Suestion s A then what the equiralent 3. of Man

Q: ner order ential e = 0; y(1) = 0, y'(1) =

A:

Q: Prove the absorption law of x + xy = x using other laws of identi

A: to prove x+xy=x x+xy=x1+y use the identity law x+0=xx·1=x hence,  x+xy=x·1+x·y

Q: De Moivre's Theorem

A:

Q: ntegral Sa F . 0) & (1, 1)

A:

Q: cosecyldyzo. Anes C.

A:

Q: Complete

A:

Q: Stokes's theorem is a special case of the theorem of Green.

A:

Q: いpO O siniz iff Z-kTi,K-o,っ3リーー Sin iz ニ

A: we have to prove that siniz=siniz¯ if and only if z=kπi, k∈ℤ.

Q: & lve by line x=+I and line y I

A: The integration of [(x2+xy)dx + (x2+y2)dy].

Q: 1 + cosh(x) 1 + tanh(x) 1- tanh(x) 1 cosh(x) cosh(x) + cosh(x) – He* + e*) + e* - o*) e* + e*) - e*…

A: The objective of the question is prove the given identi

Q: decimal places.) Show ALL work. 2³ sin(x)dx, n = 8

A: Given,            ∫04x3sin(x)dx;    n=8

Q: tion attache

A: Here we have to find the equation of hyperbola,

Q: Area model to compute 1.5 × 2.5. How do the units change?

A: In area model first component 1.5 has unit and second component has the same unit.

Q: ma X well defined ? 2.

A: The greatest integer function of a real number x is represented by f(x) = [x] or |_x_| For all real…

Q: Bessel's Function Find Jg (x), JE cx)

A:

Q: f(z) = 3 sin I+ 3 cos z, а (-п, и) on

A:

Q: proof Laplas sinh (at) = 51

A:

Q: (sin z)(sec z+ cot z) da

A:

Q: approximations are n ur answer in exact for. EO" to represent /.

A: we have to use a sum or difference formula to compute the exact value of cos7π12

Q: k xy' - y = x*y"

A:

Q: sec* z tan' eda 3 Evaluate

A: Given integral, ∫sec5x tan3x dx

Q: Tential eauation system ransform theor em + X - 4セ+キ %3D

A:

Q: (2) lim (1+2sin(Vz)]cot =

A:

Q: Bessel's Function Tutorial sheet J, (x) Find ý and ý 2. y =

A:

Q: X + |

A: topic - indefinite integral

Q: 20. A certain substitution gi

A:

Q: 2. dx ( Ans: y –1= Ax²(y+1))

A:

Q: zin (sechzy + tanh y) Inlescx + cotxec

A:

Q: Limi Delermine wbikr Hi Lim 3z4

A:

Q: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

A: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

Q: Soution to Alve Initial vaue Find fhe probiem y)= 2. with inital Conditions

A: Solve by variable separable form.

Q: sin x – e-* = 0, [0,1] %3D

A: the given equation is sinx- e-x=0  The given interval is [0,1] the formula for the false position…

Q: nterval est Value ign of h" (x) Conclusion

A:

Q: sinh (u + v)= sinh u. cosh v+ cosh u. sinh v и.

A: Consider the Identities for hyperbolic functions and expand the given expression.…

Q: ar function = (1, 1, 2) i

A:

Q: cosh (z) = eIz-e-iz 2i +e-iz 2i +e- 2 2

A: Use the standard formula of hyperbolic cosine function.

Q: hajority of people think th e's freedom. Given the co

A:

Q: PART I. DIFFERENTIALS Using differentials approximate the value of the following 5. √64.05

A:

Q: Bessel's Function Tutorial sheet 2. If x Jg, (x) Find ý and ý %3D

A: Solution:-

Q: What ae the Singularity Functions?

A: A singularity is a point at which a function does not possess a derivative. In other words, a…

Q: Hospital's Rule where appropriate. If there is a more elementary method, consider using it. =c(x) –…

A:

Q: Scosx(bin x – sin’ x)&x. cos x(sin x – sin³x)dx. Evaluate

A:

Q: ation vith the in order m

A:

Q: Bessel fundion Satis fies veyi fy that the Sinx the Bessel equation of

A: We have to verify that the Bessel function J12x=2πxsinx satisfies the Bessel equation of 12.

Q: sinh(1 + iπ/2)

A:

Q: A real number, there is a relationship between the two functions let v(x,y) = xsin(t") - ycos(t") ,…

A:

Q: Flua Hhe derivative °6 tue fundion by using |st principle metleod. f(u) u(u+4) + u"+u+s) %3D

A:

Q: 1) Let Y= x² Find cdf and PDF 2) Let Y= e, Find cdf and PDF

A: From the given graph, it is observed that the random variable X take values in the interval -1 and 1…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.