2 4 Evaluate Sx dz dy dx 3

Q: 5. y(x³e*y – y)dx + x (y +x³e*Y)dy = 0

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Q: 1. Evaluate L²S³ (2y³ + x²y) dx dy

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Q: 1.S (3x5 – 2x – 5x – 3) dx 2.5 (y? – 1) (3+2y) dy 3.S V + 5VX³ dx

A: Dear student. Since you have posted many sub-parts, in our policy, i have answering the first…

Q: 2х+3 3. S ·dx (х+1)(x2+4)

A: We have to find the given integral. We will use partial fraction decomposition. We know that-…

Q: Evaluate | |xy² dx dy. 1

A: Evaluate the given integral as follows. ∫13∫03-y2xy2 dx dy=∫13∫03-y2xy2 dx dy=∫13x2y2203-y2…

Q: 6 iven differentinl ....(1x) dx = 2x+y with (2*)

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Q: 2. (3x +y)dx – (x+3y)dy = 0 2. y = 2 when x = 4

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Q: *y=(2x^2+6) find dy\dx 4x\(2x^2+6) O 6x O 4x\(2x^2+7) O

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Q: 4. Find dy/dx og y = xsinx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

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Q: 2 4-x xey – dy dx 4- y b. 0 0

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Q: 26. Evaluate (x³ + y² + z)dx dydz.

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Q: 9. (3x – y + 6)dx + (6x – 2y – 6)dy = 0 hint: Case 1 %3D

A: Given

Q: 4- Determine an expression for dy/dx. 3(y-2)3– x= 4x - 6.

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Q: 25 x²y dx = (x³ – y³) dy; y(1) = 1 |

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Q: 7. (x + y – 4)dx – (3x – y – 4)dy = 0 when x = 4, y = 1

A: Given:x+y-4dx-3x-y-4dy=0

Q: 4 2 S[(x) dy dz 0 0

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Q: 5.5 dy √y.evy 6. Š dx X+ e 7. fete d dx 8. fdx

A: Here we have to find the integral.

Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: 7 (x³ + xy²) = 2y³ dy dy 8 (x2 – 1) +2xy = x %3D dx

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Q: 5. (2x – y) dx + (4x + y – 6) dy = 0.

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Q: 2. (х — 4у — 3)dx — (х — бу — 5)dy %3D 0 |

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Q: 1. S+1)dy y2+4

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Q: 7. Find: y = In dx √6x-5 [ Lex (x+1)³.

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Q: 9. 23/2 3√x+1 - S dx

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Q: Evaluate: ₂1+ 2y dy dx ₁¹

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Q: 2+z² – xy dz dx dy Evaluate

A: The objective of the question is evaluate the triple definite integral.

Q: If y=(x 2+6) 6, find d 2y/dx 2.

A: We can solve it by doing derivative.

Q: 21 dy d²x = 2(3+x² 2 dy xy)/x³

A: See the attachment

Q: 1. f o¬* xy dy dx О а. 32/3 O Б. 16/2 Ос. 32/4 O d. 18/4

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Q: 3 Evaluate: ³₂²₁²[z³(x + y)³] dz dy dx

A: When a triple integral is performed, then the innermost variable is integrated first, then the…

Q: 4) 2 dy +(2€n$y+!) dx = 0

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Q: 26) (2y + xy)dx +2xdy = 0, y(3) = /2

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Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

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Q: 2 ГБА 0 4 - x - y dy dx

A: ∫01 ∫024-x-y dydx

Q: Q5. Evaluate ſ^₂ ¹¹ xy dx dy. ry+1 y²

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Q: 3 [[ 3x² + 4y dy dx = [[ 3x² + 4y' dx dy 4y³ We have Select one: True False

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Q: 7.xy + 3r + (x + 12),² ; dy (² + 1³); = 0 dx

A: see 2nd step.

Q: 6. 2 I (ve**)dx dy у /2

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Q: ^4-x² •6-z 2. Evaluate: dy dz dx. 3x2 4-z 3. Evaluate: dx dy dz. Jo Jo 0.

A: To solve the given triple integrals

Q: 1. f o" xy dy dx О а. 32/3 ОБ. 16/2 Ос. 32/4 O d. 18/4

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Q: 7. (у — 2) dx + (3x — у) dy — 0. ANS. 12x = 3y + 2 + c(y – 2)-3. -

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Q: 1 1 Evaluate f dz[ dx [ e dy. бе/3 (бе-б)/3 О бе-6 6/3

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Q: Evaluate (S(x+ 2y)dy) dx. О а. 5/8 O b. 8/5 Ос 3/16 d. 16/3

A: solution:-∫02∫0xx+2ydydx=∫02xy+2y220xdx=∫02x2+x2dx

Q: Evaluate (S (x + 2y)dy) dx. О а. 5/8 ОБ. 8/5 Ос. 3/16 O d. 16/3

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Q: Find dy dx dy dx if y= x³ + 7x + 5 2² +6

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Q: 3 Evaluate: 2₁ (4x²yz - 2 ) dz dy dx 4

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Q: 2 8 (x² – 2y2) dx dy

A: We need to integrate∫12∫08x2-2y2dxdy

Q: 1. Evaluate xy Vx² + y² dy dx 00

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: dy т3 + 6х + 8 Find if y dx x2 4 dy 3x2 + 6 x4 18x? 16х — 24 - | dx 2x (x² – 4)? - || ||

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