Evaluate (3x – 2y) dA, where D = {(x,y) E R²| – 2

Q: Q4 If f (x, y) = x sin y + ey asf ax2ay3 Find

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Q: Evaluate the Ś Ŝ (x²+2xY+ y% ) dy de when Step Size of xz0.2 and step of y=o.5 ? (use -> Trafezoi…

A: let f=∫01∫02x2+2xy+y2dydx with step size h=0.2 we have x0=0.2 , y0=0.5 fx0,y0=0.22+2×0.2×0.5+0.52…

Q: -. Find all missing values below. 33 8x – 43 - A B 1 y =. AE =_5 2y + 3 %3D 2х ED %3D E BF = %3D бу…

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Q: "x=Arctant, y=/1+76, find the value of a if y' 2ay" := 17 when =2 O 2/2 O -2/2 O - V2

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Q: dy Find for the following by using appropriate rules: iv. x² + y3 + (lnx)e♥ = 4. y = Vx(3x2 – 1) V.

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Q: d) Let y= Acos2t where A is a constant. Find the value of A such that d y --3y = 9cos2t for all…

A: Given  The equation is  y= A cos(2t) , where  A  is constant  and condition is  d2ydt2-3y=9cos(2t) .

Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;…

Q: What is the degree of the DE A B 4th degree D 3rd degree C no degree с 5th degree ay 3-)²-(2²) əx²…

A: Solution

Q: For y=x²-9x+8, find dy, given x = 1 and Ax = -0.1. dy = (Simplify your answer.) 5 2d

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Q: J1 x²+f(x) dx < o? Justify your answer by either showing it is true or providing a counterexample.

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Q: '4 I x1/2 dxi n = 8 (a) Approximate its value by using the Trapezoidal Rule.

A: Given: ∫04x dx where n=8 To find: The approximation using the following, a) Trapezoidal rule, b)…

Q: Q15: Consider the D.E. (x – 1)³x²y" – 2(x – 1)xy' – 3y = 0. Is xo = 1 an ordinary point? Explain…

A: To solve the following diffrential equations

Q: 2. Let y = x? 4x2 . LA. Find "dy". B. Find the value of "dy" when x = 4 and dæ = 0.01.

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Q: z= em and a = 2t– 2s?, y = 2s – 2t, find az at t = 1, s = 1. at

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Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0 dy %3D

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Q: dy Given a DE of dz 1-r-y using simple substitution, what must be your z? Ity Answer:

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Q: The result is calculated as follows. '1 +5/8 dx 8_y13/8 . 13 = F(1) – F(0) - 0 II

A: Let I=∫01x5/8dx

Q: Find dy for the given values of x and Ax, y%3D5X²-6x, x= -2 and Ax =0.1 dy =D (Round to the nearest…

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Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

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Q: Find dy for the given values of x and Ax. y= 2x° - 7x; x= - 2 and Ax = 0.2 dy =D %3D (Round to the…

A: Solution: The objective is to find the value of dy

Q: r In y dr, where D is described by 1 < r < 2, e <y<e aD | V1 +r² dy, where D is described by -1<r<1,…

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Q: ху? + х — 2у + 3)ӑx + x?ydy %3 2(х + у)dy, when x %3D1, y %3D 1

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Q: %3D 3. If GH = 7x + 18 and JK = 81, find x. H G 丰 K 廿 世

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Q: dx J. (3+x²)$/z

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Q: C is given by x = 4t and y = 3t, where t runs from 0 to 2. Evaluate (y/x)ds 45/2

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Q: 21.Find. the.curent.densi..a.t. P.(.1,l3). .... D...

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Q: Evaluate the following: fo(5x²y³ + 3x) dydx a. b. ff ex+ydA where R = {(x,y)|-x≤ y ≤x, 0≤x≤ 2}

A: To find the value of given double integrals.

Q: Approximate y(1.2), with h=0.1 given that xy' = y +x , y(1)= p, by RK- 4 using 5-digits rounding.

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Q: d. y =x (n* + e*)6

A: Given that, y = x (πx + ex)6 And we have to calculate the differentiation of the given function,

Q: b) Eiven that x -t'+ 3t² and y=tt- 8t? 2. Find dy i) Find when t=1 dz

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Q: d²y Compute dz? at the point (1, 2) given a² – y² = -3. a) 3 b) 4 9 d) 8 e) O

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Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

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Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: Find the value of the secant for ZR. 3)14 14 а. b. V5 с. d. 3 R O A

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Q: the va q² +y? +æy ) at x = 1 and y = 3 is %3D

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Q: Q2: * Q2: y" + ay' + by = f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t? – 1 %3!

A: Giventhat:¯y+ay'+by=ftand yp1=et+t2-1 and yp2=e2t+t2-1To find:¯a,b and ft

Q: For x=e y=In 2t, find y ' when x=e. x=e• 4e 4e

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Q: ) PV Is AN ALTITVOE TO OI メーD エF 41 = Sx+S エ FINO Mメエ

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Q: Q16: Consider the D.E. (x – 1)³x²y" – 2(x – 1)xy' – 3y = 0. Is xo = 0 an ordinary point? Explain…

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Q: Apply the Trapezoid method to the ODE x′ = −x + t√x for two steps with x(0) = 1 and h = 1/4. Show…

A: Given ODE is x'=x+tx Let f(x,t)=x+tx Also given initial condition is x(0)=1 and h=14 By Trapezoid…

Q: Find dy for the given values of x and Ax y%3D5X- 6x, x= -2 and Ax = 0.1 dy = (Round to the nearest…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 7. (x dy – y dx) = 0 x² + y?

A: We are given a differential equation  1x2+y2(xdy-ydx)=0 We have to determine whether it is exact or…

Q: (a) Find where x² + 3xy + y² = 3 at (√3,0). da

A: topic- implicit differentiation

Q: For f(x, y) = ln(2x+16)/(2y+16) , find the domain.

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Q: Use the trapezoidal rule to find A, using the indicated value of n. dx; n=8 3 X +1 .....

A: Please refer the attached image for complete solution. THANK YOU.

Q: Q5) Approve that the following DE is exact and solve it: (y + 2xy³)dx + (1+ 3x?y² +x)dy = 0

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Q: Q2: y" + ay' + by f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t2 – 1

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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.