3) What iS used suitable ntegrating factor that ca be the epuation bela a to Solue Do not solue the equation, please Just frid the Mlt): cos (t) y! + Sin lt) y = t²

Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

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Q: Exercise 2) Find D constant in the following O(0) function O= D Sin? 0.

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Q: use Theorem to find 31) F(A) = 4t? 5 Sin 34

A: To find the Laplace transform of the below function using the theorem. ft=4t2−5sin3t

Q: liu cos? (x) 1- sin (x)

A: Formula used: Sin2x + cos2x = 1 a2 - b2 = (a - b)(a + b)

Q: find show that Q Coshz =CoshX Cosy+isin hx Siny

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Q: 꺼니 Sin (t) dt Cos? CE)

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Q: - Sint - COS 2 sec E) tanC)

A: Recall: sec(x)=1cos(x)tan(x)=sin(x)cos(x)

Q: Q.43) 2n S Icosx – sinx|dx =

A: Here we have to find solution of given integral

Q: 4 cos z Evaluate S 16-y2 ydxdydz

A: To solve the given triple integral ∫0π∫04cosz∫016−y2ydxdydz…

Q: B) Find f cos5 x dx C) Find f cos2sin2 x dx

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Q: 9. Decide whether or not the following equations are true or false: e° = cos" r + sin² r = cosh? r –…

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Q: Let &(t)-(a cost,a sint,bt), then T(t) 1s: (-a sint,a cost,b) (-a sint,a cost,B) (a sint,-a cost,b)…

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Q: Hw) if J-0- Gso and X=O+ Cas e Show that Sece+tan 0

A: The given differentiation can be solved by using chain rule. Initially, the y expression can be…

Q: cos C25+) Se sincas+) dt

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Q: Plot each complex number: 1. -3i 3 2. 1. -2 -1 5. -11 -2

A: In complex plane  z = x + iy    = (x,y)

Q: If sin 0 + cose =p and sec 0 + cosece = q,show that q (,? – 1) = 2p

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Q: Find Sinczx), COSCZX), and tan(zx) from the information Cos Cx) = 07(めつら) %3D(x2)U:S %3D(x2)Unt

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Q: Conjugate harmonic function of u(x, y)= =x²-y? is,

A: The objective is to find the conjugate of harmonic function ux,y=x2-y2

Q: from Evaluate cos r sin x dr.

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Q: Draw the greph- (4) y = -4 sec (17X), find T.

A: