5

Q: Find LOVE LOVE 0 0 [Trysin(x² + y²) dady

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Q: R E Given: m BE = 36 тве Y L LEYL is a right angle M LEYR = 77

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Q: lim 20 sin(Tx) cos(2x)

A:

Q: For &) r 0x xi روا show that ܕܕܥ in the region where #0

A: Given that .We need to show that (a) , and (b)  in the region, where  in .We know that .

Q: (3) Prove that n=2²°² is a square. 2K+1 where K = 1 $ (n)

A: This follows from the definition of euler Phi function

Q: What is the coefficient ot x" in (x+3) '9? What is the coethicient et x? in the expanson ot lx +2) 4…

A: Binomial theorem expantion

Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

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Q: e start at (0,0) and want to reach (6, 8). How many ways can we do this, assuming that we can only…

A: To determine the number of ways we can reach the point (6,8) if we start from (0,0).

Q: dz IV100-49(In z)?

A:

Q: show that 1+1/(3)2+1/(5)2+1/(7)2+...=(pie)2/8 using Eulers pie2/6 equation (show all steps please)

A: The given question is solved below.

Q: Simplify: 8x+7 y-10 9xy 11axy 79xy+77y+90x O A. 99xy 79xy+77y+90x 99x²y 90xy+77y+79x 99x y .2 O B.…

A: 8x+79x2y-y-1011xy2=(8x+7)11xy2-(y-10)9x2y9x2y(11xy2)

Q: 49

A: ln4te6t

Q: I get the meaning of subscripts much better now, but I don't see how Sn(1-r) = 1- r^(n+1).....…

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Q: Evaluate - DI 2 x (√Vin(4-x²)).

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Q: Ify = 5+5 In x - 2e" dx 5. -2e" O a) 5 + O b) 5 In(1) - 2e O) 5 2xe-1 d) 5 2e" Oe) 5 + 66

A: Given y=5+5*lnx-2*ex so differentiation of y is dy/dx

Q: y" - yy' + sy ( чу! = 2X (x+2) e sinx

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Q: {b_n}={3^n/n!}

A: We first expand the summation sign