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Q: ean theorem state the Pythagores first and then strate the converse of Ha t this theorem.

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Q: Find the Volume 6t prime bounded Parabolid ( top Surface) z = x'+y regi on in M=2y, ソ=o the by the…

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Q: Prove the identity. COS x+ 2 = tanx C. cos (+x)

A: Some common trignometry identies are :Sinπ2+x = Cos xCosπ2-x = +Sin xCosπ2+x = -Sin xtanπ2+x = -Cot…

Q: 2. (a) Let f be defined for all x, y by f(x, y) x-y - x. Show that f is concave (i) by using Theorem…

A: Given: a) f(x, y) =x - y - x2 Theorem 2.3.1: This theorem says that if f is twice continuously…

Q: Evaluate p* sin 0 de dr.

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Q: Show that (1 + ism) 1+ Sn-1 añ = 1.

A: it has to be proved using identities that:.

Q: Verify Stokes's Theorem for F = z²î + x²j + y?k and S is the surface z² = x2 + y2, y 2 0, and 0 szs…

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Q: Use Euler’s Formula to find ii

A: we know that  i=eiπ2 so, ii=eiπ2i=ei2π2                                                  ∵…

Q: What is Lagrange's theorem?

A: Lagrange theorem is one of the central theorems of abstract algebra. It states that in group theory,…

Q: Verify the identity. (csc? 0+ 1) (- cos? 0+1) = 2- cos? 0 Which of the following four statements…

A: our objective is to verify the above identity.

Q: 4. sec x (sec xtanx) – sec* x (sec xtanx) = sec' xtan x

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Q: 6. S cos³ y cot y dy

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

Q: 1 1 -2 cot x csc x x %3D 1+cos x 1-cos(-x)

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Q: Verify that the equation is an identity: (1/(sect-1)) - (1/(sect+1)) = 2cot2t

A: Here the objective is to prove the given trigonometric identity

Q: 1 tan 0+ 1 sin 0 sin (90° – 0) tan 0 -

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Q: tan v sin v tan v - sin v - tan v + sinv tan v sin v

A: We have to prove the identity                                  tanvsinvtanv+sinv=tanv-sinvtanvsinv

Q: Explain Rolle’s Theorem with a sketch.

A: According to Rolle's theorem: If a function is continuous on a interval a,b Function is…

Q: 1+sec2xsin2x=sec2x. Verify the identity

A: To verify the trigonometric identity given below:

Q: frunction Vercaty the u Cmiy) = verity the eelen's thertem Lore

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Q: Let f(x, y) = (xy - y) cos(y) x² - 2x + y² + 1 does not exist. Find the limit of f(x, y) as (x, y) →…

A: We need to find limit limit(x,y)->(1,0)f(x,y)=limit(x,y)->(1,0)(xy-y)cos(y)x2-2x+y2+1

Q: 1- cos 0 1+ cos 0 sin 0

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