3. Solve the initial value problem, - [ x' (t) = 1 0 1 2 2 2 x(t) 13 x(0) = 2 [1]

Q: If f(x) + x2[f(x)]ª = 18 and f(1) = 2, find f '(1). %3D f '(1) =

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Q: Given that g(2)=4 and g'(2)=3, what is the value of h'(2) for the function h(x) = In(g(x))? O 4/3 O…

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Q: Find the equation of the tangent link to f(x)=x³+x²+x @x=3 A y=34x-63 B D y=-12x-36 y=12x-36…

A: 20) The function is  f(x)=x³+x²+x  Note:- As per the rules, we are supposed to answer the first…

Q: 3. Find g if g'(x) = 8x(x® – }) and g(2) = 3. %3D %3D

A: We will find g.

Q: Solve the IVP g'(x) = (x² - 2x + 3)e-, and g(0) = 0.

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: 3. Given f(4) = 1, f'(4) = 3, g(4) = -2, g'(4) = -5. %3D %3D If h(x) (2x3+1)f (x) Vxg(x) calculate…

A: Given that, hx=2x3+1fxxgx Differentiating with respect to x we get,…

Q: If ƒ(4) = 3 and fƒ'(4) = −5, find g'(4) where g(x) = √xƒ(x).

A: To find g'(4) where g(x) = sqrt(x).f(x)  also given f(4)=3 and f'(4)=-5Derivative using product rule…

Q: 1, -1 X'=1 3 0 0 2

A: The given differential equation is  dXdt=1-1-1131002X The general solution is of the form…

Q: an initial investment of 1500 thousand dol ollars at the end of each of the next two qua The…

A: Given: Initial Investment=$1500000 Further investment=$250000 (Quarterly) Operating cost=$120000…

Q: If h(x) =/4+3f(x), where f(1) = 7, and f'(1) = 4, find the value of h'(1).

A:

Q: 16) g(x) = 4x - 5 s(x) = x' + x² Find (g + f)(-2)

A: Given,      g(x)=4x-5      f(x)=x3+x2

Q: f (x) You are given h(x) = f(g(x)); p(x) = f(x)·g(x); q(x) = g(x) and the following values f(2) = 1,…

A: Given : hx = fgxpx = fx·gxqx = fxgx

Q: Solve the following DE t''-3t'+2t=3-4x; t(0)=1/4 , t'(0)=3

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Q: 6 3 Find h'(t) if h(t) = 5/6 ¯ ,1/5

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Q: If g'(8)= 6 and h'(8)= 17, find f'(8) for f(x) = ,9(x) f'(8) = (Simplify your answer.)

A:

Q: If fx)=5x-1, g(x)=1/x, and h(x)=g(fx)), then what is h'(0)?

A: Given that h(x)=g(f(x)) Using chain rule we get: h'(x)=g'(f(x))f'(x) We plug x=0 So,…

Q: Assume f(7) = 0, f'(7) = 14, g(7) = 1, and g'(7) = . Find h'(7) given h(r) = g(x)

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Q: f' If ƒ (1) = 1, ƒ' (3) = 3 and f" (x) = 4x - 4 find the constant term of the cubic function f (x).…

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Q: B1(b): Solve the initial value problem f'(x) = x11 + 12x + 14 and f(0) = 2.

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Q: Complete the sentence below. Iff is a one-to-one function and f(3) = 6, then f(6) = If f is a…

A: One one functions

Q: If f(x) = e + In(7), then f' (x) =

A:

Q: xeʼlin (2x+1)-2e ln(2x+2)=0

A:

Q: Given that f(x) = 4x +2 and g(x) = 9-x, calculate (a) f(g(0))= (b) g(f(0))=

A: Solution :-

Q: If f(4) = 3 and f'(4) = -5, find g'(4) where g(x)=√xf(x).

A: f(4) = 3  f'(4) = -5  g(x) = √x f(x)

Q: Given ƒ(7) = 3 and f'(7) = 4 find the value of h' (7) based on the function below. h(x) = (f(x))²

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Q: f  f(x) + x2[f(x)]4 = 18 and f(1) = 2,  find  f '(1).

A: