(A\C) U(B\C) = Cu(BIA) %3D Prove this equivlance usaing set propicties: sta se

Q: VIt)= 9, ēt oS 27 + #2 e .sint constants. Find the resuit of the given expression be low, +2.d Va) 6…

A: As we here differentiate the v(t) =a1e-t cos 2t + a2 e-t sin t and, find the result of the…

Q: 6. Let the joint probability density function for (X, Y) be 1 = eY, -у f(x. y) 2 0 < y<∞, - y< x< y,…

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Q: p) Classify the following models as ARIMA(p,d,q). i) (1-B)x, = (1-0.3B),. ii) (1-0.5B+0.25B²)Vx, =…

A: ARIMA means auto regressive integrated moving average, It ia also written in the forn ARIMA(p,d,q)

Q: ind an equation of tar y=snnc25-x²) (50) ngent lir

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Q: I--I---A sin dydx sin:

A: Given I=∫x=12∫y=xxsinπx2ydydx+∫x=24∫y=x2sinπx2ydydx In the given function variable y is in…

Q: dx e) J 25+162 25+16x2

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Q: a.) √ 1 csc² x+sec² x cosx-cos³x - dx

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Q: 4) The inverse of y In a2 is: a) x = a" .b) x = a²y, c) y = a* . d) y = ax 5) the derivative of 5tan…

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Q: Find the B.C.R let XXgg, Xn vN (@,1) H:0-2

A: We have to find the best critical region which we will find by using neyaman Pearson lemma.

Q: D Question 18 Differentiate. y = (9x+5)*

A: 18. To differentiate: y=9x+5x

Q: dx Evaluate: a) - x² +4x + 20

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Q: O Find and sketch domain f he tun ction a) し (a-22-5) %3D + Sy. x²+y?-4 %3D c) f()= Vy-I lu ly+2)

A: Domain of a function is basically set of values on x-axis on which the function is defined, i.e. set…

Q: Sechu =-Sechu-tonhu Jor dx

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Q: 1 d) S e) S csc³x cot³x dx f) S dx x2Vx2 + 4 dx

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Q: Q.22.a) S Vx cosvx dx (hint: let u=V) =Vx, et b)S adt et+let

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Q: Evaluate: -π π sin (y) y dydx

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Q: Prove that f-(U B: -U(B.), %3D i=1 i=1 and n N (B.). 3=D1 i=1

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Q: aw b- if w = x + 2y + z2, x , y r2 + Ins and z = 2r , find the value of ar .rk)

A: We will solve the following

Q: t3 dt 6) f Vt2 + a?

A: Given Data The integral is     Let,

Q: Suppose that a, b € Vand S V2 are given. By expressing these quantities in a coordinate frame, or…

A: Given information:Two vectors a and b in a vector space ν.We also have a 2nd-order tensor (matrix) S…

Q: 6 ft 8 ft

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Q: and 3 point Gauss Quadrature 2 By using e sfim afe : 2 dx メ-2 い)S, dx Nx

A: The given problem is to estimate the integral using 2 point gauss quadrature rule and 3 point gauss…

Q: For which value(s) of a and b is y = abx concave up? b>1, a<0 00 0<b<1,a<0 b>1,a>0

A: We have find correct option

Q: Let FG)=LHH) where Find Fa)

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Q: Let flis) =4x %3D a.) find f(x+h b) find fx th)-fs) C. find flxih-f d) find f'Gx)

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Q: dx =?

A: Given: ∫x2-1xdx

Q: 43. y=x

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Q: Assume z = x+iy = re® , i = V-1

A: Given that: z=x+iy=reiθ

Q: Prove the following arguments: E.g. &E, not simplification. 1.)   ∀x(Sx v Dx) ~Sa ∴∃xDx

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

Q: Compute the two Parbials Of each af the following functions fcaxy)=¢ + 3xy %3D b Z=J x Sin cocy) %3D…

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Q: az If z? = y sin(xy), find ду at the point (-1, ", 1) a) - 0.5 b) +1 c) - 2 d) -- 1 f) 1 e) 0 g)…

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Q: Suppose that (ax + b) cos x dx = 12. Then the value of a equals: A) 6. B) -6. C) 6n. D) -6T. E) None…

A: Given: - The integral is, ∫0π(ax+b)cosxdx=12 To find: - The value of a.

Q: fonl gile) O If go)= S cnte dt , lnx

A: To solve the derivative of the above integral  we use Leibniz integral rule.