f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

Q: sin z In(sec z) dr

A: Answer and explanation is given below.. For 17 and 18 please repost the questions

Q: 25) Use Dr. Dai's Differential Table to find [tan - 1(x) ]' =, 25) A) 1/ (1+ x2) B) – tan-2(x) sec2x…

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Q: sec z 47. tan z tan z

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Q: 2 Use the trapezoidal rule with n = 5 to approximate sin(x) -dx. 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 ,5…

A: Trapezoidal rule

Q: * (D'+1)y(x) = tan(x) 1-sin(x) 1+sin(x) 1+cos(x) - y,(x) = sin(x)In m(x)s03 = (x) 2- -- y,(x) =…

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Q: Find the maximum and minimum valucs of f(x) = sin x + cos x on (0, 2n].

A: Given function:                      f(x) = sin x + cos x,   x∈[0, 2π] Use the second derivative…

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A: We will use substitution method to find the integral of given expression.

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A: Given that three trigonometry equation  To find fundamental solution of the question

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A: You need to use reduction formula to integrate the function, such that: You need to use integration…

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Q: @Hiw/ prove that cosiz=coshz @ Cosh'z -sinh'z=1 @1-Tanhz Sechz D cos hiz-l = cschz COS 3 =- Sinh z…

A: (2) we have to prove that,                                                      cosiz=coshz we know…

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Q: The prolate cycloid given by x = 2t − π sin t and y = 2 − π cos t crosses itself at the point (0,…

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Q: Q. Use first principle rule and proue that if y=s %3D secl tand = secx

A: Given: y=secx We know that for any given functiony=fx, first derivative is given by…

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Q: Issol za 53. f(x) = VxIn x on (0, co) %3D

A: Given: 53.   fx=xlnx,  0,∞

Q: + Bsin z Differentiate @ wi th xespect to x - - S"d (use dy A sinz + B cose

A: Given that: y=Acosx+Bsinx

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Q: hich the extrema occur. g(x)=x^2+cos⁡(x^2 ) on [-√π,√π]

A: The function given is gx=x2+cosx2 on the interval [-√π,√π]. To find the extrema of the function…

Q: 4 Test for homogeneity fx,y)- tanx- see'x - Osy

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Q: 3tan3x=tanx in the interval [0,2pi

A: Given,3 tan3x = tan x3 tan3x - tan x = 0tan x (3 tan2x -1)=0tan x =0            ;     3 tan2x-1 =0…

Q: 1. If z=ln (x-y) +tan (x+y) find zxx and zyy

A: Given: z=lnx-y+tanx+y  ……1

Q: tan °(ln z) sec® (In z) Evaluate dz.

A: Evaluate: ∫tan3lnxsec6lnxxdx

Q: 5. Verify whether the function f(z) Cauchy-Riemann equations or not. sinh 4x cos 4y + i cosh 4x sin…

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Q: tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

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Q: 2cos(2x)sin(2x)-sin(2x)=0 Interval [0,2pie)

A: Given that the trigonometric equation, Solve the equation for x,

Q: prove that cosh(x + y) = coshx coshy + sinhx sinhy %3D

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Q: TRC Prove that CoshZ =Goshx Cosytrisinh X Siny

A: The given problem is to prove the following complex hyperbolic trigonometric identity.

Q: Prove that 2 arcsin (x) = arccos (1-2x2) for XE (0,1 )

A: Concept: Trignometry inverse formula: One of the key ideas in mathematics is the inverse…

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Q: f(x) = = x, over the interval - < x < and has period 27 f(x) [cos cosz+cos3z + cos 5 +... f(x)…

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Q: (2x) Sinx 2. Prove that (1) Jy₂ (x)=√√(x) =_ (11) J-y₂(x) = √(3/1²) Cosx

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Q: = tanh (2x) Use the definition of the hyperbolic functions to prove the identity 1– cosh?(2x)

A: 1-1cosh22xUse the Hyperbolic identity:  1coshx=sechx=1-sech22xUse the Hyperbolic identity:…

Q: tanx If f (x) = A (В) (ⒸC) D - St 0 sec 3x 1+ e tanx In (secx) √ 1+tan ²x 1+ e tanx sec²x 1+elanx…

A: Finding the derivative of the integral

Q: Find where w= cos z - cos x cos 2y + sin x sin 2y and z x+2y. Me.

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Q: Evaluate: S 0 tan¬(0)d0 arctan(8)–0 Sarctan 0 + C 2 arctan(0) 0 zarctan 0 + C 2 arctan 0- 0…

A: Please refer the attached image for complete solution.

Q: Proove: Yn- n-1 x

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Q: f sin 3x cos 5x dx ¹29 sin 3x cos 5x + cos 3xsin 5x + C 16 sin 5xcos 5x + C O. 16 sin 3x cos 3x + O…

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Q: sech x+csch x Q3: prove that e2x %3D csch x-sech x

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Q: Of of Let f(x, y) = x°y² tan y Then x +y. equals

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Q: O IT 3 tan'z sec z dx

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Q: Q. Use first principle rule and proue that secl teind y = secxtan x

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Q: f(x) = = x, over the interval - 1)=-4 [002-2008 22 +cos 3.- cos 42+...] f(x) 2 [sin zsin 2 J II sin…

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Q: How do I verify secv-tanv=1/secv+tanv

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Q: 2) tan-l 1 Vz 4) sin-! 6) tan-1V3 8) tan-l 0 V3 10) sin-! V3 12) tan- 2. 2. 3.

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Q: 2x² + x + 3 x³ + x dx In[x] + In (x² + 1) + tan^³(x) + C Option 1 3 In]x] +In (x² + 1) + tan¹(x) + C…

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Q: sin21/3x cos3 2/

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