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Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error…

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Q: (2y cosx + sin“ x)dx = sin x dy ,when x =",y = 1 5y= 1 %3D X 2

A: 2ycosx+sin4xdx=sinxdy,   x=π2,   y=1:A first order linear ODE has the form of y'x+pxy=qxLet y be the…

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

A: The solution are next step..

Q: Solve using integrating factor by inspection: (x^3+xy^2-y)dx+(y^3+x^2y+x)dy=0

A: Solve using integrating factor by inspection: (x^3+xy^2-y)dx+(y^3+x^2y+x)dy=0

Q: dz dz Calcula y dy z = x In(y) az = In(y) 1

A: Given : z = x ln( y ) To Find : ∂z∂x, ∂z∂ywe have given four options to determine the correct option…

Q: 2-) Calcu late +he folloming integ rols by using the integration met hods a)| (hx" +8x²+ 15x) dx dx…

A: We are allow to solve one que at a time

Q: Let y = tan(2z + 3). Find the differential dy when z = 2 and dæ = 0.4 Find the differential dy when…

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Q: dy dz Find at z = 1 if y = 4z +4 and = 2. dt

A: Given: y=4x2+4

Q: y, thên thế total differential of and y O df = 11 dr + 16 dy O df = 15 dr + 19 dy O df = 12 dr +18…

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Q: 0. dy for y = 4t dt. 4t +1 3x3 Use Leibniz's rule to find хр

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Q: 2tx? + 2t + (tª + 1)x' = 0, x(0) = 1 2r – 1 -dr + r - 2r2 -dt = 0, r(2) = 4 t2 – 1 - %3D 1 1 dx +…

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Q: xy(y? + 1)dx + (x²y² – 2)dy = 0, y(1) = 1

A: Given: xyy2+1dx+x2y2-2dy=0, y1=1 ⇒xy3dx+xydx+x2y2dy-2dy=0 ⇒xy2ydx+xdy+xydx-2dy=0 ⇒xy2 dxy+xydx-2dy=0

Q: The volume of a right circular cone of radius x and height y is given by V = volume of the cone is…

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Q: pol DA 4. x dy + y dx = 0 (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

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Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.

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Q: Find the General Solution using integrating factors found by inspection У(2х — у + 1)dx — x(3х — 4у…

A: We have to find the general solution of the following differential equation using the integrating…

Q: 」enr一2) dz csc (4r – z) dz dz dz 17. 2 V1 – sen 2z V1 – cos (4- – 2z) In | csc (4- – z) – cot (†7 –…

A: Integrate as general

Q: 36. Using the approximation dy dy h dr * Yn+1- y. and that dr 1, y = 2 when r 0. Then, y A h- 2 h+ 2…

A: Please see the answer below.

Q: integral iterada. | 3. (1 + 4xy) dx dy 4. [ (4x° – 9x³y²) dy dx (/2 5. x sen y dy dx T/2 6. Ja/6 L…

A: The objective of the question is determine integral.

Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

Q: How can I evaluate ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above the cone Φ =…

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Q: Evaluate the integrals

A: We’ll answer the 15th question since we answer only one question at a time. Please submit a new…

Q: Siny dy = Cas y (l-x Cosy) Cauy) %3D

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Q: 2) dy 3x-y+1 3y-x+5 Apply homogeneity test to differ en tial equertion cnd solve. %3D

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Q: (cos y- zsee'y) de – sin y dy = 0

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Q: 1.(x fan y t y) dx - xdy = 0 2- ye "dx - (ure)dy cbssitication and Solution by appropiate methed

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Q: 1 cone of radius x and height y is given by V = =Tx2 y. Suppose that the 3 dy Find when x = 2 and y…

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Q: 2f sen jz įdz -2 cos z + C 28. sen Jz dz = %3D

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Q: Find the moment of inertia with respect to x-axis the aarea bounded by 2y^2-8y-16x=0 and the line…

A: The moment of inertia is the rotational analogue of mass. The expression for moment of inertia is…

Q: dy at z = 5 if y = 5x² + 4 and dt dz Find 3. dt dy dt

A: Given y=5x2+4 -1and dxdt=3

Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* - х)dy %3D 0

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Q: Q3) Evaluate triple integral Lyx -y)dz dy dx.

A: Topic = Integration

Q: dy + 2 dy + y = sinh 3t – 5 cosh 3t ; y (0) = -2, y (0) = 5 II %3D |3D | dt? dt

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Q: 2sin(y)cos(y) sint(y)+costy) dy

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Q: dy of y=X Find

A: y = x^x Find dy/dx

Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

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Q: olve for the general solution of the given DE by using the integrating (x³ + xy2 + y)dx + (y3 + x²y…

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Q: I. Integration by pa 1. Su²sin2u du 2. S y²e2ydy

A: The given integral is,1.∫u2sin2u du2.∫y2e2ydy

Q: Y" - Y = { 2, %3D Ost Y(0) = Y'(0) = 0, %3D %3D t21

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Q: •3 /9-x² r9-x²-y² Evaluate: x dz dy dx, using cylindrical coordinate. -3 V9-x² Jo

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

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Q: Q: Approximate: 4 dx 1 - 2 Using: 1- Trapezoidal Rule (4 subintervals) 2- Simpson's Rule (n=8)

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Q: 1. y(x³ – y)dx – x(x³ + y)dy = 0

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Q: For the IVP = x(x+y), y(2) =2, by Euler's method y(2.5)= dy dx %3D

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Q: (2у — Зx)dx + xdy 3D 0

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Q: V4-z2 z siny dx dz dy 16 3. 16 5 0 16 0 66 0 66

A: The objective is to solve the integral ∫0π∫02∫04-z2z siny dx dz dy

Q: 6. Find S(3y – y³) (1– y?)dy sin ycos y 7. Integrate: J sin² y dy 8. Find 3 S(5 - 3y-5)²dy

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Q: dy +Hanx Siny = I Cos y die

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Q: *= 1+?-,y = -x²,x > 0 2. = x³(y – x)² +2, y1 = x,x > o у 1. %D = x³ (y – x)2 + dx , Υ1 - x, x > 0 dy…

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