1 1 0 2 0 0 P = = | 0 1 -1 A = - 1 3 1, A' = | 0 1 | 1 0 0 0 2 0 3

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: Complete

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Q: #51

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Q: sin 2x + 2 5я 3 + n, 3 5я + 2 n, + 2 яп 3 3 5я + KN, 6 2 я ○쓸+2.0, + 2 n 6 3

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Q: Identify the differential operators Ln,n = , 1, 2, 3, 4, which makes it convenient to write the set…

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Q: 2 tanh(x) 2) tanh(2x) (H.W) 1+ tanh (x) 2

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Q: [sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x); [cos(2x) – 1]+ +C + 12 8 4 sin(3x)cos(3x)…

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Q: Leb Fur =ue Show thab f6/0 )c

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Q: Prove: sinh(x – y) = sinh(x) cosh(y) – cosh(x) sinh(y)

A: The basic relations we need to know to solve this problem are, sinh(x) = ex- e-x2cosh(x) = ex+ e-x2

Q: dp : kp(P – p), where k and P are constants dt

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Q: sin(4x) cos(2x) dx = cos (2x) cos (6x)' sin (2x) cos (2x) сов (10х) 4. (2x) sin (10x)+ c sin +c 10…

A: Use formula 2sinAcosB=sin(A+B)+sin(A-B)

Q: Obtain the Differential Equation of the family of plane curves. 1. Straight lines through the fixed…

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Q: dy dy + xy = 0 dx

A: The detailed solution is given below Thank you

Q: Find general solutions of the differential equations . Primes denote derivatives with respect to x…

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Q: -1 4.. у %3D 2а3 sinh "(6ӕ — 5) 2х-3 coth (x + 2) -1 5. у - 3 6x

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Q: Find general solutions of the differential equations . Primes denote derivatives with respect to x…

A: Homogeneous Differential equation

Q: 2 tanx cotx – tanx=0

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Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: Given that f(x, y) = (y + 1) approximate the change in f(x, y) from the point (4, 1) to point (4.03.…

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Q: O tan-()+ -dx =| Business Mathematics And Statistics x4 +1 Questions 1 O tan-(+e -) + c V2x x2 +1 O…

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Q: sc 2x - cot 2x = 0 1 sec²x

A: We can find the answer as below.

Q: 2) y - • sin 0 +2 3元 2元 5元 3元 元 元2

A: The given function,       y=12.sin θ+2

Q: tanx -√ S sec²x 1+ et tanx In (secx) √✓ 1+tan²x 1+ elanx sec ³x 1+etanx If f(x) = A B (с 1+1² 1+e'…

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Q: Hn+1(x)= 2x Hn (x) – 2n H-- 1 (x) H,(x)= 2n Hn-1(x).

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Q: Differential s of the form

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Q: An equation that contains derivatives of one or more functions of more than one independent variable…

A: Here is the solution of the given problem.

Q: x*sin (2x) dx a. ** cos(2x) – x³ sin(2x) –r² co. 3 x² cos(2x) +x sin(2x) +- cos(2x) + C 4 1 cos(2x)…

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Q: Find the differential equation (Eliminating Arbitrary Constant)(Family of Curves): Strophoids :…

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Q: S(sec z tan z – 3z²)dz -secz – z³ +c sec z + x³ + c sec - * +с tan z + 1³ + c O - sec z + z° +c

A: Use integration rules

Q: Given below is a complete solution of differential equations. Identify all LINES in the solution…

A: In the given solution of differential equation we have to find out the errors :-

Q: Find the differential equation characterizing the family of curves described a. Circles Passing…

A: Please see the below picture for detailed solution.

Q: sinh (u + v)= sinh u. cosh v+ cosh u. sinh v и.

A: Consider the Identities for hyperbolic functions and expand the given expression.…

Q: 2. tanh x (12) tanh(2x) = %3D 1+tanh x

A: Answer

Q: .3 1+ at dt

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Q: tan" -1 I# Z-X FEMD fyx At (-,1).

A: The solution for the above question is as shown below.

Q: e*+ cos x (d) h(x) = tan x (e) y = Vx sec x e* =dx.secX.さャx.d secxrが4リxのsecX.àビ…

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Q: ах, — bx, — c+x", n = 1,2,.., (1. 1,b,c>0 and m21.. difference equations (as well as differential…

A: Please see the below picture for detailed solution.

Q: irst and second derrivative of: 4In(Arctan x)=1-y

A: The derivative of a function f(x) is defined as limh→0f(x+h)-f(x)h. For some standard function the…

Q: 1)f(x)=sin³ 2x 2)f(x) = 4coshr 3)f(x) )= sinx cos*x 4)f(x) = e*cosx 5)f(x) = 8 Inx %3D

A: image is attached

Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

A:

Q: *n/3 27. tan'x sec*x dx 28. tan (2x) sec (2x) dx /3 29. tan'x sec x dx 30. tan'x sec°x dx 31. tan'x…

A: solve integration

Q: azu 4- = (1 – x)cos(t), 0 0, %3D - | at2 Əx2

A: In this boundary value problem we use the separation variable  we assume the form,…

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: Obtain the differential equation of the family of plane curves described and sketch several…

A: Please refer to the image below

Q: 3 8. y = sec Зx) 9sec (2 – 3x)tan´(2 – 3x) B. - 9sec (2 - 3x) tan tan (2 3 С. 9 sec' (2 — 3х) tan…

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Q: Consider the differential equation = 5 - y. In a coordinate system with window [-3,11] by [-4,10],…

A: Consider the equation

Q: The differential equation provided by the functions u(x) and v(x) defined as xER u(х)+v(х)-2u(х)…

A: