…

A:

Q: f(x) = 1– 2x – x2

A: Nothing is clearly mentioned here so i am solving it by considering that you want to differentiate…

Q: Find g'(5) given that f(5) = - 5 and f' (5) = 10. Enter the exact answers. (a) g(x) = 6x² – 5f(x)…

A:

Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

A: derivative

Q: a) L{te3t – sint + cost} =? 1 =? b) L-'s-2)(s2+25-5)

A: a) We have to find ℒte3t-sint+cost

Q: f(t) = 2t2 - 5 sin(3t) %3D L{f(t)}

A:

Q: Find [3f(x) – g(x)]dx = i if f(x)dx = 5 and g(x)dx 10 %3D

A: See the details solution in below

Q: Solver: y(ln(x))dx+(1+2y)dy=0

A:

Q: f(x) dx = 18 and f(x) dx = 3.7, find f(r) dr.

A: using property of definite integration

Q: The amount of electrical resisitance (R) in a medium depends on the temperature, and for certain…

A: Determine the resistance equation by substituting k=30.

Q: A tank contains 300 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A: We will formulate a differential equation for amount of salt and then solve it to get Salt amount…

Q: Consider a lake of constant volume V (gallons) containing at time t (weeks) an amount Q(t) (grams)…

A: As per norms, we will be answering only first three subparts. If you need an answer to others kindly…

Q: rsin 28x /ī+ t² dt and If f (x) = So g (y) = ' f (x) dæ., what is g" (6s )? 168

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.