التاريخ اليوم موضوع الدرس A) Discuss the conrergence of facx) %3D on A = Co,0)

Q: 2. Prove: cot2x - csc²x = -1 %3D

A:

Q: Determine and of y = (5r - })(cos z + In z

A: Consider y=5x2+32sin x+ln x. Calculate: dydx=y'. Apply product rule of derivative:…

Q: What would you substitute the integrand with in order to evaluate cos(29x) cos(31x) dx? (Do not…

A: The detailed solution is as follows below:

Q: Prove that cosh-z = In (z + vz? - 1) %3D

A:

Q: Let the position vcctor bc R CE) = <3€,2 cos (3€), 2 sin (3€) Compute the curuature

A:

Q: If Z= cos20+isin 20 prove that = sec² 0 %3D (Z +1)

A: We have to prove L.H.S = R.H.S

Q: Use the definition. that sinz •prove Z = UJZ %3D

A: Using definition of derivatives.

Q: IF 2 = +i Sin I) UgE DE MOIVRES THEOREM TO fiND ALL CUBE Roors of 2.

A:

Q: 21. Prove that lsio rol ylanoti (i) Res (tan z, x/2) – – 1 1-cos z (ii) Res 12

A: The solution is given as

Q: Find the rank of A= = xS+ x + invertible. [exham S] O A MOITERUD 225 10-4 and explain why it indic 4…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find antideriuative Flx) of the an flx) = _8 sinx 13 + COSX functian such that FlO) = 1 %3D %3D

A:

Q: What is the wronskian of cotx, cot2x, cosec2x?

A: We will find out the required value.

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the…

A: The given complex number is: (- sqrt 3 - i)^6. Let us consider, r cos theta = -sqrt 3 r sin theta =…

Q: If Y=tanx prove that %3D2

A:

Q: . Use Taylor's neries, to prove that ein z tan (x+ h)3tan" % + (h sin z). sin 3z sin 2z + (h sin zj…

A:

Q: prove that. sinh ciz) = i sinz sinciz) zisinh z , cescia)= coshz

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Find all solutlons exactly on the Interval [0,2n). cos t = cost %3D

A: The given equation is cos2t=cost.  Solve the given equation as follows:…

Q: 2. (– 13 + 3i)31

A:

Q: A fence is to enclose a rectangular possible from with area of 400 square meters if P(x) is the…

A:

Q: At the point of discontinuity on (0, co), the Fourier Cosine integral corverges to: f(x+) – f(x¯)]…

A: We have to solve given problem:

Q: If tan-0 = 1- a Prove that sec® + tam Ocosece = (2- a) 3. %3D %3D

A:

Q: どタ -e -at u Ct) = (a +jwjñ+!

A: To prove that tne-atut↔n!a+jwn+1 It is known that  ut=1 , t&gt;0=0, t&lt;0 Therefore,…

Q: verify the set {∅n = cos(nx) (∞ n=0) is orthogonal on the interval [−pi, pi]

A:

Q: 2.Prove that L (sinwt) %3D s2+w?

A:

Q: Exercise.2 Prove that cos-1 z =- In(z ± Vz? – 1)

A: The given problem is to prove the given inverse complex trigonometric identity. cos-1(z)=1/j…

Q: Find the Valucs of all six trigometfrie Funedion 6) cot x =-, Cos xLO 3, COS

A: cotx=-23, cosx&lt;0 Since both cotx &amp; cosx are negative, therefore x lies in second quadrant.…

Q: Prove that $lax) =se³ is Cont. on ts don

A: Given: fx = x3 and δ≤1 To prove: f is continuous on its domain.

Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

Q: 2- Prove that: sin(z + w) = sin z cos w + cos z sin w %3D

A: sin(z+w) = sinz cosw + cosz sinw R.H.S  By multiplying 2 from numerator and denominator 1/2 (2sinz…

Q: Prove that • I %3D

A:

Q: @H-w/ prove that cosiz=coshz

A: We have to prove by using cosiz and coshz formulae.

Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y3…

A:

Q: dual of c, is isometric to l'.

A:

Q: Let f lany) prove that' flany) di f feren tiable I5 not point lo,0) .

A: Let the function be fx,y=xy Note:  [ We can say that f is differentiable at (a,b) if f is…

Q: Show that fi (x) = cos x , f2(x) = cos 2x are orthogonal on [-7,71]. %3D

A: This is a application of integration problem

Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y4…

A:

Q: Prove that osIl" + sini = tan s 56° cas 11-sinll %3D

A: -To show:cos11o+sin11ocos11o-sin11o=tan56oBasic formula needed:-tan(A+B)=tanA+tanB1-tanA.tanB…

Q: secx + 1 51. secx - 1 (cscx + cotx)? %3D 52 56 verify that the equat

A:

Q: /show that fo-1x is-Contindals everywhere.

A:

Q: About proportionsIf a/b = c/d and r/s = m/n , form a single proportion involving the eight…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

A: Given that, f1(x)= x, f2(x) =cos2x and interval is [0, 90o] Wehave to find that the functions are…

Q: Show that {zn}nEN is Cauchy, where z, = sint dt. 1+t

A: Sol

Q: Compute (2sin z -) ) da Show work but don't simplify.

A:

Q: (Compute Sc (-3y+ony Sin(3))dxt (5x²-(ye)du Where C is a Simple Clased cUne in the plane oriented…

A:

Q: Prove that: tan-¹ z = In( 2 Note: tanz = And sin z = COS Z = ‚i+z. sin z COS Z eiz-e-iz 2i eiz te-iz…

A:

Q: Explain the fundamental theorem of albenra?

A: To explain: Fundamental theorem of Algebra

Q: What is thie generalized union and interdection of %3D where 1-10,1)

A: As given,  λ is the index set for A.  Hence, there are two sets possible,  Aλ=0  =  [ -(1/0) ,  0]…

Q: 2. Prove that cos30 = (4cos'e - 3cos0) and sin30 = (3sine – 4sin e) using De Moivre's Theorem. %3D…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.