y are both differentiable functions of t. Equation Find Given 1. y = 3x - 5x when x = 3 32 at dy = 4 dt dx b.- when x= 2 dt

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x 2−x−2=2y 2−2y

A: We have to find derivative of curve equation (implicitly).Curve equation is given by:

Q: Let x be positive and a be a constant where x < a < vx . Find the indicated derivative: a d 21t dt +…

A: In this question we find integration bof given function and after we find first derivative. Here i…

Q: 1. Find the function y(t) satisfying y' = ev-t(1+t?) sec y with y(0) = 0.

A: Claim: solution for with y(0)=0. Integrating both sides we get, Take u=e-y then du=-e-y  and…

Q: 1 dx = 9 inches per second :- dt y = 1 + x2 (a) x = -3 dy in/sec %3D dt (b) x = 0 dy in/sec %3D dt…

A: Topic-derrivative

Q: Find dy/dx by implicit differentiation. x²+ y = x3 + y? y? + 2xy? – 3x +1 = 0 = 1 x y (2x + y)3 = x

A: " Since you have posted a multiple questions, we will solve first question for you. To get remaining…

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

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Q: A. Solve the following equation using integrating factors found by inspection. 4. xy(y2 + 1)dx +…

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Q: 4 the second order For the function y = 4 e" - - d'y is derivative dx? 4e + 8x-3 O 4e" + 4x-2 -3 O…

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Q: differentiation b. y=(x2Squareroot(x4+5))/(

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Q: Find dy/dx by implicit differentiation. x = 2 In(y? – 35), (0,6) dy dx Find the slope of the graph…

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Q: Find dy/dx by implicit differentiation. x = 2 In(y? – 48), (0,7) dy dx Find the slope of the graph…

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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: Find dy for the given values of x and Ax. y = 3x-2x; x= -2; Ax= 0.5 What is the derivative of y? dy…

A: Given: y=3x3-2x

Q: y = 2x2 + 9; (a) x = -1 (b) x = 0 (c) x = 1 dx dt of the given function at the rate dx/dt. Find…

A: The main objective to calculate the value of dydt for different values of x.

Q: Find dy for the given values of x and Ax. y = 3x+5; x = 1; Ax 0.24 What is the derivative of y = V3x…

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Q: dy/dx = (x-2)e^(-2y) satiafying the initial condition y(2)=ln(2) Find y as a function of x

A: Seperate the x terms and y terms to different sides and integrate on both sides.

Q: 11. Find the first derivative of y = arccot (). a. y' 1+ b. y' = 1+x² 21 c y' = 14 d. y' = 14x0 e.…

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Q: A. If r = r(t) represents the position function at time t of a certain particle, then what do you…

A: first derivative of position gives- velocity

Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

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Q: 5. Calculate the following derivative x = 3e d y %3D Find (1) y=2e [y= 2e' ; dx? %3D dy 2) Let the…

A: (1) Given x=3e-t  and   y=2et The objective is to find d2ydx2. Now, dxdt=-3e-t and dydt=2et Then…

Q: d etermine whether or not diffential eq is exact (1/x^2 - 1/y^2)dx + (2x+1 / y^3)dy=0 if exact solve

A: given differential equation is  (1x2-1y2)dx+(2x+1y3)dy=0

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: A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

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Q: dx -5x² – xy + 114.x dt dy -x?y – y + 900y dt Find the equilibrium points in the first quadrant

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Q: S(1) = [ L. dx dy Find d d/dt f(t). Hint: Try switching the order of integration.

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find  dy/dt for the given…

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Q: -Ive the derivative dy for the function: x dx = e'sint ; y = ecost %3D

A: Given: x=etsinty=e-tcost We have to find dydx.

Q: g(x) = ex + 1 0 2 e'e'g(t) dt

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Q: Can you help me step by step?

A: Differentiating the given equation:

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A: A detailed solution is given below

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x^2+y^6=1

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

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Q: dy for y = 2x In(3x)+ sec'(x* +1) dx 9. Find dy by implicit differentiation, given the implicit…

A: 9) Given:       y=2xln3x+sec-1x4+1 Differentiating on both sides        dydx=ddx2xln3x+sec-1x4+1…

Q: Question 1

A: Consider the equation  Given Find  at

Q: (e^x+lny+(y/x))dx+(x/y+lnx+siny)dy=0 solve using exact equation (diff eq)

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −y2 +y+3=−3x2…

A: We have to find dy/dx implicitly of curve equation.Curve equation is given by:

Q: Find dy for the given values of x and Ax. y = /2x + 5;x = 3; Ax = 0.13 What is the derivative of y =…

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Q: Find (dy / dx) for the given functions. Y = x^2 - sec x + 1

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Q: dy Given the equation y In (x* +y +5) = 7, evaluate Assume that the equation implicitly defines y as…

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Q: Find dy/dx the derivative of y for each of the following( implicit derivative): 1) y? = 4x4 2) x 2…

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Q: 1. Find the function y(t) satisfying y' = ey-t(1 +t²) sec y with y(0) = 0.

A: Given: The differential equation y'=ey-t (1+t2) sec y, y(0)=0.

Q: dy dx Suppose x and y are functions of a third variable t. If 2sin(x) + 4cos(y) =3 and dt -3, what…

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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: dy Find dx for implicit function ete + 3 x° cos y + 3y² = e4* + 3

A: Given that: x3.cosy+3y2=e4x+3

Q: dy dx Suppose x and y are functions of a third variable t. If Vx + Vy =5 and dt 3, what is the value…

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Q: related rates - find dx/dt where x2 +xy - y2 = 20. dy/dt = 5 and x = 4

A: x2 +xy - y2 = 20Diferentiate both sides with resepct to t. While differentiating recall the:Chain…

Q: Find dy for the given values of x and Ax. y=2x+9; x 1, Ax 0.12 What is the derivative of y = 2x +9?…

A: We have to solve

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. dy dx At 4, x…

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Q: dy by implicit differentiation. dx E. Find 1 ー+ー=2 х у 1 x² +y? = xy 2. 1.

A: the process of finding the derivative of a dependent variable in an implicit function by…

Q: dx = x – y – 2 cos(t) dt dy = x + y + 5 sin(t) dt Suppose you want to solve by substitution, Pick…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.