3.7.29 y If x3 y3 16, find the value of at the point (2,2) dx' X 2y at the point (2,2) is 2 dx The value of (Type a simplified fraction.)

Q: a. Around the point (1, 0), is ƒ(x, y) = x2( y + 1) more sensitive to changes in x or to changes in…

A:

Q: What is N(x,y) for the following differential equation: x(1 – sin y)y' = (cos x – cos y – y) %3D

A:

Q: 3. Using Euler's method, find an approximate value ofycorresponding to x= 1.6, given =y -and dx y =1…

A:

Q: Q 4. If tan x sin x is an integrating factor of the ay differential equation dx + Py = Q then P =?

A:

Q: 1 So x2-4 dx an improper integral. (5 points each) 3. Find a value of b >0 that makes

A: Given the function :

Q: 8o lve uaing beta gamma funchon m-1 h-1 dx dy from Me beta funchien formula & elalion X vaies o o1-Y…

A: Given integral is  I=∫01∫01-yxm-1yn-1xydxdy            (i) Now,…

Q: Зx? — 2х — 4 A dx using В C | Evaluate the integral x3 – x2 – 4x +4 - 1 x+2 х — - 2 3x2 – 2x – 4 dx…

A:

Q: 4. Use a suitable numerical method to estimate , xln(x)dx, using h = 0.4. Use 4 decimal places in…

A: Here we will use right Riemann sum to estimate the integral  Given a function f(x) that is…

Q: 14 Approximate (x²-6) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

A: Please follow the next step.

Q: 6. Find the total differential for the following equation of the following equation; z = ex² + y²…

A: We Know that  For function z = f(x, y) whose partial derivatives exists and  Total Differential of z…

Q: Use the information to find and compare y and dy.                                   Function y…

A: We find dy using the power rule

Q: Iņ8 7 In (3y) *+y² -z dx dy dz 1 1 In (2y) In8 z In (3y) ex+y? -z dx dy dz =| 1 1 In (2y) (Type an…

A:

Q: Evaluate xy dx + (x + y)dy along the curve y=x? from (- 3,9) to (- 1,1). | xy dx + (x + y)dy =|…

A:

Q: 1.25 x2 Using numerical methods find the value of dx with h 0.25. 1+x3

A:

Q: Use the information to find and compare y and dy.                                        Function…

A:

Q: 3. Find the Valuo OF C Conkinous at X=1 which makes tho Following Function (メー30-1, X<1 キ)= 3C cos…

A: Solve the following

Q: (х — Зу + 2)dx + 3(х + 3у — 4)dy —D 0 x-1 a. In[(x – 1)2 – 9(y – 1)²] – Arctan C 3 (у-1) | x-1 b.…

A: The differential equation of the form Mx, ydx+Nx, ydy=0 is called the differential equation with…

Q: dz and dy dz Find 2° In (1+ xy

A: Given that:  z = x9 ln( 1 + xy-5/6). We find dz/dx and dz/dy. Here i attached solution of this…

Q: estimate delta(y) using differentials y=(x^1/4)(e^5x-1)  a=1    dx=.1 (Give your answer to four…

A: y=x14e5x-1,  a=1  &amp;  dx=0.1 Differentiating with respect to x, we get…

Q: Q 4. If tan x sin x is an integrating factor of the dy + Py = Q then P =? [1 dx differential…

A:

Q: 47.Find the area of the finite region bounded by the curve: y=xlnx, the x-axis and the lines x = 2.…

A: In the given question we have to solve question (47) and (48)in question (47) we have to find the…

Q: 4. Find for implicit function x?tany + y2 = In5x + 7 dy %3D dx dy 5. (i). Find the for the function…

A: Using chain rule and by pa

Q: 6. Use Methods of Integrating factor to solve the DE below: dz + 2 xz = 2 e-x? a) dx dy b) x 2- 2 y…

A:

Q: 13. S /(1– cos x)dx

A: Follow the procedure given below.

