conside the initiai value pI -2 2t ý + g(t), T(1) = 2t2 4 Suppose we know that ýt) = | [. t +a -3t2 + B. s the unique solution to this initial value problem. Find g(t) and the constants a and B. 3= 1 S(t) =

Q: solve kx+12=kx for x i get confused on these

A: solve kx+12=3kx   for x  The above equation is correct as I did it in past and your equation does…

Q: Let f(x) = 3x – 1 and g(x) = x- 1. %3D Find (f o g)(-3). Then (f o g)(-3) =- (Simplify your answer.)

A:

Q: "The motion of a ball is modeled by the equation h(t) = -16ť² + 48t + 288 where t is measured in…

A:

Q: 7. Find the average rate of Change of f(x) = 2x2-7 on the interval [2, 2 + t].

A: Consider the given function, fx=2x2-7 At x = 2+t, f2+t=22+t2-7=24+4t+t2-7=8+8t+2t2-7=2t2+8t+1 At x =…

Q: 2- Solve the function for x e2x + 2e* +1 = 9

A: GIVEN: e2x + 2ex + 1 = 9

Q: Let two functions be f (x) = Ax +3,9 (x) = Bæ? What are the possible values of A and B if (f o g)…

A: Put g(x) in place of x in f(x) first

Q: Q2g If DF(x) = f(x+h)-f(x) for fixed h then find sh (ex-)) = ?

A: We have to find the △h(e2x-1).

Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

A:

Q: 14)- Consider the following formula f"(x.) = 4-4o+3f-1 _ 2hfm(c) 6h2 3 Find the optimal h.

A:

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: 1 If L{f(t)} 3s +2e-2s2e- determine f(t).

A: given L{f(t)}= 3ss2+2e-2ss2-2e-5ss2 f(t) =L-1[ 3ss2+2e-2ss2-2e-5ss2] =…

Q: #17. Solve |3x – 1| > 2 -

A: The answer is given below:

Q: ax? +b given f (x) and f' (0) = -4, what is the value of " bx+a

A: first we find f'(x) . see 2nd step.

Q: The position of an object moving along a straight line is given by the equation s = t³9t² + 15t +4…

A:

Q: h(t) if h(x) = 9x9 - 4x4 + 3x - 2

A: Given:- hx=9x9-4x4+3x-2 To find:- ht

Q: how do i solve the function   g(y) = 3 − 2y and find g(s + 5)

A: Topic = Function

Q: 3. The company TClothing has figured its average cost (in $) of producing and selling x units of and…

A: The company TClothing has figured its average cost (in $) of producing and selling x units of…

Q: 3. Given f(x) = x² +6* + Solve for (2) f(3) (b) f(x +3) Is f(x+3) the same as f(x)+f(3)?

A: The given function is f(x)=x2+6x+9

Q: - The equation f(x) = Inx-x +3 has a root in the interval (4,5). Obtain the roo correct to three…

A: Given function is, fx=ln x-x+3 in the interval (4,5) First iteration: Here f4=0.3863>0 and…

Q: Given f (x) = (2*)* and g (x) = 8*, algebraically find the solution(s) to f (X) = g (x).

A: NOTE: Refresh your page if you can't see any equations. . to find the solutions, compare both…

Q: - 1/5 Find (4) (n) for the function t(n)=5n 7/5 + 6n .

A:

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x < 4 а. 2 b.3 с. 0 d. 1

A: Given that: f(x)=3x2-12x+9

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.