Given r = 15 In(t) and y= 225 t then find dy dx d'y da?

Q: Find dy/dx in terms of t if x=te^t , y=6t+6e^t dy/dx=

A: Use Product rule of derivative and find the derivative of x with respect to "t".

Q: Please show all work

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Q: dy xe dx to

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Q: Given x = 2 In(t) and y= 4 t then find dy dx dy da?

A: Given, x = 2 ln t  &   y =  4t2

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2nx - 1 cos 2 dy = ||

A: topic - derivative and differential equation

Q: Find the differential dy of the given function. (Use "dx" for dx.) y dy

A: use chain rule while differentiating

Q: Find dy/dx and d^2y/dx^2 X=t-e^t, y= t+e^-t For which values of t. Is the curve concave upward?

A: Given that, x=t-e^t, y= t+e^-t

Q: Q1-lf x= cot-VE, y= , find dy dx' dx2 at t = 2. t+1

A: We have to find first order and second order derivative of the given parametric functions.

Q: Find P.I of the given d'y 5. +6y ex dx sdy dx?

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Q: Find dz/dx if z is implicitly given by the equation ze-y = sin(ryz).

A: Given, zex-y=sinxyz It is simplified as follows: Differentiate both sides with respect to x and…

Q: dy = 9 +y osx dx

A: Given

Q: Find the value(s) of dy/dx  at y=1 given that x2y + y2 = 5.

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Q: y = sin (2x) + et ,Find dy Inx dx

A: 1. Differentiation can be defined as a derivative of a function with respect to an independent…

Q: dy dx 1+ey

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Q: (b) Given that y(6x +1) e** = 1+ - In dy Find when x 0 and y=1. dx

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Q: Find  dy dx at the value of the parameter. x =    t,  y = 2t + 8,  t = 16

A: See attached file for a step by step explanation.

Q: Find dy/dx in terms of t if x = te', y = 4t + 4e* dy/dx =

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Q: find dy/dx for following equation,   6xy - ln(y) = 2x + ey

A: Given information: 6xy-lny=2x+ey

Q: _y=e*sin(x)

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Q: cinxo ) 2X. dy dx Find for y= cos ( Inx + e

A: We have to find the derivative.

Q: y = cos s (2² + 7) dy Find dx dy dx

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Q: If y = In(2x+3) , then find dy at x = 0. dx

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Q: Given x = 2 cos t + 8 and y= 4 sint dx (i) dt dy (ii) dt dy (iii) dx ||

A: Givenx=2cost+8y=4sin2t

Q: Find dy/dx. x = t?, y = 1-6t dy

A: The objective is to find dy/dx.

Q: dy Find dx S cos (P) at y = COS dy dx II

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Q: dy Find for y = /12+13t dt. dv

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Q: Find dy/dx: a. y = cos t dt 0,

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let y = tan(3r + 4). Find the differential dy when T = 4 and da 0.4 Find the differential dy when x…

A: Given: Differentiate the above expression of 'y' with respect to 'x'.

Q: Find the values of dz/dx and dz/dy at the given point

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Q: Given z = 15 In(t) and y = 225 t² then find dy dx dy dz² ||

A: Given : y=225×t2......(1)  x=15 lnt......(2)

Q: Given x° + xy – 6x = 1 : dy by differentiating implicitly. Do not substitute for dx Га) Find Y. dy…

A: Topic :- Differential equation As per our guidelines , only one question will be answered at a time.

Q: when

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Q: If y = √ 1+x3, calculate dy/dx. What is dy/dx x=2

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Q: Calculate dy/dx if x and y are related as below xe" – y=x 2

A: To determine:

Q: dy Find for y = dx dy dx 1 13

A: The required derivative is given below

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x/2 = Ap dy

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Q: Find dx 2n S sin (P) at (?)dt y=

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Q: Given a = 2 cost+35 and y =7sin t %3D dx dt dy dt |3|

A: Topic : differentiation

Q: Given x 6 In(t) and y = 36 t2 then find %3D dy dx dy dx? ||

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Q: Given x = 70 sint + 13 and y = 70 cos t+ 22 dx (i) dt %3D dy (ii) dt dy (iii) -

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Q: Zy dx = (x?-1)L dx-dy) %3D

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Q: if y=tan u, u=v -1/v and v=ln x, what is the value of dy/dx at x=e

A: We have to find dy/dx .

Q: dy Find dx' 1/2 J cos (?) dt y =

A: topic - derivatives and integration

Q: Find the value(s) of dx at y= 1 given that x²y+y² = 5. only В only 2

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Q: Find dy/dx if y = J' V1 + ² dt. Explain the main steps in your calculation.

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Q: Given x = 12t – 48 and y= 144 sin t %3D dy dx dy dx?

A: We know dydx=dydtdxdt d2ydx2=ddxdydx=ddtdydxdxdt

Q: Given that y = ln |2² – 6 , dy 6, find dx In |x %3D

A: Differentiation is the process of determining the derivative of the function The given function is…

Q: d. Try to find dx dy at (0, 0) on both graphs. What goes wrong? How does this relate to their…

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Q: Ql find dy 2メ for y= cos ( Inx + e %3D dx

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.