). Show that V - u -ly- tan' u < V - u 1- if 0

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Q: The slope of the tangent to the graph of g(x)=(6x +1)° at the point (0, 1) %3D is a) mon = 48 b) man…

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Q: (4)using the relation F= Vn show that J1(x) cos x %3D

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Q: 7) Use Theorem 7.1.1 (Table) to find L{f (t)} for the following: F()=cos(V2 t)+ sin(3:) n(3t) b. =…

A: Given ft=cos2t+sin3t

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Q: ON REDMI Y3 AL CAMERA - veifhy coucly's is Theorem for the function C) 3 Cosh(z+2 where C is the…

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Q: tan z, + tanz, = T-(tan z;) +(tan 72) tan(z, +2) ) Prove that: cos(z + w) = cosz cosw + sinz sin w

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Q: 1. Prove that the composite trapezoidal rule with h = 2-i, i E N, is exact for ſ cos? (Tx) dr

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A: Given that  px=8⋅cosx+1ex+1

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

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Q: Let C be the shortest path that connects z to mi and /= . (sinhz + 1)dz. Then |=-1-cosh t+ n(1-1)…

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Q: Prove that for all x € [1, 00), – sinh (- |cosh¯'(x)|) = Vx² – 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: Find the divergence of U = r cos 0 a, – sin 0 a, + 2r² sin 0 ap. r 2 sin 0 3 sin 0 - r2 None of the…

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Q: dz and du dz Find when u = In 2, v = 1, if z = 10 tan'x, and x= e" + In v. -

A: Here we the chain rule to get the answer .

Q: d - [sin(t) dt = 0, Where k is cons tan t dx Select one: True False x

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

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Q: Suppose that z is a function of z and y and that ze y cos z. Find and

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Q: Find the divergence of U=r cos(0)a-sin(0)a+2r²sin (0) a r 2cos (0) 3 cos (0) - r 3 cos (0) - 2cos…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Ex ercisei- (U show that x and fy exist med for all Cain Jeree. 't Cont at Co,o)

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Q: 2- Verify the following identities : [Sinh( u+ v)+ Sinh(u-vl a) Sinhu.Coshv = Coshu.Cosky =-…

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Q: а. х %3 (3, —4,0, у b. х %3D (2, 1, —3, 4y c. x = (sen k, cos k, 24y para un entero positivo fijok

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Q: (b) Show that U (x, y) = eu cos v, V(x, y) = eusin v are conjugate harmonic of each other if f = u +…

A: It is given that,  f = u+iv  is analytic. We have to show that,  U(x, y) = eu cos v  and  V(x, y) =…

Q: The f xcos x² 1-sin x2 dx is

A: Given :

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Q: dt, evaluate F(0) and F'(0). Given F(x) = Ju- 5. %3D J1+sin(2x) 1+ et-1

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Q: 1. Prove: a. S csch x = In|+ c b. S sech x = 2 Arctan(e*) + c

A: *As per the guidelines, only the first question is supposed to be solved. Please repost remaining…

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

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Q: Find ſ z2 sin z dz

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Q: - Using Euler's equation, show that- : z fain (K 0)} - z sin Ø z2 – 2zCos Ø +1

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Q: Prove that arctan x + arctan y = arctan(x + y) / (1 − xy),  xy ≠ 1.                   Use the…

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Q: A. Ifw= sin(x+bt)+cos(2x+ 2bt) . Prove that ôx? B. If f = x*y* + 2y sinx + x² lny then show that fxy…

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Q: (a) Prove that dv 1 2 u? + v2 arctan u- + C. 2 u 2, /2/2 ru (b) Prove that I dv du 2 - u? + v2 18 by…

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Q: on [ 0, 2î] ,determine all velafive the Finction. .If f(x) = sin x t cos X extrema for

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Q: -1 If cos x+cos y+cos z= T, prove that x +y +z +2xyz = 1

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Q: If y= tan x, prove that y 2(y² +1)(3y² +1).

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Q: Prove that d/dz sin(z) = cos(z) using Cauchy-Riemann equations

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Q: Prove that: Z,Z2 =r,r2[cos(0, + 02) + i sin(0, + 02)] 1.

A: NOTE- As we are allowed to answer one question in one session so, i have answered first one for you.…

Q: Let z=In(x²+y²) where x=ue"sin t and y = ue"cos t. If u=- 2 and 1=0 then is equal to %3D ....

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Q: Integrate the trig identity 2 cos j x cos kx = cos(j + k )x + cos(j -k )x to show that cos j x is…

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Q: please solve this question

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