4y2 У(у + 2)(у — 3) "У 7у — 12 dy '2

Q: 2 A manufacturer makes a product, of which the principal ingredient is a chemical, X. moment, the…

A: From the given data, State of nature Course of action    S1 (Use Y and Z) S2 (Use X)…

Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: Integrate: ∫sec^(3)2xdx

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Q: max value for y

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Q: integral -{cay,a> 91-) Evoluate te nplhas)ss - 24x<0, Ocyc1, -16241} . where

A:

Q: 3. tet-lu(t – 1) 4. t cosh 2t 5. (t – 2)²et-!u(t – 2) 6. te-'u(-t)

A: To find the Laplace transform of the given functions.

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: 18y sin3 9y2. 10) +3 cos V9y2 + 3 dy + 3 cos

A: See the attachment

Q: 5 Find xy dydx. 4

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Q: 6. Solve (cotx - 1)(2cosx + 1) = 0 where 0° sxs 360°. Show your work. %3D

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Q: 29. [sin (9y)sec (9y)dy

A: Use the formula sin2x + cos2x =1.

Q: 2 max f (2х + и)dte dx - 5 — и?, x (0) 3D1,x(2) freet dt

A: Given: maxf=∫02(2x+u)dt dxdt=5-u2,     x(0)=1,      x(2).free

Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

A:

Q: : )-+(÷), zw= (C) dx 1 et %3D dt 1 (: :)-+(-), -= (C) dx dt 1

A: Given dxdt=0110 x +ete-t Here let take A= 0110A-λI=-λ11-λ=0λ2-1=0λ=±1 Hence the eigen vector for 1…

Q: An ant is standing at the point (1,1,3) on the surface of a bowl with equationz=x^2+…

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Q: dN₁ dt dN₂ dt 5N₁ 1 N₁ 20 N₂ 17 9N₂ 1-- N₂ 20 N₁ 17 1.6- 0.6-

A: This is a question of the equlibrium of the system.

Q: 3. S sec z tan z dz 2 2

A: Given: 3.∫sec23z tan23zdz

Q: (雲) 1 dy tion 1+ is = 3 dx wy da 3, 1 12, 1 1, 15 15, 1

A: We have to choose the correct answer

Q: 2. [2x*tan y – ysin (2) – 1] dx + [xsin (2) + x*sec*y] dy =

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Q: 7,9,-4) y dx +x dy +3 dz = (5,4,1)

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Q: (cos 2y-3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: Given : Differential equation cos 2y - 3x2y2dx + cos 2y - 2x sin 2y - 2x3ydy = 0   To find :…

Q: = vt – 2, d²y t – 2. d²y y = t² – 3' dx2

A: x=t-2y=t2-3

Q: 1/2 x3 dx 1- V3 - 15 15 2 16 Option 1 Option 2 1 15 V15 16 8. Option 3 UOption 4 IN

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Q: Evaluate f, f,(1-2) L(-dy dx dz

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Q: Jz{sinh³ 4z*)'^ ² - dz 1/4 cosh³ 4z'

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Q: Atom can't be stable in classical mechanics صواب İhi

A: An electron is negatively charged and is accelerating with centripetal force about nucleus. Now, any…

Q: (cos 2y – 3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: We will find out the required solution.

Q: tanx 4) S Edx Cosxv1+secr 5) S(1- u)vudu

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Q: (2y) dy. CSC

A: We will start with the substitution, csc-1(2y) = x and apply the integration by parts. And, will use…

Q: Sec-S 2 1 TanOLO

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Q: sec Vn du in

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Q: (12z – 12z2 + 71z – 77 Integrate: 4x2 + 25 - la( |42° + 25|) – arctan X + C

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Q: Find 2. dy of 2.

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Q: Birinci dereee difrensiyel denk lemin yl1)- Otel Corimino bul. et (t+1) de+ (yey -tet)dy-0

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Q: (1-) ex, 4. S ex 2dx

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Q: (1,2,3) (0,0,0) 4x³y dx + (x²-25) dy-5yzª dz

A: Find the value of function using integrate Compare the given expression with Mdx+Ndy+Pdz to obtain…

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

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Q: 2Linear edluotion 5. dy dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: .3 1+ at dt

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Q: 2. [ y dy dx carctan3/2 3 secx 3/2

A: Topic  = Integration

Q: 3. Stanh3x dx = Jsinh3x, Ssinh3x_ dx %3D u = cosh3x du = %3D

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Q: ly 3)[e^(-2y)]dy

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Q: 3 ( tann cax) sech' cax) dx Iet v = +anh Cax) = 2 sech cax) dx dx = du 2 sech' cax ) u sech ca* ) du…

A: We  calculate it by using only  calculator. Where we put value of tan(6) as value of tanh(6) and…

Q: dy+チ=-

A: Note: Since you  have mentioned multiple question, I answered first problem. If you need answer of…

Q: * 2e² + 6z² – 8z + 6 cosh 3z dz ez + z3 – 2z2 + sinh 3z |

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Q: 2olue dy %3D

A:

Q: Sin'z dz 4.

A: Note :- These are multiple questions and you not mention here whose solution you want. So i am…

Q: J7 -dz 21-8

A:

Q: (a) Sizl=1 dz.

A: Here we use property of analytic function.