Consider the following IVP y = x+2y, y(0) = 0. The third successive approximation (v3) of the given problem is y' =x+2y, y(0) =0. a) y, (x)=. 3 + 6. b) y, (x)=x² c) y,(x)- d) y,(x)= + %3D

Q: If F(x) = f(g(x)), where f( – 4) = 9, f'(– 4) = 6, ƒ' (2) = 1, g(2) = – 4, and g'(2) = 8, find…

A:

Q: If f' (7) = 0 and f"(a f has Select one:

A:

Q: Verify that g'(x) 1 where g(x) = v2x – 3. %3D V2r – 3

A: Giveng(x)=2x-3.To verify g'(x)=12x-3  is the derivative of g(x).

Q: 14. x2 – 2x – 8 <y

A:

Q: on y=1-x+y=xy given that y(0) = -3

A: Given differential equation 12y' = 1 - x + y - xy Given that y( 0 ) = -3

Q: If g(t) = 4t – 2t², find %3D - g'(3) =

A: To find g'(3) , first we will differentiate the given g(t) and then put t= 3 to get the required…

Q: A manufacture of compressed gasses is looking at new legislation that would require it to reduce the…

A:

Q: on f(x, y) = 3x + 9y subject to th %3D

A:

Q: (4x + 1)2 x2 - 5 Find S' if s = s' =

A:

Q: Which sets are equal to the set (a, b, c)? {b, b, b, x, x, x, C, C) {b, b, b, b, b, c, c, c, a, a)…

A: What is Set: Set is the language of mathematics. Through set, we can define mathematical expressions…

Q: A. Н(1)# Н(») — F(G(«)) в. Н (1) # Н(») %— F(G(»)) с. Н(1) t H(2) 3 G(F(#)) D. H'(1) if H(х) %3…

A: Given: F(1)=2, F'(1)=5, F(4) = 7, F'(4) =1 and G(1)=4, G'(1)=2, G(2) =6, G'(2)=6

Q: If f(x) = (2x – 1)(4x + 5), then a. f( – 1) = b. f'(– 1) = | c. f''(– 1) =

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 1. If y = In(V x² +1 ) , then y' = 2x (b): 2x (a) x² +1 3(x2 +1) () 3(x2 +1)-2/3 (d) 3(x2 +1)

A: y=lnx2+13⇒y=lnx2+113⇒y=13·lnx2+1   ∵lnxy=ylnx

Q: 3. Find f (x). 2 f "(x) = 18x –- f(1) = f '(1) -

A:

Q: Solve the following SLP y" + ly = 0 y(0) = y(1) = 0

A:

Q: ) (2х +1) 3 —) (х+2у) — 1,. - 4x + 2у.

A:

Q: 16. For a particular object, a(t) = 2t2 + 9 and v(0) = 1. Find v(t). v(t) =

A:

Q: 2 2)If f (x) = x² + 2, g(x) = x + 2, and h(x) = find x +1 (f°g°h)(x), ii. (f°h°g)(x)

A:

Q: -x-3 F(x) = S (5t + 2) dt

A: According to question given thatF(x)=∫x3x-35t+2 dt

Q: If f(x) = (2x – 5)(3x + 5), then - a. f(1) = b. f'(1) = %3D

A: Solution -  Given function is as -  f(x) = (2x-5)(3x+5)we can expand it further - f(x) =…

Q: Solve the problem. Find C(x) if C'(x) = 5x 2 - 7x + 4 and C(6) = 260. 7 A C(x) = x 3. x 2 + 4x - 260…

A:

Q: For the difference equation given by y(k + 1) + y(k) = 3 (1/2)k with y(0) = 1 %3D Find the…

A:

Q: (10) Solve the given BVP by using Green's function: ; (ii) y" – y/ = e2; y(0) = 0, y(1) = 0

A: Given differential equation is: y''-y'=e2x y(0)=0y(1)=0 Green function in equation is given by:…

Q: 10) Given f'(x) = 3x+ 2x + 1 and f(1) 4, determine ƒ(x). %3D %3D

A: Given f'(x)=3x²+2x+1....(i) and f(1)= 4...(ii)

Q: The functions g(b, c, d) and h(b, c, d) are defined as: g = (b+ c+ d')' + (b' + c' + d') · (b' . c'…

A:

Q: 5) Use improved Euler method to find y(2) if y(1)=2 for dy xy!/3 %3D dx take h=0.5

A:

Q: 1. f(x) = 3x2 + 4 af (x) = 6x2 b. f'(x) = 6x2 +1 c. f'(x) = 6x d. f'(x) = 3x 2. g(x) = v3 – vt a.…

A: To find the derivative.