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Q: 31° 66°

A: We know, the sum of interior angles of a triangle is 180°.

Q: Consider Question 3 of this test. Suppose we are interested in testing Ho px = py versus H1: px #…

A: Given information: The asymptotic distribution of likelihood ratio test statistic is required.

Q: Reduce A and B to their triangular echelon forms U. Which variables are free? [1 2 2 4 6] 2 3 69…

A:

Q: 6) Find at least four nonzero terms in a power series expansion about x = 0: %3D (1 - x²)y" – y' + y…

A: please see the next step for solution

Q: cotx(secx-cos x)

A: We have to find  cotx (secx - cosx) We know that ,  cotx = cosx/sinx secx = 1/cosx  Then ,

Q: 1) Solve the IVP: y" + 2y' + 2y = 5 sin t + 5 cos t : y(0) = 1 and y'(0) = 2

A: Given initial value problem is  y''+2y'+2y=5sint+5cost, y(0)=1, y'(0)=2. Let y'=dydt=Dy and…

Q: In cot(1 – 4i)

A:

Q: Verify the identity: cos(3x) cos(x)(1 – 4 sin? (x))

A: we have to verify the given identity. the solution is following

Q: 6. If a series £u, converges to the sum u then so does any series obtained from Eu, by +he torms in…

A:

Q: program chairs of St. Michael Academy using 5% level of s με με με Alternative Hypothesis (Ha):

A: Let a treatment A be classified into k levels then, to test the equality of k levels means, we will…

Q: 4) Find at least four nonzero terms in a power series expansion about x = 0: y" + (x – 1)y' + y = 0

A: So we have a second order homogeneous ODE to solve. We will use the standard method of power series…

Q: such uav mauHk A – €l 1s m..auble. IS (c) ( 3) Let A, B be two n xn matrices and both A, B have…

A:

Q: flx). a/2)=6x+6.and hlx) -alA 88

A:

Q: (d) Number of ways to draw exactly 2 kings or jacks = 30,408,224

A: The combinations formula is, nr=n!n-r!r!

Q: xyz'w 9) Simplify

A: From the given problem:   Simplifyxyz2w-4x3y-1w7   So,   xyz2w-4x3y-1w7=xyz2w-4xx2y-1w7...(Taking x…

Q: (d) Let A E M3x3(R) and , ij, Z ɛ R* and they are linearly independent. Suppose that we have A = ,…

A:

Q: Find the 19 ad gud deruaitive 5. and =55" 25 dr- ds

A:

Q: Construct QJ so that QJ = TR - PS.

A: From the given data:

Q: Find the quotient (1+i) 10 1+/3i )A. 10(1+/3i)- O B.6(V5+21). OCs(V3+i): OD. 16+ Si OE -s(V3-i). D.…

A:

Q: 14) Find CA 12 14 3+3x L. 4x+1

A:

Q: 5. Assume that the helium porosity (in percentage) of coal sam- ples taken from any particular seam…

A:

Q: 5) (IVP) Find at least four nonzero terms in a power series expansion about x = 0: (x² + 2)y" +…

A:

Q: 7) Find the Laplace Transform. L{e" sin 61 – t³ + e'}

A:

Q: Evaluate ftan tan4 r sec4 rdr +C

A: M=∫tan4xsec4xdx1+tan2x=sec2xd dx(tanx)=sec2x

Q: Fod ble Jecond deriyalive of Hhe Aullowing funchon g lx) = Inca=43)

A: g(x)=ln(x2+3)

Q: 8 XZ = 2 x 1/² √ √²². ². ² oy d ²² e e dy dx 2₁ 0 88 XZ = = 5 + + dyck why Sow disappones. ? 1 2 2 e…

A: Basically it is typo,It should be there.