Q: (19) State the Substitution Rule for integration. (20) Find f4r³√x + 10dx (21) Find fr³ cos(x¹ +…

A:

Q: 1 1. (a) Estimate dx using L4. Is this an underestimate or overestimate of the value of the x +1…

A:

Q: Q1: To integratef 6x + 8 dx we substitute a)x = sec 0 + 3 b) x = tan 0 + 3 c)x sec 0-3 d) x 3sec 0…

A:

Q: 3 2 Evaluate the integral| (4- y?) dy dx. 0 0 The value is (Type a simplified fraction.)

A:

Q: 5) [xe*dx (Use Integration by Parts) 6) If [g(x)dx = (8x“ + 2)* +C, find g(x).

A: We will use integral by parts to solve the first given question and differentiation to solve the…

Q: What is N(x,y) for the following differential equation: x(1 - sin y)y' %3D (сos x - сos y — y)

A: Given a differential equation, x1-sinyy'=cosx-cosy-y

Q: 16. For fe cos x dx, what is what is the answer when you integrate by parts? cos x e' dx OB. - sin x…

A:

Q: 1. The exact differential d(xy)= xdy+ ydx, what is the d( = 4x' y'dy+2xyʻdx. 2. The exact…

A:

Q: 16) Approximate ,xer'dx Using Gauss-Legendre 3 points formula G3(f)

A:

Q: se the method of variation of parameters to determine a particular solution lo the given equaliol…

A: we have given the differential equation y'''-15y"+500y=e10x we have to find the particular solution…

Q: dy for e dx (*² +1), 6. Determine ln( 19) + x² – xy =

A:

Q: a+3 Use Ar = 0.5 and a left-hand sum to estimate xe* dx.

A:

Q: A. Find dy/dx of the following. 4. y In(ln x") 5. y = cosh(In x) – sinh(In x) 6. y = log In x

A:

Q: Ecos sin dx is equal to A. Inv2 B. Inv3 c. In D. In e When evaluated, x sinh 3x dx is equal to A.…

A:

Q: 2:2. Use simpson's /3) rule following intsgrals. Assume (h=l)?. to eualuate. the 5 *.dx b.Scx'+ x'-…

A: Since you have asked multiple part question we will solve the first three question for you. Kindly…

Q: 01 ation. Solve (1-x²)x+m²y=0 dx where x = 0, y=0, dy- dx

A:

Q: 3 a) given y: (1-2n) find dy and d'y hence, evaluate dn yl)+x( ) where X =1

A: The function is y = (1-2x)3 and x = 1. Evaluate dy/dx as follows.

Q: 5. The following integration can be solved by using the technique, where we have u = , du = , and dv…

A: we have to find integration

Q: Use the information to find and compare y and dy.                               Function y=x − 2x3…

A:

Q: H.W // find the integral _1=√15 e-x³².dx. using 7. dx. using two and three points of Gaussian -1.5…

A: In numerical analysis, the Gaussian Quadrature method approximates the definite integral of a…

Q: 1 Find dy/dx for the given value of x a. y = xarccos x x= -1/2

A: Given- y=xarccosx To find- dydx at x=-12 Identity Used- Using the product rule of differentiation…

Q: 3 y = √√2x + 7

A: Given,  y=2x+73 or x=y3-72

Q: Solve the following differential equation Integrating Factor by Inspection: 1. xdx+ydy=(x2+y2)dx

A: Given: xdx+ydy=(x2+y2)dx

Q: +5y = sin x, y(0.3)=5 and using a step size of h = 0.3, Approximate the value of y(0.9) dx 2. %3D…

A: Given 3dydx+5y2 = sinx with y(0.3) = 5, h = 0.3

Q: 10. Give the differential of f(x) =x² - 3x at x = 1 with respect to the increment 1/10. 11. Use…

A:

Q: Solve this differential equation. (e^x-sin⁡y ) dx+cos⁡y dy=0; when x=0,y=π⁄2

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.