t2 + 9 V8 - t dy if y = In dt Find dy dt

Q: dx 8х — 9у dt dy = x + 2y x(0) = 2 y(0) = 1 - dt

A: The solution is given as

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Q: .dx/dt = x+y², dy/dt = x + 2y

A: We have to find the critical points of the given system of equations dxdt=x+y2 ,dydt=x+2y

Q: find dy/dx

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Q: dx + dx dy e; dy = x +y Use elimination to solve: dt dt dt dt

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Q: dy dx ; x = 0, y = 1 , t= 0 dt dt 2) x = t2 + t y = t2 -t -00 <t < 00 %3D fall

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Q: dx = x(1 – y) dt dy у(х — 1) dt

A: Solution of the problem as follows

Q: find dy&gt;dt.…

A: Given that y=1+cott2-2.

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Q: t y = t dy Find dx 1 8t dy dx t dy Find dt dy dt + II II

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Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

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Q: dx If y = 2x3 + 3x and dt dy 3, find when x = 4. %3D dt dy dt =

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Q: (a) Find dy/dt, given x = 1 and dx/dt = 8. dy/dt = (b) Find dx/dt, given x = 36 and dy/dt = 3. dx/dt…

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Q: Find  dy/dt  using the given values. y = x3 − 2x for x = 4, dx/dt = 1. dy dt =

A: The objective is to find dy/dt.

Q: d'y dt? dy - +6y = 21° –t +3 ; y(0)=1, dy -(0) = 2 dt -5 %3| dt

A: At first, we have to find the complete primitive (C.F.) and then we find the particular integral…

Q: 2 dy = t(i+t=) sec>x dt

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Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt dy/dt = (b) Find dx/dt when x = 7, given…

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Q: b- Yt dt + dBt dY; 1-t

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Q: dx dy 1. +у%3х, Зу dt dt

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Q: dw (C): If w = tanx and x = 4t³ + t ; Find dt dy

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Q: (1) y'(t) = 1- sint – , y(t)dt, y(0) = 0 %3D

A: As per guidelines, we will solve only first question. Kindly repost other question separately.

Q: Find the differential dy. (а) у — ху5 xv5 – x dy = (b) y = (1+x)-9 dy

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Q: find dy/dt. y = (t-3/4 sin t)4/3

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Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt = 4. dy/dt = (b) Find dx/dt when x = 9,…

A: First we will derivative with respect to t then find both value

Q: dy If y = (t + 2t + 5) (7Ł² + 3), find dt dy dt

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Q: dy Find dx S cos (1)dt y = dy dx II

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Q: Show that if

A: To Determine: show that      dydt=ky1-y Given: we have y=11+be-kt Explanation: we have  y=11+be-kt…

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Q: dy If Vx +Vy=5 and dx - 3. find the value of when X=1 dt dt

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Q: If y = 3x3 + 2x and dx 5, find dy when x = 2. %3D %3D dt dt dy dt %3D

A: Given, y=3x3+2x  and dxdt=5 We have to find dydt when x=2

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A: Given

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Q: dy 3y=e"; y (0) = 1 dt %3D -

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Q: dx dy dy Find and dt' dt dx x = 3t – 3ln(t), y = 4t2 – 4t-2 dx dt dt dr

A: Given x=3t-3lnt        y= 4t2-4t-2

Q: dx T2 +2 and dt dy 2. Find at I = 2 if y = dt dy dt

A: Solve for dy/dt at x=2

Q: 1. Determine y(t) if y(0)=0. dy dt S +5 ydt + 2y = 10

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Q: Find the general solution for y(t) where; dy а. dt + 6t?y = 2t? dy b. + 10y = 0 dt

A: The given question has been solved in detail

Q: dy Find dt y = (t sin t)6 dy dt

A: Given: y=t sin (t)6 We have to find dydt: Consider, y=t sin(t)6=t6 sin6(t) To find dydt…

Q: E. Find , and in terms of dx dt' dt 1. x = t°- 1 2. x = 4t + 3 y = 3t – 2 y = 4 - t

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Q: Ex.: Solve dx dy 2=t.... dt dt dx dy -+2 +2-y=0... y = 0.. dt dt

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Q: y=√x Find dy/dt, given x = 4 and dx/dt = 3 Find dx/dt, given x = 49 and dy/dt = 8

A: We have to find dydt given x = 4 and dxdt= 3 Find dxdt, given x = 49 and dydt = 8

Q: dx (b) (t– 2) – x = (t – 2)' , x(4)=10 dt dx (c) +5x -t = e" , x(0)= dt

A: Here we have to solve given initial value problem b and c.

Q: O1f y= x 4x and x = Vzr?+I, find dy /dt when t r2. %3D

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Q: dx Given y= e-2x? dy when X = 1 and dt 2. Determine the value of dt

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Q: Please show all work

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Q: Find dx dy dy and dt' dt dx x = 9t – 9ln(t), y = 4t2 – 4t-2 dx dt dy dt dy dx

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.