FCx) is continoos on L3,5) and S Fex) dx= 5 Evaluate integral

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Q: 5) 2 [4x 4x + =dx X

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Q: Q₁) Find Jz dz 1. along the contour integral c from 1+i directly to 3+i3? 2. along line from 1+i…

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

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Q: For questions 8 and 3. consider the line integral Sx2ydx+xydy

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

A: See the attachment

Q: E) INTEGRAL : 9.) S(5t3 + 2t? – 5t – 50)dt 10.) S(3x2 + 2x + 500)dx

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Q: aw and ar Q2) Find if as w = 2x + 4y - z, r+s X =r tan (s), y= sin (r - s), z=e**s.

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Q: Q3) Evaluate triple integral ffydz dx dy.

A: Triple integration found by successive integration

Q: 5) Evaluate the integral.cusc c for the constan6 of integrafion) 2(ean cx) +6an cx>) dx

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Q: How do I show that d(x,y,z)/d(p,phi, theta) = (p^2) * sin(phi)?

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Q: angleO: Find a Tayler saries for Hhe Sunction fa)= In G) contered at a=I

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Q: What is §3dx, §5du and §e^u dt? Those are integrals

A: a) We factor out 3, then integrate. c=integrating constant

Q: 7) Evaluate the integrals a) 3(x + 1)²dx b) secx (tanx +cosx )dx

A: An indefinite integral, also known as antiderivative, is a function F(x)=∫f(x)dx such that…

Q: Evaluate sczxay) dx^ (x+ 3y) dy along the poth C: ure on y =1-3 from l0,)) to Cl,0)

A: Line integral problem......

Q: Pind the derivativa otthe Pollowing の3=2 Sin'Csx) In coshラX 3 =\nx (3) Xsin 4y=Jtan YX

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Q: Without integrating, explain why: S, ?)°dx = o x(1+ x* -2

A: To show:     ∫-22x1+x22dx = 0 (without integrating)

Q: of the qurdrilatuol with vutics (-1,4);(2,5), (o,0) and (4r1) 1. Fmd the area

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Q: Q4A) Find area bounded by y = 0, y = 1-x²,x= 0 and x = 1. B)Is w=zx¹ analytical function or not? 2 2…

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Q: How is the area y > -1 converted by mapping w = iz ?

A: Given area y&gt;-1 mapping is w=iz Let w=u+ivz=x+iv

Q: f0に4x°cotらx の fxメ- Cus 3x find dy/dx

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Q: 22) By using an appropriate substitution, the definite integr al Sin (3x) Ccos (3x)-1) dx can be…

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Q: Ôz Ôz If Z= tan"'(2) -= 0 show that : *-+ y ôx ôy

A: Let us consider function z=f(x,y) Where f is function of x,y. ∂z∂x represents partial derivative of…

Q: C)u= Inx, dv = ln x. dx (5) If x = 5sine,≤0 ≤ C#/2 D)u= x,dv= Then tan 0= A) 11 √25-x² B) √25-x² T…

A: Given that, x=5sinθ , -π2≤θ≤π2⇒sinθ=x5

Q: * sin x 2. SS y dydx ans: 4

A: Using Double Integration

Q: Find the area bounded by the given curves. 1) y = x³, y = 8, x = 0

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: The integrating factor of the DE 2 cosh x cos y dx = a) sinhx b) cosh x c) tanhx d) coth x sinh xsin…

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