S dx dy dz 1 Evaluate the triple integral 1 xyz

Q: а. 2хеУ dx + (x?еУ + сos y) dy — 0 b. [sin(xy) + ху сos(ху) + 2x] dх + [x? сos(ху) + 2y] dy

A: The given differential equations are (a) 2xeydx+(x2ey+cos y)dy=0(b)…

Q: (a) (e* +In (y ))dx ++1 dy = +1 dy = 0 , y (In (2)) =1

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 3 3 4 Evaluate the integral S [(?+y?+?)dz dy dx. 0 0 0 3 3 4 S[?÷+²)dz dy dx=O 0 0 0 (Type a…

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Q: 3. Exact DE (1+ y3 + xy?) dx + (x²y+ y+ 2xy) dy = 0

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Q: dy evaluate dx (sinx+1) 5-1f: y = (cosr+1)

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Q: Q3) Evaluate triple integral N S dz dx dy . x-y

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Q: Evaluate the triple integral. 6xz dy dx dz 0.

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Q: dy In(3x + 5) Find for y = - dx 8e3x dy %3D da

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Q: 1 y Evaluate the double integral. SPe" dx dy 0 0

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Q: sp dy dx dz (1–z) Evaluate .

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Q: I. Evaluate the following integral: 1. S dx 3 2х+7 2. S y²e2-2y* dy 3. S sec? (4 – 3x)dx

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Q: xy³ dx + x?y? dy +- In (In y) In x dx + dy = 0 y In y %3D 3.

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Q: dy is let y = ln(V – 9 + a). -9+x then dx S'

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Q: (a) Find the differential dy. y = ex/4 dy = %3D (b) Evaluate dy for the given values of x and dx x =…

A: we have to derivative

Q: Find dy. y=3 In (4+x) dy =D

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Q: Evaluate the double integral: sin(y) /y³ dy dx.

A: Change the order of integration to simplify the integral .               Disclaimer: Since you have…

Q: Use Green's Theorem to evaluate Se (yæ² – 3) dx + (x³ + 4) dy where Cis shown below. y (-3,3) •(6.3)…

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Q: Ev aluate the double integral dy dx 3/x

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Q: 3. Linear DE of Order one 2y(у? — х)dy %3D dx

A: Linear equation of dx/dy form is made

Q: 1 dy J yi + 3y² + 1

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Q: (ii) o S(2xy + z)dx dy dz z=-1 :0 Jx=1

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Q: (a) Find the differential dy. y = ex/2 dy = (b) Evaluate dy for the given values of x and dx. x = 0,…

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Q: 4 S* (2x -6)° dx= S f(uldu where du = a 6 = f(u)= The valve of the original integral is

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Q: x(ln y – Inx)dy = y(1+ In y – In x)dx 6- xdy+(2y-x -1)dx=0

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Q: dy The order of the differential dy +7. + sin x = is 12 dx? dx O 2 O 1 7 O not defined

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Q: Evaluate the double integral ₁+² (y + 2x) dy dx p1+z² -1/2 O 0.0892 0.0888 O 0.0982 0.0999 0.0882

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Q: Soru 1: d'y xe (0,+∞)aralığında tanımlı dx dy +2y=sin(x)+ e diferansiyel denkleminin dx

A: The order of a differential equation is the highest order of the derivative pesent in the…

Q: Find the generat Solution t dy (2y + xy) dx or Special o the differential * +1=

A: We have to find the general solution to the differential equation 2y+xydydx=1+4x+4x2

Q: 2 x SSy dy dx . Evaluate the integral: 0 0

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Q: (1 + Iny-) (;++i" y) dy = 0; 7. dx + y(2) = 1 Ans: In y+x+xIny-=0

A: The given differential equation is  1+lny-xy dx + xy+x22y2+3yln2y dy =0   ;  y(2) =1 Compare with…

Q: 17. Let y = 4t + 3, t = 6e and s = 1 + In x. Find dy in terms of x. dx %3D

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Q: In x The triple integral ye² dz dx dy is equal to the triple Y a ln x integral ye dx dz dy.

A: The given statement is: The triple integral  ∫12∫yy2∫0ln x yez dz dx dy  is equal to the triple…

Q: Evaluate the double integral : 2 e2y+z dy dx 0. 0.

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Q: dy 4. y dx ;y(1) = 3 x(х+1)

A: In this question , Firstly we can integrate on both sides and solve the integral. After that we can…

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Q: y ln x Iny dx + dy = 0 (v')? = 1- iy== when x=1

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Q: dy = 1+ xy dx is not separable. ylgn ihi

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Q: Find the differential dy. y = sqrt (3+x^2) dy=   Evaluate dy for the given values of x and dx. x =…

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Q: Find the sloution of the given DE dy y-x dx y + x y(0) = 1, h = 0.1 at x = ( "

A: Introduction: The formula of the Euler method to solve the differential equation y'=f(x,y) is,…

Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)

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Q: 2. Evaluate dy/dx for y= x In x 1+inx

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Q: (9x² + y – 1) dx – (4y – x) dy = 0, y(1) = 0 - ben valor nuulo

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Q: Q1/ Evaluate 1 dx Jo 1+x² using Simpson's 1/3 rule Simpson's 3/8 rule i- ii-

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Q: 10 cos(x) Evaluate the improper integral: / dx Vsin(x) а) 30 b) O20 40 c) 3 d) Odiverges e) 10

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Q: 3. Evaluate the double integral: ²₂2(x+3) dy dx 4. Evaluate the triple integral: ₂ dx dy dz Z

A: Topic:- multiple integration

Q: Q3) Evaluate triple integral dz dx dy.

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Q: Q3) Evaluate triple integral S" dz dy dx. x-y

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Q: b) Evaluate the triple integral S dx dy dz re3 1 xyz

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.