Consider the following two equations. уд Find the values of x for which f(x) = g(x). a.

Q: I find (fo g)(x) by replacing each occurrence of x in the equation for – with,

A: To find:                    (f o g)(x):   We know that this is the composite function;   So,…

Q: Find the R.M.S. value of xe* as x varies fromx =1 to x = 3.

A: The given data is: To find the R.M.S value of xex as x varies from x=1 to x=3

Q: Solve the following 2nd order D.E: y'' + 2 y' = x^2-e^x

A: given ,         differential equation,   y''+2y'=x2-ex

Q: I find (f ∘ g)(x) by replacing each occurrence of x in the equation for_____ with______.

A: Consider the function (f∙g)(x) which means the composition of f of g. It can be written as f(g(x)).…

Q: Q12: What is the formula of The general solution for a D.E. with variable coefficients about…

A: Given x0 is an ordinary point of the differential equation.

Q: Given that g(x) = 2e*+5 + x+8 1 what is the anti-derivative of q(x) ? (Do not include the constant C…

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Q: e*y' = x – 2y

A:

Q: .Solve the following D. E y" + y' – 2y = x³ +x

A: y"+y'-2x=x³+x

Q: Find the first, second and third derivative of the given function. -4 7. f(x) = (t+2)?

A:

Q: 10. Find the derivative of y = V3x + 2. c) d) 3x a) 2V3x+2

A: Using derivatives

Q: Q1:- A) solve the following D.E x + x*)»' -3y = 0 1 x?y" + В):- у" + у' — бу %3 8e3х

A:

Q: For the pair of functions, find the derivative of the composite function f(t(x) in terms of one…

A: Given,

Q: Differentiate the expression with respect to x, assuming that y = f (x). ey/x

A: Given, y=eyx

Q: Find the first and second derivatives of the functions

A:

Q: (b) Solve N +e*f + (1+x*)y = 0, %3D near x = 0, if y(0) = 1; y/(0) = 0. %3D

A:

Q: Find the general solution of the equation xy' = ky that is valid for x > 0.

A: We have to find y(x) for this equation which is valid for x>0. We use integration to solve this…

Q: Find the indicated derivative. q2 + 2 59 - 2 dp for for p = dq g* +2 p 5q – 2' q. dp dq

A:

Q: Find the first and second derivatives :- f (r) = pr2

A: The given function is fr=pr2

Q: Prove the following equation: b f(x)f'(x) dx =

A:

Q: (D² + 1)y = sec² x csc x X cSC X

A:

Q: 3. Find the second derivative of f(x) = 2sin²(3x) а. 36сos? (3x) — 36sin? (3x) b. 36сos (3x) —…

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Q: Which of the following functions y is a solution :of the DE (1-x)y"+xy'-y=D0 ? Select one А. e2х В.…

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Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

A:

Q: Find f(x) by solving the initial value problem. S f'(x) = 9x² – 6z +5 f(2) = 23 %3D Answer: f(x) =

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the first and second derivatives of the given function. f(x) = e *(3 + 3x)? Calculate f'(x).…

A: The given function is fx=ex3+3x2

Q: 3. Solve the following equations by using variation of parameters methods: a) y" - 2y' + y = e* ln x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The derivative of the given function is y = 2(32x)

A:

Q: 6e + 4 Find the derivative of g(x) 10r5 + 5x3 %3D = (z),6

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: Determine the r values for which the f unction y(x) is solution of the x² + 1 equation y – 2xy? = 0

A: We have to find

Q: Given f(x) = 3 x² – 2 vx , which of the following expressions will represent the first step when…

A: Given,          fx=3x2-2xWe know that,          The derivative of a function, fx using the…

Q: Find the derivative of t2 + e3t e(t²+1) f(t) = %3D

A:

Q: Solve for the DE equation associated by the given function: a. y = Ae2x + Be* + C. b. y = Ce3* +…

A: First we will find the roots of the Auxiliary equation corresponding to the differential equation…

Q: 12. Find the derivative of the following function. y = 71n(x -4) a. x3-4 b. Зx? х* c. d. 21x?

A: To find the derivative of the below function.          y = 7ln[x3 – 4]

Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3

A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

Q: For what values of a, does the function z = x°e¯i satisfy the equation Y Zyy = Zx – Zy ?

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Q: y = (1+x)² 2 x² 2

A:

Q: Solve the following equation for x, assuming that the value of the parameter a is such that a…

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Q: Suppose that z is inversely proportional to y, and that z = 12 when y =16. Write an equation that…

A:

Q: I find (g ∘ f)(x) by replacing each occurrence of x in the equation for_______ with_________

A: The meaning  of "g" of "f" (g ∘ f)(x) means gfx That is replace each occurrence of "x" in the…

Q: What is the derivative of y = (a^3 - 25)/ (a^2 +5a +25)

A: we have to find the derivative of the given expression    the given expression is…

Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

Q: Solve the following equation. | (2t – 6) dt = 0

A: Recall the rule of integration: Integral of xndx = xn+1

Q: Which of the following is a solution to xy' + y + x*y*e* = 0 ?

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: y+1 =xy- all selutions ?

A: Given y+1=xy'-y'2

Q: Find all the higher derivatives of the function f(x) = (3x+7)°. TATER P'(x) = P'(x) =] p"(x)=

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Q: Find the first and second derivatives of the function. g(t) = (3t2 - 3)2 (8r?) %3D

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Q: y = (x² + x + 1)²

A: