8. Suppose f(x) = Vx – 3 and g(x) = x² + 5. Which of the following is a formula for (f° g)(x)?

Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0

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Q: 13. What is 2sinx cos x dx? TRONG A. +C In 2 C. 2 cos.x B. +C 2sinx In 2 D. In 2 14. Which of the…

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Q: y"+4y' + 3y = sin e*

A: Solving the differential equation by variation of parameters method

Q: Find the solution of the equation a²z a²z + cos y ax² dy² which tends to zero as x→∞ and has the…

A: Given partial differential equation is ∂2z∂x2+∂2z∂y2=e−xcosy. It can be written as follows…

Q: Q1: Find dy/dx for the following functions (solve four only):- (1)5 + 5*y = In sin- e* (4) y =…

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Q: Find the general solution of the following first-order ODE xy' = y + 2x3 sin?

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Q: You tart muesting at t=0 y co) =0

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Q: 2. Eliminate the arbitrary constants of the equation below, where ß is a parameter. 4 C₁eßt + C₂…

A: Given equation is x= c1 eβt +c2e-2βt sin2t -4t3

Q: H.wl: Find L{e-3t St. sin 2t.dt p1 p2

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Q: Solve the following Problems: (a) e(sinh x dx + cosh x dy) = 0

A: We need to solve  ey(sinhxdx+coshxdy)=0 The explanation is given below.

Q: Solve the following Initial value problem: xcos²(y)dx + tan y dy = 0, y(a) = b %3D

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Q: Q1: If Z= x^3+y^4+(x sin y)+ (y cos x), Find Zxx? Zyy? *

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Q: df (x) If f(x)= log,s 2 cos 4.x|+ sin x|, Then find 9 dx at x = - 6. -

A: Given, f(x)=logsec2ccos4x+sinxTo finddf(x)dx at x=-π6

Q: 1. Find the antiderivative of each of the following functions. 3 a. f(x) =+ e* + Vx b. f(x) = sin…

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: I. Obtain the general solution of the following: D. (3D2 + 12)y = tan x E. (D2 − 3D + 2)y = cos…

A: We have to obtain  general  solution of given differential equation.

Q: dz dz and ду Suppose z is a function of a and y, and tan Vy² + x² = 2e6y. Solve for

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Q: IV. Suppose z is a function of x and y, and tan yy² + x² = z*e6y. Solve for dz dz and

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Q: 2. Find a particular solution using Undetermined Coefficients to: y" + 2y' – 3y = f(t), where f(t)…

A: As per our company guidelines, we can solve first question for you. If you want other question to be…

Q: Determine whether ƒ is even, odd, or neither.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If the function f (x) solves the initial value problem dy = (x +1)-1/2 – T · cos(T2) y(3) = 2 , %3D…

A: Given: dydx=x+1-12-π·cosπx Now separate the variables; dy=x+1-12-π·cosπxdx Now taking integral on…

Q: Solve the following DE: [2x+ ycos(xy)] dx+ x cos(xy) dy = 0

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Q: x sin y = y cos x +c

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Q: Solve the following initial value problem y' + 4y = g(x), y(0)=1 and y'(0)=2 where g(x)is defined as…

A: According to the given information, it is required to solve the initial value problem.

Q: dy 29 + y tan x: dx 1 (4x + 5)? y³ cos x

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Q: Find the solution of the equation zz + Əx² ay² ich tends to zero as x→∞ and has the value cos y when…

A: Given : ∂2z∂x2+∂2z∂y2=e-x cosy To Find : solution of the Equation

Q: Given x2 + 15x + 50 f(e) = 1+ cos?(x) At what value of t does the local max of f(t) occur? 0. t =

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Q: Solve the following Problems: (a) e"(sinh x dx + cosh x dy) = 0

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Q: Find the solution of the equation cos y which tends to zero as r 00 and has the valRe cOS N Then r-0

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the solution of the equation a²z a²z + cos y V ax² dy² which tends to zero as x→∞ and has the…

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Q: dz Suppose z is a function of a and y, and tan Vy2 + #² = 2"¢&v. Solve for dz and dy

A: Solution :-

Q: Find F

A: Given:

Q: 器+4+5y = 8 sin x when dx X -0, y=o y'eo Find when x = T

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Q: Using the initial condition y(0) = 3, we find y(0) = −e0 + C = 3, so C = 4. Thus, y(x) = 4 − e−x .…

A: To find f'(t) we integrate  c=integrating constant  Given f'(0)=-1 , using that we find c

Q: Solve the following equation d² y dt² 2 + 2y = 3e sin t

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Q: If y = 3 t2 – 4 t – 6 and x = dy sin (4 t) , find dx

A: Given, y=3t2-4t-6andx=sin4t To find the value of dydx.

Q: Find the general solution of the following exact differentia (e + 2ry)dx + (cos y +2a y)dy = 0.

A: As it is given the differential equation is exact si we can directly use the formula of exact…

Q: 3. Which of the following gives if y=sin" (2x)? dx 2 (A) V1-4x 1 (B) V1- 4x 2 (C) V1-4x 1 (D) V1-4x…

A: To find the dy/dx

Q: B- Solve one of the following initial value problems for y as a function of x: 2. =- 1, y(0) = 1 dy…

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Q: -T/6 T So Soo S xy sin(yz) dx dz dy.

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Q: Question 9 Given f = xy² In (3y + 2x) + (xy)e* (ry), find dy

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Q: Suppose z is a function of x and y, and tan Vy? +x² = ze6y. Solve for and dx ду

A: Here, given that z is a function of x and y and tan y2+x2=zxe6y⇒tan y2+x2=ex ln ze6y...(1)

Q: IV. Suppose z is a function of r and y, and tan y2 + x² = 2*e. Solve for az dz and %3D dy

A: To solve for dz/dy and dz/dx.

Q: Q1/ Find of the following problem : dx e. sin- x) = y g. y = (x² – 2x + 2)e*

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Q: The function that describes this oscillation in time is of the form Y (t) = eat (2 cos(bt) +…

A: Given Function, y(t) = eat (2cosbt + sinbt) ....................(1) And Quadratic Equation, mx2 +…

Q: Q3.If f(x,y)=sin(x-3y) + sin(x1 find: af 2x and af dy

A: We can find partial derivative with respect to 'x' and 'y' .

Q: 1. f(t) = cos(6t) 2. f(t) = (e^(8t)) cosh(3t) 3. f(t) = (t^2) e^(-4t)

A: Lcos(at)=ss2+a2 Leatcosh (bt) = s-a(s-a)2-b2 Ltneat = n!s-an+1

Q: Solve the following equation using Bernoulli D.E. a. Substitution method 2. 3(1+t²)dy = 2ty(y³ –…

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Q: Find the solution of the equation P №²₂ a²z อ + cos y ax² ay ² which tends to zero as x→∞ and has…

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Q: If Xy +y'=1, find at the point Co,-1) 4P dx 2 5- the value of

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