What is the degree of f (r, y) = (r + y³)' %3D

Q: Compute dy and ∆y for y = sqrt(x^3 + 1) for the change in x from x = 2 to x = 2.03. Is dy a good…

A: According to the given information, it is required to determine dy and Δ(y) for the given function…

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: Find dy Y= 5In CI+x") 4 dy'=?

A: The solution are next step..

Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

Q: , X= sin ztS d= In Find dw 2- Cost

A:

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 10 In(x) dx,n = 6

A:

Q: fm üli f (x,y,z)=x'+x*y *z ' + yz ?

A:

Q: Find the total differential. z = 10x5, y7 dz =

A:

Q: If f = 5x2y2 - XY2 then find af at (3,1) %3D dx

A:

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

A:

Q: 18 dx Integrate using trig. Substitution: S- x² V9– x²

A:

Q: dxdy Vy X'

A: Given: ∫01∫yy21y2-x2dxdy

Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: Integrate f(æ, y) = e2=² + 2y² over the domain {(x, y) | æ² + y? < 3}

A:

Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

A: we can solve this as follows:

Q: Find f. fy for f(x,y) = xcosy + %3D x5 siny3 ey

A:

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 aff dy dx² for f(x, y) = exy

A: I have done solution in detail....step by step....go through the solution

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: What is fx , where f (x, y, z) = (sin yz)ez3−z−1√y ?

A: Given, f (x, y, z) = (sin yz)ez3−z−1y

Q: Use runge-kutta method find an approximate value of y corresponding to x = 0. 1, given that: dy * =…

A: We have function f(x,y)=x+x2y, y0=1, and h=0.1. We have to use the Runge-Kutta method to find an…

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

A:

Q: What is the difference between dy dy and Ay Use an example y = 4x?+ eX to under stand. 4x2+ ex

A: In the given questioin we have to tell about the difference between dydx,∂y∂x and ∆y∆x. first we…

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

A: Trapezoidal rule:   where

Q: fro(x- dt show that = f(x). dx y 3

A: y=12∫0xft x-t2 dt

Q: If f = 5xy2 - X³Y then find df at (1,1) dy %3D

A:

Q: Find the total differential. z = 2x6y9 dz

A:

Q: Find the total differential. z = 5x3y8 dz =

A: The solution is:

Q: e following integral: 23 8xyz dz dx dy. 120

A:

Q: dy of y=X Find

A: y = x^x Find dy/dx

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

A: We have to estimate ∫-11x3+1dx by using the Trapezoidal rule with n = 4.

Q: What is the I.F of dy/dx = y - xy^3e^(-2x)?

A:

Q: The Integrating Factor for the DE y dx = (ye' – 2x)dy %3D is: -2y レマ None of These 2y

A:

Q: find given f (x, y) = e² + 2xy² – 4y at (0,3) af dy'

A:

Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .

Q: Find the total differential. z = 10x4y5 dz = (No Response)

A:

Q: Find the total differential. z = 5x³y4 dz =

A: Solve the given

Q: aw nd dt in term of t, if w = xy, x = cost and y = sint, when t = - %3D

A: Question 4 is not complete.  I am answering Question 5.

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

A:

Q: The work done W,to stretch a spring from its natural length to an extension of 2 meters Is given by…

A:

Q: What is the I.F of dy/dx=(y+y^2)/x?

A:

Q: If f(x, y) = x cos y + ye", find the second-order derivatives %3D af a²f ах ду" and ar" dy ax'

A:

Q: What is the integrating factor of (ry + y) dr + (r + 2y-1) dy %3D

A: Given xy+y2dx+(x+2y-1)dy=0Compare above differential equation with…

Q: What is the I.F of (x^2y^3+2y)dx+(2x-2x^3y^2)dy=0?

A: Find the integrating factor

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: ds Find where Vt +s = 2s . %3D dt

A:

Q: Suppose F(x, y) = 0 and y is a differentiable function of x. Explain how to find dy/dx.

A: It is given that F(x, y) = 0 and y is a differentiable function of x . For the function F(x, y) = 0…

Q: 2s+3 13. F(s) = s2–5

A:

Q: Use the Trapezoidal Rule with n = 4 to estimate f, x² dx. Compare the estimate with the exact value.

A:

Q: (x+6)dx (x+2)?

A: To evaluate: ∫x+6(x+2)2dx