Classify the Stries as nbsolurehy linvergen ti Condibinally lonvergent, divergent 18 K Sin

Q: If w = cos(xyz), compute for 82 w дудz

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Q: If u = x² cosy+ ye", where x = s+2t and y = st, prove that ди ди 2- (s – 21) (x siny- xye – e"). -…

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Q: Find the Leplace bransform. of Hhe fure tion ESinut octca to biven that

A: Laplace transform of periodic function: The Laplace transform of a periodic function f(t) of period…

Q: Find Laplace 2 2 [sin(34) + 65inh czt) ]

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Q: Find the areas of the regions Inside one leaf of the four-leaved rose r = cos 2θ

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Q: Discuss the Singulazities and Poles of fiz) = zéSinz (z-2) (zこいこょうと+ら)(2t (こか) +4

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Q: To compute sin (3t) cos" (3t) dt, first you need to I Select) * then subsitute u = [ Select ) * and…

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Q: Find the maclauin's sesies for y= cos(%)

A: y=fx=cosx2 Differentiating with respect to x, we get f'x=-12sinx2 Again differentiating with respect…

Q: Compute the Jacobian of : O(r, 0) = (9r cos 0, 4r sin 0)

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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: -W : By the same way, prove that g Z sinWo sinw.k Z -27 cus Wo +1

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

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Q: as Let ĝ +sinh (z?) - ji = 27 where w=f (x,y,2)- %3D Find 2 nd JW and au

A: In the given question we have to find the partial derivatives of with respect to x ,y and z. here we…

Q: Express 1+ cos a + i sin a in the modulus amplitude form.

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Q: Find -> arc JK -> arc NJ -> arc JL

A: Please see the explanation below.

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

A: Convergence of the sequence

Q: baphress -4i in esponenial form reio the Qunge OLOC2TI in

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Q: Find the sccond derivate Of the finctron Y =2*. Inx

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Q: If A = ixyz +jxy+ kyz Find div(A) and curl(A) %3D

A: Use the formula for the divergence and curl of a  vector field.

Q: Find the exact lanth of the 4=1n (sec(x)), Odyct3

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Q: Find the edlution of the following equstions: (osx<r) a) cosx- casx =0 . b) tan2x = 3 tan X Sin8X .…

A: We have to solve the following equations.

Q: Sinex dx is a) Conv. to o 6) diverge b) cont. to 프 auou (P

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Q: Prove that ∫ cot u du = ln∣sin u∣ + C.

A: Prove that ∫ cot u du = ln∣sin u∣ + C

Q: DIfferentiate the following fuh ction with respect to K In X %3D Sin a

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Q: which of the foliowing is a vaiid equ be us ed to Soiue for 2 ak di altan 40=x 60 60 bl Sin 4O= 40…

A: Given : A right triangle

Q: Compute the Jacobian for the substitutions x = ρsinφcosϴ,  y = ρsinφsinϴ,  z = ρcosϴ.

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Q: 2. %3D be Centered in a batt co,ogo) andradies I 2. frove thet S-273R

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Q: (b) If u =x cosy+ ye», where x=s+2 and y= st, prove that 2- ds du - (s - 21) (* siny-xye -e").

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Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

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Q: The integral of the right hand member of the first order LDE A B C с D -2sin³0 3 COS 2 2sin³0 3 sin…

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Q: find the root of the fnmetion ーX FCx)= ē^ _ x which lies betwen (o %3D

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Q: If u =x² cos y +ye», where x =s+2t and y= st, prove that ди 2- Əs ди 3 (s— 21) (х' siny — хуе" —…

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Q: Compute the length of the cardioid r = 9 – 9 cos(0).

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Q: Prove the following hyperbolic trig identity. cosh(x + y) = cosh(x) cosh(y) + sinh(x) sinh(y).

A: cosh(x+y)=cosh(x)cosh(y)+sinh(x)sinh(y)

Q: L[t cos 2t

A: Please find the detailed solution in below images

Q: Evaluate the secondary 5th root of z = 50 (cos150° + j sin150°) and simplify to rectangular form O…

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Q: Show that J, (z cos0)d0 = - R/2 os e)de = 1-cos z %3D 21

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Q: Find the Laplaće Trans forh 3) f()=1 cosh(at)

A: Given: ft=t coshat   As we know from the property of the Laplace transform. Ltnft=-1ndndsnLft   And…

Q: Let fln) = e cosx, sx %3D Express your answers in exact form.

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Q: Given that L{cos bt}(s) = S use the translation property to compute Leat cos bt}. s² + b²,

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Q: show that fE Riemann [o,!] and Find f de

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Q: Verify that cos kx a solulion of Also, stafe what kind of DE is the DE above

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Q: a. Show that W[5, sin2 t, cos(2t)] = 0 for all t by directly evaluating the Wrosnkian.

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Q: Verify the rule by differentiating ∫ du/(a2 + u2) = (1/a) arctan (u/a) + C . Let a &gt; 0.

A: Consider the given integral identity. ∫dua2+u2=1aarctanua+C Differentiate the LHS of the equation…

Q: #3, Find tん Xナメy form in Siri (끌)

A: We have given siniπ2 We have to write this in x+iy form As we know sinhz=-isiniz Then,…

Q: Let flx)= a cose + 3 Sinse with (o,f to)), (,2) and (T, 2 ). Use Muller's method to find a quachatic…

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Q: Find all Solotioms Cin radins) to the eguotion 2 Sin X+V3= o

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Q: Let = (sin x cos y, cos I sin y, In z).- Compute div i %3D

A: Given,          v→ =  sinxcosy , cosxsiny , lnz

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.