4-z 12 3z-6y Evaluate So So So² So (i +l+o+v+e+m+a+t+h) dz dy dx 4.

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: Evaluate (423 + 3y? + 2z)dV B = {(x, y, z) | 0 < æ < 3,0 < y < 2,0 < z< 2} .

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Q: Z+ 22+3 dz (2-9(22+4)

A: As per bartleby guidelines we only give first question answers.

Q: D7 + D® – 2D$ – 2D4 – 7D³ – 7D² – 4D – 4) y = 0 - - - -

A: follow next step

Q: (x-2)² + (y+1)² =16, find- A. 16 (y+1)³ d²y dx² B. 16 (y +1)³ C. 16 y³ D. 16(x-2)² (y+1)³

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Q: 28 If √1− xº + √1− yº = a³(x³ - y³) lf dy 1-y6 2 x²

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Q: Find ¹ (3x + 5y)dA where D = {(x, y) | x² + y² ≤ 16, x ≥ 0}

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Q: 2x³ – x² + x + 2 y= (: dx%3D C D + x + 1 Consider dx. , find A+B+ C+D. x4 + x3 x3 5 4

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Q: 2y³ + y y4 + y² + 1 (e-y. V5+ e-y

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Q: C (3y-six) dx + (7x + √y² +1) dy

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Q: 22 +3 z* – 22² + 1 8. Evaluate +el/dz, C: |z-i– 1|=2, CCW.

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Q: Q4 Integrate the following: (a) 4ln|x³| + C x3 dx (b)+C 4 (c)++C (d)+C

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Q: 1 х — 2у 2x + 3y y -

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Q: 2 dx dy 2 2 4+x +y -√√² √√4-y² So

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Q: Xxy-Z = Gauss eleminatin %3D 2X -y42=5 -x +2y+23 or

A: We have to solve given problem:

Q: d²y Given that x3 + y³ = 2, prove that 4х %3D dx2 y5

A: Given problem:-

Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: 252 EXERCISE 9E 1 Evaluate: a d a [²3x² dx 2 Evaluate: d (10-x²) dx ²(3x²-2+)dx √(1-x) dx b e b e…

A: 1)e) The given integral is 4x2-2x, limit from -1 to 2.  2)e) The given integral is [(3-x) (8+x)]/x4,…

Q: o Evaluate , S, Só (x – 2y + 2z)dz dydx.

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Q: (c) SO YOUR TURN 3 [(ar²+ Find (6x² + 8x-9) dx. b R. Exam the de

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Q: dz (9-z2) 2 Select one:

A: We have to find the integral.

Q: If y = (5x+ 1)(2x- + In x), then will be dx A. (5x + 1) (+;)+5(2x-1+ In x) В. B. (5x + 1) (-) +…

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Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

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Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: Resolve yDx-2(x + y)Dy = 0 O x² + 2y = cy² ○ x + 2 = cy² O x + 2y = cy² Ox+2y=c

A:

Q: cln3 dx (b) (10 points) Ф) (10 роints) z et n2 e*-e

A: We use the definition of the integral of functions and partial fractions to evaluate the given…

Q: (a) ах = Du DE = du, ada voa waye by oz + + + 2x DE 2. (x²= y² + x) x (2x+₁) + (-2xy-9)x (-2y) (2x +…

A: We have to simplify (x2 - y2 + x) × (2x + 1) + (-2xy - y) × (-2y)