4 2 The reverse order of the integration o SEF (x, y)dydx is A) S S* f(x, y)dydx 0. 4 B) Só Sf(x, y)dxdy 4 C) S Sz f (x, y)dxdy D) S S2 f (x, y)dydx 2 E) S S f(x,y)dxdy 01

Q: 22=2+4i Let e = [3 Im (z) + 2 Re (z)] dz 21=0 where C the parabola y = x² defined from z1 to z2 .…

A: z=x+iy

Q: 1 1 10z Evaluate f dz f dr ſ e dy. 1 1 10z Türkçe: S dz f dz S e dy integralini hesaplayınız. O…

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Q: A clamped cubic spline S(x) on interval [0, 2] is defined by 1+ax + bx2 – 2x³ 0<x<1 1+ c(x – 1) –…

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Q: y2 Given the double integral: * Ax- V4x-x² (x²+y²)* dydx, changing the coordinate 3/2 system, the…

A: Convert into polar form

Q: The general solution for D. E. e'y- -= 0 is %3D 7-ry Uy = e - In (Imlxt+c 1-y+1 y = e- In y = x + In…

A: given differential equation is first order differential equation. By using suitable substitution we…

Q: 1. Compute  E yz dV , where E is the region above z  0, below z  y, and inside x 2 y 2  4

A: Obtain the limit of integration as follows.

Q: 1. Under the paraboloid = 3z2 + y? and above the region bounded by y = x and r= y² – y

A: Find point of intersection of:  y=xx=y2-y y=y2-yy2-2y=0y=0,2

Q: 1 1 1lz Evaluate f dz f dæ f ez dy. 1 1 1lz Türkçe: ( dz f dx ſ e dy integralini hesaplayınız. O…

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Q: 1. Show that y(x) = e*(2x - ) is the solution of the Fredhlom integral %3D y(x) = 2xe – 2 ex-t y(t)…

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Q: 10. Jljul * If µ(x, y) = x" y"is an integratingfactor of the the DE. (12 + 5xy)dx + (6x y + 3x²)dy =…

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Q: a) h(x, y, z) = In(z³ – 5x – 3y – 1) | 1 b) h(x,y,z) = z³ – Jx + y

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Q: π/4 [*¹. f(r, 0) r dr de The region of integration is bounded by 3/ cos(0) A. y = 0, x = √√√√9 - y²,…

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Q: 1. Evaluate the triple integral // defined by the inequalities 0 <r < T, 0<yS1,0< z <7/6. xy sin…

A: From the given problem: ∫∫∫xysinyzdV Regions are: 0≤x≤π ; 0≤y≤1 ; 0≤z≤π6   So, we can write as:…

Q: 3 19- Change the order of the integration of S f(1,y)drdy. ŏ y-3 0 -3+z a) S S f(x,y)dydx + § S…

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Q: EXAMPLE 1 Evaluate the triple integral SSSKYZ'dv, where B is the rectangular box given below. B =…

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Q: Consider the differential dz 2.ry da + (x² + 2y) dy. (11.39) %3D Evaluate the integral S2 dz along…

A: The integral, ∫(x1,y1)x2,y2dz=∫(x1,y1)x2,y22xydx+(x2+2y)dy∫(x1,y1)x2,y2dz=∫(x1,y1)x2,y2Mdx+NdyWhere,…

Q: a) Evaluate ff, (3 – 4x)dV where E is the region below z = 4 – xy and above the region in xy – plane…

A: To evaluate the given triple integral.

Q: 1. f(x, y) = x2 + y² –1 2. f(x,y)= 3. f(x, y)= Vx+ y² +4 5. f(x, y)= In(xy) 7. f(x, y,z)= sin(xyz)…

A: Vf(x,y) =[d/dx(f(x,y) ,d/dy(f(x,y)]

Q: Recall the Power Rule for Integration for n + -1. un +1 + C u" . n + 1 In this case, u = 2x + 1, u'…

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Q: d the particular solution of the following second order H ations using the initial conditions given…

A: Solve differential equations

Q: 5. Given: G(x, y) = 4y¹ sin(2x³) Gyxy(x,y). What other 3rd order partials are equivalent to Gyxy(x,…

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Q: 10. If µ(x, y) of the the DE. x" y" is an integrating factor (12 + 5ху)dx + (6х у-1 + 3х?)dy %3D0…

