5. Evaluate by using beta function: | °(1 – r*)} dx.

Q: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: Preview and where B is: Preview

A:

Q: The approximation of I = xe" dx using Simple Simpson's rule is:

A: According to the fundamental theorem of calculus ∫abf(x)dx=F(b)-F(a), where dFdx=f(x). Simpson's…

Q: 14. Determine dy/dx if y is a function of x defined implicitly by sin(x? + 2y)

A:

Q: Use Fubini's Theorem to evaluate .2 -dx dy. I + xy

A: Given :            ∫02∫01 x1+xy dxdy By Fubini's theorem, the above integral can be rewritten as ∫01…

Q: EVaLuate W= X -*-cos't ,y=cost sint

A:

Q: Find the curve y(x) that minimizes the I Cy) = S. cos x)+ ]2 Cunc tonal %3D

A: solution:-Given I=∫1+cosx+y121/2using Euler's equation ∂f∂y-ddx∂f∂y'=0sincef=1+cosx+y121/2is…

Q: The linear approximation at z = 0 to sin(8x) is A + Bx where A is: %3D and where Bis:

A: Given : The linear approximation at x=0 to sin(8x) is Ax + B   To Find : Value of A and B

Q: the linear approximation for f(x,y) = sqrt (y+cos^2 x) at (0,35) is ?

A:

Q: Q8 Integrate by parts: x sin x dx

A: .

Q: dy given that In(x + y2)-tan- = 0. Find dx

A:

Q: 1+ x 1 then find dy when – 1<<1. dx If y = tan

A: We will find out the required value.

Q: Find a result by using exact for (sinxcosy)dx = -(cosxsiny)dy = 0 b. (x-6xy + y² + 10)dy = -(x² -…

A: I am attaching image so that you understand each and every step.

Q: Evaluate 112x C: arc on y = x5/2 from (0, 0) to (4, 32) (2x - y) dx + (x + 3y) dy.

A:

Q: The linear approximation at x = 0 to sin(9x) is A + Bx where A is: and where B is:

A: Given fx=sin9x Differentiate fx=sin9x with respect to x, we get f'x=ddxsin9x=9cos9x Hence,…

Q: Evaluate S (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32)

A:

Q: Q1-If x= cot- VE, y =, find d²y dx' dx2 at t = 2.

A:

Q: A. Use Simpson's rule to evaluate -dx ,by taking n= 4. Inx B. Find the length of the curve y = x…

A: Answer

Q: Ql: Approximate: 4 dx x – 1 Using: 1- Trapezoidal Rule (4 subintervals) 2- Simpson's Rule (n=8)

A: VALUE OF INTEGRAL BY TRAPEZOIDAL RULE IS 3.116666666 VALUE OF INTEGRAL BY SIMPSON RULE IS 3.09872…

Q: dy b) Find If tan2²(2y) – S cost dt = 4 – x2 - dx

A: We find the dy/dx by Leibniz rule.

Q: dy Evaluate dx at point (4,2) given 3(x² + y²)² = 100(x² – y²).

A: Answer and explanation is given below

Q: Find dydx? for f(x, y) = eXy

A:

Q: Find dy/dx by implic differatiation. c)sin(xy)=cos(x+y)

A: to find dydx of  sin(xy)=cos(x+y)

Q: (b)/ Use the Trapezoidal Rule with n = 4 to estimate (x' + 1)dx.

A:

Q: Compute for dy/dx. Suppose y is a function of x. a.) y = 2^(cotx) Arcsec(πx) + cos² (π/7)

A: Given: y=2cotxsec-1πx+cos2π/7

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x12 from (0, 0) to (4, 8) 528/5

A:

Q: b) Calculate dx for n = 6, using Trapezoidal rule. 1+x5

A: Trapezoidal rule:   where

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

A:

Q: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: and where B is:

A:

Q: Where is the function f(x, y) = e' arctan (VI+In(x+y)

A: In this question, the concept of continuity is applied. Given function is fx,y=etan-11+lnx+y

Q: 2. Find the length of the curve: y = 2 In (sin (x)):sxS*

A:

Q: I) Find the volume of the solid obtained by rotating the sine function between x -0 and x x about…

A:

Q: cos(2y - x) = 3ysin x

A:

Q: dy In(5a + 2) Find for y = %3D dx

A: Giveny=ln(5x+2)7e5xdifferentiate…

Q: 5 一=A+hxsl-x dy=?

A:

Q: Find for y = tan(x) dy dz2

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32)

A: Solution of given question is written in below steps.

Q: Let y=sin(4x).If Δx=0.2 at x=0, use linear approximation to estimate ΔyΔy≈   Find the percentage…

A:

Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x = 5.² in six…

A: Given integral is ∫0πsinxxdx. We have to evaluate the given integral by using composite trapezoidal…

Q: Q3/ Evaluate 2 vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

A:

Q: /hat is the value of dx at the point (1,0) if y = In(x² +y²)?

A:

Q: Q2 \ Evaluate .1 dx by using trapezoidal rule. 1+x2

A: See the details solution in below

Q: Find dz/dy of z=arctan (x/y)

A: The given function is z=tan-1xy.

Q: dy Using the product rule for the dx function y = e3" sin x is equal to

A:

Q: Use the Trapezoidal Rule with n = 4 to approximate the value of: +1)dx.

A: Given,  ∫12x3+1dx, n=4

Q: (b)/ Use the Trapezoidal Rule with n = 4 to estimate ſ,(x3 + 1)dx.

A: To find: ∫-11x3 + 1dx using trapezoidal rule with n=4

Q: dy Find for the following fur dx 2- COS X y% = 7+ coS X dx

A:

Q: Q3/ Evaluate Sz Vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

A: 3 Given integral is ∫0π2sinxdx. i We have to evaluate the given integral by using trapezoidal rule.…

Q: Let y = sin(5x). If Aæ 0.4 at x = 0, use linear approximation to estimate Ay %3D Ay = %3D Find the…

A: delta y here represents the change in the value of y when x changes from x= 0 to x =0.4.