Q4. If f(x, y) = e³xyIn(2x) then will be ду 3ye 3xy In (2x) c. ye ³xyIn(2x) a. b. d. 3xe3xy In(2x) 3e3xy ln(2x)

Q: 4xy, Amdl ly 2.

A:

Q: Find y (2) if D.E. 2 dx +3y=sin 2x₁ y(0) = 6

A:

Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

A:

Q: Q6/(A)Evalute ex² dxdy.

A: Given: ∫02∫y21ex2dxdy Evaluate the given integral. If the order of integration is x, y then…

Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

A:

Q: 3.2 (2x - y²) dxdy

A:

Q: 1. Find 2(3z + 4)² dz.

A:

Q: 1. . x + 4 dx x² + 5x – 6

A:

Q: 3. (1+4e3x)³ e3x dx

A:

Q: 5. Find y' for y=³√ 3√² + 3√/2

A: The given function is: y=3x2+53x As we know that, The Sum/Difference rule: f±g'=f'±g' The Power law:…

Q: 3. y = 1 √x Calculate y'. 1 V3

A:

Q: 2. (2xy + y²)dx – 2x²dy = 0 -

A: Let's find.

Q: 9. (yexy - 2y³)dx + (xexy - 6xy2 - 2y)dy = 0

A: The given differential equation is exact, so solve this by the procedure of exact differential…

Q: 4. dx √-x² + 6x

A: 4.We need to evaluate the following integral,⇒I=∫dx−x2+6x ;

Q: 1. [(2x-3) (4x2– 12x)* dx

A:

Q: 3/4y +1 dy 2. Evaluate 0,

A: Given: ∫0234y+1dy Substitute, 4y+1=u dudy=4dy=14du =34∫udu ...........(1)

Q: If z = 3x² + y² and (x, y) changes from (1, 1) to (1.05, 0.9), compare the values of Az and dz. dz =…

A: The objective of the question is to compare the values of Δz and dz for the given function z = 3x² +…

Q: cln x e L L ² L the we Evaluate yez dz dx dy.

A: Given problem:-

Q: 5. (x2 - y?)dx – 2xydy = 0 %3D

A:

Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

Q: 2. * Evsluate O 4 | dx Evoluate @ 12-X

A:

Q: 1. (4xy? – 6y³)dx + (x³ – 8x?y + 9xy²)dy : |

A: Substitute x=yv

Q: 1 B3. Evaluate dx, using substitution method.

A:

Q: 7. Find for x2 + y² = y dx 2x а. 1-2у 2x b. 2у-1 с. 1-y d. y-1 e. None of the above

A: