A point is moving along the graph of a given function such that dx/dt is 3 centimeters per second. Find dy/dt for the given values of x. y = 3x2 + 2 (a) x = -1 dy/dt = cm/sec %3D (b) x = 0 dy/dt = cm/sec %3D (c) x = 2 dy/dt = cm/sec

Q: y=cos-1(3x2+1)=arccos(3x2+1)

A:

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

A:

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

A:

Q: Determine the equation of one of the curves for dy/dx = 4x which passes through the point (2, 3).…

A: We need to find a curve for dydx=4x which passes through 2,3.

Q: point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for y = 2x2 + 7;…

A:

Q: A particle moves along the curve y = x^(3/2) in the first quadrant in such a way that its distance…

A: Let (x,y) is a point on y = x^(3/2)Distance of (x,y) from (0,0) is given by:

Q: Find the second derivative d2y/dx2 of the implicit curve y3=xy+1  at (0,1)

A: y3 = xy +1differentiating both wrt to x3y2dydx= y+xdydx+0dydx3y2=ydydx= y3y2-x

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

A:

Q: find dy/dx of each equation using implicit differentiation. a. y4 -2y2x2 + 3x2 = 0 b. (x + y)3 =…

A:

Q: (16x+5y)dx+(3x+y)dy=0, (the curve pass thru the point 1,-3) (3x^2-2xy 3y^2)dx=4xydy (3X^2 - 2Y^2)…

A: Since you have posted a question with multiple questions, we answered the first one for you. If you…

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

A: The equation of path is y=2x2+7. Also dxdt=4 cm/sec

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

A: The given function is  y = 2x2 + 1; dx/dt = 2 centimeters per second

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

A: Question is solved.

Q: Find dy/dx by implicit differentiation. x^3 + y^3 + 9y - 5 = 0 dy/dx =

A:

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

A:

Q: find dy/dx by implicit differentiation. 1. (2x+y)^3=x 2. (x-2y)^2=y 3. xy+2y=3 4. xy+2y=x^2

A:

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

A: Given y=2x2+1 , dxdt=2 centimeters per second .A point is moving along the graph of the given…

Q: Find dy/dx by implicit differentiation. x = 2 In(y2 - 3), (0, 2) dy dx Find the slope of the graph…

A:

Q: 5. Find the rate of change of the distance D between the origin and a moving point on the graph dx…

A: Given: y=x2+7 then A moving point on the graph is: (x,y)=(x,x2+7) And dxdt=8 cm/sec We have to find…

Q: find dy/dx by implicit differentiation.  1. xy + 2x + 3y = 1  2. x3 + 4xy - 3y^(4/3)=2x

A: Since there are two questions posted, we will answer the first question (1).If you want the second…

Q: Find dy/dx by implicit differentiation. (1/x^3) + (1/y^3) = 4 dy/dx =

A: Given function (1/x^3) + (1/y^3) = 4  We need to find dy/dx using  implicit differentiation

Q: find the dy/dx by implicit differentiation. 4. 5x-x^2y^3=2y 5. y^2+2xy^2-3x+1=0 6. xy+2y=x^2

A:

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

A:

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

A: Differenciate ' y ' with respect to ' t '

Q: Find dy/dx by implicit differentiation. 2(x^2+y^2)^2 = 25(x^2-y^2)

A:

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

A:

Q: A particle moves in a straight line and any time t seconds, its velocity v m/s is given dx by e-".…

A: Note that velocity is rate of change of displacement. Hence displacement will be integration of…

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

A:

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A: The number of hours of skilled labor is y and unskilled labor is x.

Q: 3. у?dx— x(2х + Зу)dy %3D -

A:

Q: The Integrating factor of the equation (x²y³ + xy) dy dx 1 is

A: We have to find the integration factor of the equation x2y3+xydydx=1. We know that integrating…

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

A:

Q: Find the indicated derivative. dy for y = 1- 2x2 x4 - 2x2 dx + 3 dy dx

A: Quotient rule: ddxuv=vddx(u)-uddx(v)v2

Q: Find the differential dy of the given function Y=arctan(x-5) Dy=?

A: Use the standard derivative of inverse trigonometric function and chain rule.

Q: What is the process for finding dy/dx when y is an implicit function of x? Illustrate with an…

A:

Q: A point is moving along the graph of a given function such that dx/dt is 3 centimeters per second.…

A: Given: A point is moving along the graph of a given function such that  dxdt  is 3 centimeters per…

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

A:

Q: Find dy/dx by implicit differentiation. 2) x3 - 2y2 = 1 4y B) x2 + 1 A) 4y C) 2y D) x2

A: solve the following

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

A:

Q: find the PS of (16x+5y)dx +(3x+y)dy= 0. if the curve to pass thru the point (1,-3

A: 16x+5ydx+3x+ydy=0 -1equation 1 can be written as

Q: A point is moving along the graph of the function y=1/8x^2 +3 such that dx/dt = 3 cm/sec. Find dy/dt…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

Q: Find dy/dx by Implicit differentiation. x = 7 In(y-24), (0, 5) dy %3D dx Find the slope of the graph…

A:

Q: y is a function of  x and the slope of the function is zero at x=10 then to determine that y reaches…

A:

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

A:

Q: dy Find dx by implicit differentiation. 3 +y = 25 -1 dy 9x а. dx 4y dy b. dx 4x Зу -1 dy 4х с. dx 1…

A: We need to find dydx of x23+y32=25. So,                 x23+y32=25Differentiating both sides wrt…

Q: Find the value of dy/dx at the point (−2, 1) for the function which is defined implicitly by

A:

Q: Find  dy dx by implicit differentiation for the function. x2 + 3x2y2 + y2 = 6

A: Given  x2 + 3x2y2 + y2 = 6 We have to find dydx by implicit differentiation.

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

A: The function is y=2x2+3   & dxdt=4 centimeter per second By using the chain rule Chain rule:…