h(x) = S*(8t³ + 2t)dt, use the FTC Part I to find h'(x). %3D

Q: d Using the Chain Rule Twice Calculate 1+ Vx2 + 1. dx

A: Given function is 1+x2+1

Q: Prove the formula.

A: Given a function Arc Sine Hyperbolic (t). We need to find the derivative of the function. Let's…

Q: solve using Separation of Variables. dy dt = ry-3

A:

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

A:

Q: Latel I, Vx2 + y² dV,

A: answer is in next step

Q: The integrating factor of y= 2x' is dx

A:

Q: Find dy/dx by implicit differentiation. 8x3 + x?y – xy3 = -8x2 y' = 2/3

A:

Q: 1-dt 3- Ln(t) dt. Q10:- Calculate dx J2x t2

A: Use fundamental  theorem of calculus

Q: Calculate dy/dx using implicit differentiation. 3x + 4y3 = 7

A: 3x + 4y3 = 7 We need to find the derivative using implicit differentiation.

Q: Find dy/dx by implicit differentiation. x² + 3xy + y2 = 4

A: In an implicit equation different variables (here x and y) will be intermixed.

Q: dx S COsxtanx

A: Here we will solve the given integration,

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…

Q: 2x dx ex+3

A: ∫e2x dxex+3

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: What is the integrating factor y x² = 2 (2x - y)?

A: The given equation is; y'=2(2x-y).

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: e dx 1- e2x (integration by substiution)

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: In x 2. Integrate -dx , (i) using the sub stitution u = Inx (ii) using integration by parts.

A: Integrate by substitutions and by parts

Q: Find partial derivative of dx for the function f(x.y) given below exp 2x. siny .(at the point (In2,…

A:

Q: /4 - x2 the integral | dx, becomes

A: Given the integrationI=∫4−x2x2dx

Q: What is the integrating factor of (y – cos² x) dx + cos xdy = 0?

A:

Q: In integrating the function fx' In Sx dx using integration by parts, what would you choose for your…

A:

Q: x'dx √√x(1-x)

A:

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: dx 15. S (x²+36) ³/2

A:

Q: 8. dx +x2 Integrate:

A:

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: Find dy/dx by implicity differation.

A:

Q: (a) Evaluate xe* dx using substitution method. (b) Evaluate | 6xe* dx using integration by part…

A: We will find out the required value.

Q: dy Find dx by implicit differentiation: 5x²y+ 5y²x=- 3

A: Given,            5x2y + 5y2x = -3

Q: find the total differential dz. xety

A: dz=∂z∂xdx+∂z∂ydy ---->1Consider z=xex+ythen∂z∂x=ex+y+xex+y∂z∂y=xex+y

Q: dx 62 + x² Integrate:

A:

Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your v?

A: Solution

Q: Calculate the integration y+1 dydx

A:

Q: Paragraph 12) S, dx Sx+7

A:

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

A:

Q: Find dy/dx by implicit differentiation

A:

Q: t of integration.) dx 5 + v2x

A:

Q: Find dx (e3t + 1)dt. -cos(3rx)

A:

Q: Integrate J dx X(x-3)

A:

Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

A:

Q: Find the linear approximation of f(x)=lnx at x=1and use it to estimate ln⁡(1.3) L(x)=? ln 1.3≈?

A: First find the linear equation at x=1  then find the approximate values

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: . Use separable equations to find the general and particular solution of xy dx – (x +

A:

Q: (B): Find the integration by using substitution method √x√2x-1 dx

A:

Q: Find the integrating factor of (x² - y²)dx + (x² - 2xy)dy = 0

A: Given  (x2-y2)dx+(x2-2xy)dy=0

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.