Given that f(x) = x'h(x) h( – 1) = 5 h'(– 1) = 8 %3D Calculate f'(- 1).

Q: Integrate (x)(e^-x)dx within the limits of (1, infinity)

A: Givne that  Integrate (x)(e^-x)dx   limits of (1, infinity)

Q: When a vertical beam of light passes through a transparent medium, the reason that its intensity I…

A: We have to find What is the beam intensity at 15 feet below the surface.

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 dy/dx by implicit differentiation   x2 + xy -y2 =4

A: Differentiate both sides with respect to x. For xy use product rule

Q: find dy/dx by implicit differentiation y2 = x/x + 1

A: To get rid of the fraction we cross multiply. Then differentiate both sides with respect to x.

Q: Find dy/dx by implicit differentiation. xy + 5x + 2x2 = 3

A:

Q: Find dy / dx by implicit differentiation. xy + 5x + 5x2 = 2 dy / dx =

A: xy+5x+5x2=2

Q: Find dy/dx by implicit differentiation. x2 + y2 = 64

A:

Q: Find the differential dy of the given function y=extanx

A:

Q: Find the indicated derivative. Find OY for y2 = 8x – 7. dx dy dx II

A: topic - derivatives

Q: Determine the anti-derivative of Y = 2e3x +5 and use the fact that y(0) = 7 to %3D dx determine c,…

A: We first separate the variables and then integrate  c= integrating constant Formula used:

Q: The integration of dx is 4+x²

A: The given integral ∫dx4+x2 can be evaluated as, ∫dx4+x2=∫dxx2+22                =12tan-1x2+C…

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A: Given a particle is travelling upward and to the right long the curve y=lnx. It is given that dxdt=x…

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

A: To determine the derivative of given function.

Q: ■ Find dy /dx  by implicit differentiation x3 + y 3 = 1

A: The given equation is x3+y3=1 Use implicit differentiation( chain rule) to find dy/dx .…

Q: 3. Water is being poured into a 10 liter leaky container so that the volume of the water, V,…

A: A differential equation is an equation that contains functions and their derivatives.  A…

Q: x* + x²y² + y³ = 5

A:

Q: find dy/dx by implicit differentiation x2y2 = 1

A: According to the question, we have to find the differentiate x2y2=1 by implict differentiation,…

Q: Find e-ax dx } first integrating and then transforming result.

A: Here we find Laplace transform

Q: Find dy/dx by implicit differentiation x2+y2=64

A:

Q: ly 4% confident that the true po ation percentage of people that

A: The margin of error is the amount that is allowed for the error term to vary because of…

Q: Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate ln(1.33).

A: The linear approximation of f(x) at x=a is given by L(x)=f(a)+f'(a)(x−a) Given, f(x)=ln(x) at x=1.…

Q: Find the differential d5y of the function y=lnx2.

A: y = lnx2 = 2lnx

Q: Find dy/dx by implicit differentiation. exly = 4x – y

A:

Q: find dy/dx by implicit differentiation ex+2y = 1

A: Given Function is ex+2y=1

Q: 4. Evaluate e*dx using integration by parts.

A: Explanation and solutions is given below.....

Q: For what function P is the integrating factor α(x) equal to ex?

A: Here the given integrating factor

Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

A:

Q: 53. df = (x+ 1)ye"dx + xe*dy

A:

Q: find dy/dx by implicit differentiation √(xy) = 1

A: xy=1Concept: In implicit differentiation, while differentiating y, one need to use dy/dx.Product…

Q: Find the derivative, dy/dx: y = log3 (2x +1) Oy =- (2z+1)3 In 3 Oy = (2r+1) In 3- Oy= log, e (2z+1)3…

A:

Q: find dy/dx by implicit differentiation ln (x/y) = 1

A: We have to find dydx by implicit differentiation for the implicit function: lnxy=1 Implicit function…

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A:

Q: Find dy/dx by implicit differentiation. x2y + y2x = −2

A: Given multivariable equation,  x2y + y2x = −2 To find dy/dx using implicit differentiation.

Q: Find dy/dx by implicit differentiation. x7 + y4 = 5

A:

Q: find dy/dx by implicit differentiation x2 + xy + y2 - 5x = 2

A: Given: The implicit function x2+xy+y2-5x=2 The given function can be differentiated by…

Q: Find dy/dx by implicit differentiation. x4/3 + y4/3 = 1

A: Given that: x4/3+y4/3=1

Q: Find dy/dx by implicit differentiation 4Vx + Vy = 3

A: Consider the equation

Q: 2. If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y.

A:

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A: Given

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: Compute the second derivative of e^x+y+y^2+x^3=0. y" denotes, d^2y/dx^2

A:

Q: x e* dx

A:

Q: If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y. TRUE or FALSE ?

A:

Q: Find dy/dx by implicit differentiation. VTy = x'y +33 dy/dx =

A: The given equation is xy=x7y+33.

Q: | (In x)2 dx Use integration by parts.

A:

Q: Calculate the increment and differential of the function y=x2−x+1 at the point x=2 when dx=1.

A: Given, the function is y = x2 -x +1 at the point x = 2 and dx = 1, We have to calculate the…