Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² + y²)

Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

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Q: VOLUMEN √√10 -SV = y²+5 y215 10 y²+5 -(10-x² - 2y²) dxdy - - 10 (x +y) dxdy 3y² +5

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Q: Let z = x +3xy+ 2y . Find and

A: Given function is z= x^2 +3xy +2y^2

Q: Clear my choice 4x + 11 dx %3D 11 +c 2x2 4x 11 +c 2a6 4 O 4r + О 4 2x2 11 +c 2x2 4x + 11 +c 6x2 4x +

A: we need to integrate the given function ∫4x3+11x3dx

Q: 5. Use geometry to evaluate (V4- x² dx 2 O 2n O 4t

A: Solution:

Q: 4=6xt -11 t.

A:

Q: dx 19. Evaluate using substitution f V5-4x-2x2

A: I have used method of substitutions

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Q: Answer 6. Solve (2y² +2y+4x²)dx+(2xy+x)dy=0 6. C=x°y* +x*y+x

A: Given differential equation  2y2+2y+4x2dx+2xy+xdy=0.....1 Compare equation (1) with Mdx+Ndy=0, we…

Q: dz If z = w", then is equal to: dw 7x7 w(1 – 49z8 In w) 7z'w7z²-1 7z8 w(1 – 49z7 In w)

A: topic - derivatives

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Q: C (3y-six) dx + (7x + √y² +1) dy

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Q: ntegrate: 16x³ + 64x² 7x +41 16x² +9

A: ∫-16x3+64x2-7x+4116x2+9dx Lets first divide using long division.

Q: 6xy — 2x — 8zx2 = 0 6xy — у — 2zy2 = 0 4x² + y² − 2 = 0

A:

Q: EVALUATE AND SHOW THE COMPLETE SOLUTION ON THE FOLLOWING: +2 dx | 4 + 4x +x 1)

A: ∫x2+24x5+4x3+xdxfactor the denominator:=∫x2+2x2x2+12dxpartial fraction decomposition of…

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A: The given integral ∫2m-am2-am-a2dm. We have to find the integral value.

Q: -dx. (3x² + 1)ª Evaluate -1 +C OA. 18(3x² + 1)³ O B, In(3x2 + 1)ª) +C 1 OC. + C 18(3x² + 1)³ x2 +C…

A: Given- ∫x3x2+14 To find- The value of the integral

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A: Given integral is ∫4dxx3−4x2+8x First take a partial fraction of 1x3−4x2+8x, we have…

Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

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A: If we find partial derivative of any function f(x,y)  with respect to x then taking y as constant in…

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A:

Q: Q/ Solve the DEs: 1-a+ykdx+(1+x*)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: Find xy2 √ R x2 1 x²+1 dA, R= [0,2] x [-4,4]

A: First, we need to identify the limits of integration. The rectangle R is defined by the vertices…

Q: Prov that d dx 2cos2x = -2sin 2x

A: Solution is given below:

Q: aff (² Find (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

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Q: Find mJKL D 14x+3 L 14x +9 K

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Q: If W = 2x 2 + 3xy2 - 20y-2+ 6u; where x = 5u2 +4v 2 and y= u - 4v3 , find §W / §V.

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Q: Evaluate x² I VID √16 - x² dx.

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Q: 5x² + 19x - 1 (x − 2)(x² + 3x +7}

A: NOTE: Refresh your page if you can't see any equations. . find the partial fraction…

Q: Evaluate: J(7x3 + 4x²)dx A None of the given choices 7x4 4x3 B + C 4 3 21x4 +8x3 + C 7x3 4x2 D + C 3…

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