If F G) and g(x) are conbinuous on [anb] andit =Sprove thab. SF= 58 prove thab Icefanb] Such that fle) = gle)-

Q: Lut a,bicid by integers such that ad-bc-1. For integes u and y, define Vi u's aut bv and ✓-cut du…

A: Let a,b,c and d be integers such as ad−bc=1. Let u and v be integers and define u'=au+bv and…

Q: Construct a formal proof of validity

A: We prove the given argument by using rules of inference.

Q: (6. let aiseendn (coreen + cotu) == f(n) + C Of (eseen cot use su asien-cotu) ² f(n) = ? = (cosecn+…

A:

Q: Q2] Find the lower bound of Iz - 3|if |z - il < 1

A:

Q: f(x) = sin nx OKKI, > n such that If exist KEIN If₁a) - foxil < 10 Ans. K =11 / does there K and XE…

A: The given function is fnx=sin nxn, 0≤x≤1 To find: the value of k.

Q: (Q-3) function y=fG. This stretch bu a factor of 3 units. 1) Point (2-3) is a point 15 A gpint…

A: The given function is: y =  f(x) (2, -3) is a point on the given graph.

Q: Q1) Find the canonical form of these question : a) f(x.y,z) =F=x' y' z+x y° z" +x y z b) f(x.y.z)…

A: We are given: f(x,y,z)=F=x'y''z+xy''z''+xyz We are given the standard Form. F=x'y''z+xy''z''+xyz…

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

A:

Q: 5. Wohat is the time complysily of the flloing Tecurence latian Te) - 8T4) + QL) , { f n² >rl M (거 à…

A: Given,  Tn=8Tn/2+⊝1, if n2&gt;MM, if n2≤M where M is independent of n.

Q: - Show that charactaristic function associatel with two distinct chavacteristic values always…

A: We have to show that the eigenfuctions/characteristic functions associated with two distinct…

Q: Let fca) satis fies Cauchy Riemann Eguation , then (f(z)" is also satis fies cauchy Riemann Eguation…

A:

Q: Let Xn ☆ Bil^,p] where n& P ae wnknown. Find method of moments estimators for n&

A:

Q: all Cany )eR?. Ex ercise:- ilay) #(o,0) ,(mig)=(0,0) show that f x nd fy exist. for TSn't Cond at…

A:

Q: Given that w = f (u, v) And u = xz. , V = dw = X az aw aw Prove that Z - ду

A:

Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

A:

Q: cos ax -dx = re¯ª,a>0. .2

A: With the help of Residue we can prove given result:

Q: у У1 Уз Уч У 4 | Уб 6 У 7 У 7 64 If y = cos ax, prove that У 2 5 = 0, where y, Ув 8 = dr ту. dx'…

A:

Q: let Po)- tar'c) + tant (L). show that Plx)=C,where cis a constant and then Aind C

A:

Q: (L[u],v ) = ( Au, v)) = (Au)"C v = u"A"C v, (u,L*[v]) = (u, A* v) = u"MA* v. (9.5) Comparing these…

A: Given: Lu,v=Au,v=AuTCv=uTATCv u,L*v=u,A*v=uTMA*v   To prove: A*=M-1ATC

Q: The first derivative of the function y = 4*.32x is: %3D a) 4*.6* In 36 b) 4*.32x In 4 + 4*6* In 6 c)…

A: given y=4x.32x

Q: IF layy.z) = I, evaluate S tby,z) dv, where E = {P,O, Q) : osGS IM , %3D

A:

Q: If F&) and g(x) ave combinuous on fanb] andit =5oprove thab b. b. Icefanb] Such that ffe)=gle).

A:

Q: FOo=X-1 de fined 2n E- lro] show that Fis Riemenn integruhk

A:

Q: Let x,(t)-v(t)+sin(r), x,-vt) then x,(t)= xN-cosit) Select ones True, False

A:

Q: 28- For What Values of a anel k is a X <-1 ー<くく -2 Cx) = ax-b 3 Continuons at every X ?

A:

Q: The domain of the function f(x)= cos 8) is [84, 108 ] Then k =.... k Answer

A:

Q: Suppose that fand gare continuous functions such that f(z)dz = 2and s(z)dz = 3, find (2f(2) +…

A:

Q: 子6)= cosz- Ga82-1., XE Co, 2T].

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Consider the fune tion fa)- In[ax- b an tb] where c= ? -6 bi 2ab ind f' ()

A:

Q: how that: (f)=X*(-f) x(t) is even, then b₁=0, an= To

A:

Q: let foo- X-1 when x+i- Féndavalde of fethat calil makefis continueus at xe

A: For a function f(x) to be continuous at x = a the condition is:

Q: Prove that Vtan a de – 7//2.

A:

Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: 2) al X,X2 =) y = Xi~ ? ,-,Xn ~lid exporen tíal ( 100 b) Xq, X2,--- Xn~ iid N(44i44)= ビ- ~? i=1 %3D…

A: Solution : a) Given : xi  ~ exp ( 44100 )   ; i = 1,2,3,...,n ∴ θ = 0.44     Y    = ∑1n Xi It is…

Q: let FCXye+ Siny) f+ (ex+ cos y for pai-) Shoul Hhat F is coserative Vutor Funtion 6) Find a funtion…

A: F is a conservative function iff its curl is 0 that is determined as. Here F is determined to be a…

Q: 22) Lee f be a contioouse function on the closed ineerval [-S,0], where f(-51=0 and rco)=5 which of…

A:

Q: Q25) ) Prave that tan'o = |- cos28 It Cos 2o Hene, fnd the escact value

A:

Q: Vee the definition of the downtie! Find filx) then find fil-2), f'(0), and fi(3) 12 - X 3 b.) f(x) =…

A:

Q: How can we prove to get dual from primal standard form? from this primal standard form Max.z = c'x…

A:

Q: X-Geometridp=2) Let a. P(X> 3) b. P(X>3|X ≤4)

A: GeometricWe have to find given the probability.

Q: a) Let Sex) = 6x and gt)= sint for Octe How do I find (Sog)(t) -) Let Sta): and g(t) - 7tan t śor…

A: Given that, (a). f(x) = 6x1-x2  and   g(t) = sint,                0&lt;t&lt;π2 (b). f(x) = 1x249+x2…