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

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

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

Q: g(x)dx = (5x? +2)° +C

A:

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

A: derivative

Q: f(x) = 8x-1 %3D f '(x) = %3D

A:

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

A: a) We have to find ℒte3t-sint+cost

Q: Consider a pizzeria that sell pizzas for a revenue of R(x) = ax and total cost of C'(x) = b + cx +…

A: Given R(x)=ax ,C(x)=b+c x+d x2 a. profit P(x)=R(x)-C(x)                   =ax-b-cx-dx2 b. P'(x)=…

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

A:

Q: This answer is incorrect, could you please attempt it again?

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: A dog is walking in a straight line on the road looking for bones. The dog is attracted to the smell…

A: The function x(t) indicates the position of dog with respect to time, t. So, the velocity of dog is…

Q: c. g(x) = (10 – 2V)(3lnx + x³) Answer: g'(x) = , Sinx d. y = 6+0.5x2 (do NOT expand) Answer:

A: Derivative of given function

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

A: using property of definite integration

Q: 5. If X any Y are sets, then X-Y= {r€ X: 1¢Y} If X is open set and Y is closed set. Prove that (a)…

A:

Q: f (x) = 3.x5 5x3.

A:

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: Given that f(x) = 4x+9 and g(x)=x°, find (fo g)(-5). (fo gX-5)-

A:

Q: If g(x) = f(x) + h(x); find g'(x).

A: Topic = Derivative

Q: If h(x) = f(x) – g°(x), f'(x) = -9(x) and g'(x) = f(x), then h'(x) is: %3D

A: The solution of the problem is given in the next step.

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.