Find f(x) if y = f(x) satisfies dy 144yæ17 dx and the y-intercept of the curve y = f(x) is 3. f(x)

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: Can you help me with this problem step by step?

A: The given equation,

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: Find f(x) if y = f(x) satisfies dy 135y214 dx and the y-intercept of the curve y = f(x) is 4. f(æ)

A: The given differential equation is dydx=135yx14 with initial condition that the particular solution…

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A:

Q: Find the function "y" that makes the integral stationary V1+y²y2

A: Please check step 2 for solution

Q: Find the differential dy of the given function. y = V4 - x2 dy =

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = V4 - x2 dy =

A:

Q: Let y = f(x), where f(x) = Vx + 4. Find the differential of the function. dy =

A:

Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.04. y = V3x – 2 A. 0.01…

A: Given that: y=3x-2x=2 to x=2.04

Q: Find dy/dx by implicit differentiation. (a) Vry = x- 2y +1 (b) y³e2 + 53y = sec(3x)) (:) (b) x = In…

A: To find the implicit differentiation.  We use the , basic product and chain rule of differentiation.…

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

A:

Q: Find dy dx2 by implicit differentiation. x y + eY d2y %3D dx2

A: Note: As per company's guidelines, we should solve only one question. So, kindly post the next…

Q: Find dy/dt of y = Ssin (cost) and simpli -t -cos t cos t V1-? the

A: Given:- y=sin(cos-1(t))  To find:- y'

Q: Find dy if x=t+6f and y= dx 2 5 at t=1 +

A: We have to find dy/dx

Q: Find the derivative of y with respect to t. y = tan - 1 2t V 2t dy dt

A: We have to solve

Q: Can you help me step by step?

A: To differnetiate the given function y(t)

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

A:

Q: 1 -dt = xy ndif y + J sint+1 secx dx

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: where t is a non-zero parameter. Show that dx 28 Given that x=z and y==. 1+r Hence find its value at…

A:

Q: Find the derivative dy if y(x)- Vx+1 dx dy xp dl (O

A: Given:

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

A: Given,

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A:

Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+x5y4=−1

A:

Q: find the dy/dx at x=-2 for y=3u^2 + 2u and u= (x^2+5)^1/2

A: Explanation of the solution is given below....

Q: Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y = x and y = x2.

A: Given problem:- Use Green's theorem to evaluate ∫c (xy + y2 )dx + x²dy  by the curve y = x and y =…

Q: Find the differential dy of the given function. y = V9 - x dy

A: Given y= √(9-x2) To find dy/dx

Q: Compute xe" dx + x?y dy along the curve x 3t, y = t2, 0 < t < 1.

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Q: Find the dy/dx by implicit differentiation. yvx +1= 4x - 2y 2(x+1) x+1 O Xxww wwxx 2y 2(x+1) x+1 O…

A: Given:  yx+1=4x To Find: To find dydx by using implicit differentiation.

Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx+ x?dy by the curve y = x and y = x2.

A:

Q: Use the method of Example 4 to compute dy/dx p at P = (2, 1) on the curve y^2x^3 + y3^x^4 −…

A: we can solve by this implicit differentiation, so,

Q: Show that the equation dy/dx=x^2/(1−y^2) is separable, and then find an equation for its integral…

A:

Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: Find the differential dy of the given function. y = V4 - x2 dy

A: Consider the given function. The problem requires to find the differential dy of the given…

Q: Find In(y') at the point (0, 1/e) where xy° – In(xª + y) = 1.

A:

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

A: Given,        x2y+y2=5  and dydx at y=1

Q: dy Find at the origin on the curve: - dx x² + y + x + 3y 0

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Q: Find the derivative of y with re Ind the (x* In x) y = dy dx II

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 3Vx + X. dy = | %3!

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Q: Let y = tan(4r + 4). Find the differential dy when x = 1 and dæ 0.4 Find the differential dy when x…

A: Given that, y=tan4x+4 differentiating both sides with respect to x, we get…

Q: Find the derivative of y with respect to T Y=t(ln 4t)^2 dy/dt

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x3+y4=3

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given data is : dxdt=5et-3 , x0=4 To find the antiderivative

Q: use implicit differentation to find dy/dx and d2y/dx2 at the point (1,0) for the given function…

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Q: Show that a particle, located at the origin at t = 1 and moving along the x-axis with velocity v(t)…

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Q: Let y=f(x), Given dy/dx=(3x^2 -1)/(2y) with initial condition f(1)=4. Find f(-2)

A: Given y=f(x), dydx=3x2-12y⇒y dy=12(3x2-1)dx⇒∫ y dy=12∫(3x2-1)dx+C⇒y22=123x33-x+C⇒y=x3-x+C Now, to…

Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx + x²dy by the curve y y = x2.

A:

Q: Find the length of the curve y = ln x from x = 1 to x = e.

A: Given:Find the length of the curve y = ln x from x = 1 to x = e.