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Q: Evaluate SSS 10e(=²+y²+z*)"² dV_over B where B = {(x, Y, z) : x² + y² + z² < 1}. Take T = 3. Türkçe:…

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Q: Suppose that a, b, c, and d are constants such that ad- be # 0, and let m and n be arbitrary real…

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Q: 2. Consider the 2nd order linear homogeneous DE x*y" - x (x+2) y' + (x+2)y = 0 for x >0. (a) Show…

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Q: 1) Consider (x, y, z) = 2xyz - x²y³ v(x, y, z) = xy² + y sin(z) F(x, y, z) = F₂(x, y, z)i + F₂(x, y,…

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Q: 3 Find the bounded Solution of o учу j²y аха = xt dt² sy( dy where y(x, 0) = and y (o₂t) = 0 (x,0)…

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Q: One of the critical points of f(x,y) – x² – 5y² + 10y – 27x is: O (3,1) O (3,1) O (1,1) None of…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Solve for the solution of the Homogeneous DE: (x - y)dx + (3x + y)dy = 0 when x = 2; y = -1 a. (x -…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: • Example 4 Evaluate the double integral /| v²x dA R over the rectangle R = {(x, y) : –3 < x < 2, 0…

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Q: In 2 If we reverse the order of integration o f(c, y)dy da, then we obtain: Select one: O a So f(x,…

A: This question is related to Integral calculus

Q: Evaluate fz² In z dz using integration by parts O² Inz-+c Onz-+c Onz-+c 2²lnz - 2 + c 12 21

A: Solution:  step-1: Evaluate ∫z2*lnz dz using integration by parts                Formula for…

Q: 2 Deternine whither the vecter field Flx, 2) = (y, x.1) i 2/: X,1 is Cohresvative on B². If…

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Q: #1. Evaluate the triple integral xy*av, xy?dV, B where B is given by B = {(x,y,z): 2 <x< 3, -1< y <…

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Q: z+1 Calculate using residue integration method f. ;dz, c: |z – 1| = 1. z4-2z3

A: Given, ∮Cz+1z4-2z3dz,C:z-1=1 Here given the circle with radius 1 and center (1, 0).

Q: Evaluate fff 12y - 8x dV wherein the limits of integration are the region behind y = 10-2z and in…

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Q: Evaluate SSS7elz²+y?12)"" dV over B where B= {(x, y, z) : z² + y² + z² < 1}. Take = 3. Türkçe: B =…

A: Here we will find out the required value.

Q: The reverse order of the integration J. y f(x,y)dxdy A) S Sž f(x,y)dydx B) f, S§ f(x, y)dydx C) S, S…

A: We will solve the problem

Q: 3/2 Evaluate SSS11e=²+y²+2*)"² dV over B where B= {(x,Y, z) : x² + y² + z² < 1}. Take = 3. Türkçe: B…

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Q: a Z2=2+4i - [ (3 Im (2) + 2 Re (2)] dz Let e = 21=0 where C the parabola y = x² defined from z1 to…

A: Solution: (a) Let us consider C be a parabola y=x2 defined from z1=0 to z2=2+4i. Therefore, C can be…

Q: 5) Change the order of integration for each of the following cases. a) S f(x, y) dydx [Ans: S f(x,y)…

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Q: 2. Evaluate the double integral. SSp(x – 2y) dA, D = {(x, y)|1< x< 3, (1+x) < y < 2x} а.

A: As you post multiple question according to guideline I only solve the first one. Please request your…

Q: 17. 6xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded…

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Q: II (3x + 7y) dV = 20 where E is the region in the first octant 3 We have E bounded by the cylinder…

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Q: 8. Evaluate the line integral (x'dx+ xe"dy where C is the closed path along the triangle in the…

A: Here we have to evaluate the integral ∫cx2dx+xe-ydy where C is the closed path along the triangle in…

Q: 12. Find the outward flux of F = x*yi-cyj+zk across the boundary of the region which is bounded…

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Q: 4.(i) Consider the function z= f (x,y) and the total differential of it, dz given by dz = fx dx + fy…

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Q: b) Evaluate [[ (3-4x)dV where E is the region below :=4-xy and above the region in the xy -plane…

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Q: (z+1)dz Evaluate using Cauchy's Integration Fromula where C is z+ z'-4z 3/2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.