Prove that the arc y = log secx from les (2+ 3

Q: Graph the function defined as follows over a two-period interval. y = 2 cos x

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Q: The Newton Raphson method is also called as O a. Secant b. Tangent method

A: Newton-Raphson Method: The Newton-Raphson method  is a way to find a good approximation for the root…

Q: | Example 8.12. Use the Trapezoidal rule to estimate the integral exª dx taking the number 10…

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Q: Find the limit of sin Ø/Ø as approaches 0°. * 00 1 -1 ООО

A: Using formula.

Q: 2. Evaluate the integral / sin'at dt

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Q: find the length of the curve y = arcsin e^(-x) from x = 0 to x = ln 5/4

A: Given curve, f(x)=arcsin e-x from x=0 to x=ln54

Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

Q: Find where ln((1+z)/(1-z)) is not analytic.

A: To find: The region where the function ln(1+z)(1-z)), where z∈ℂ is not Analytic.

Q: From the figure formed in integrating -dx, what is the term or value that is adjacent to the angle .…

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Q: The approximation of xln(x + 3) dx using two points Gaussian quadrature formula is:

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Q: The slope of the tangent line to the curve r=cos20 at 0= 1/4is none of these O-V3 0 1 O (-1)/V3

A: As we know that; The slope of the tangent line to the polar curve at the given point is equal to the…

Q: If y- sinhx then prove that = dx

A: Fundamental inverse Trigonometric Identities: →cosh2y - sinh2y = 1 Basic derivative:…

Q: Suppose X1, ..., Xn are iid with PDF f (x | 0) = 40ªx-5. x > 0, where 0 > 0. Find the method of…

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Q: Use trapezoidal with 3 level Romberg ( k=3) to evaluate 1 Пх - Пх* cos dx 4

A: The complete solutions are given below

Q: dy log x If xY = ex-Y, prove that %3D dx (1+ logx)?

A: Introduction :

Q: Hello! Can you help me with this calculus problem? I think I got something very wrong.

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Q: Determine the equation of a sine function with a minimum at and a maximum 57 at

A: Given minimum value at π3,-10 maximum value at 5π6,-2

Q: Compute for a real root of 2 cos T – sin T = accurate to rignificant figures using Fixed-Point…

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: F(t) = arcsin(In(t)) · arctan(3t²) – arccos(/2).

A: Given data:   The given expression of the the function is:…

Q: QUESTION 3 a) Evaluate the integral tanh (2x)sech (2x)dx.

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Q: If X; derive the moment-generating function (mgf) of X?. Ν (μ, σ) :

A: Given X~ N(mu, sigma^2) We want to find the mgf of X^2

Q: zyć dziedzinę naturalną funkcji f (x) = log (arc + arc cos log, (r- 1) + 2 are sin %3D r+4

A: Given :        fx= logarcsinx-4x+4+arccoslog 12x-1+2

Q: Use Gaussian Quadrature of order 5 to approximate 08 6 2 x-1 To how many decimal places is this…

A: Given that,    f(x)=∫286x-1dx                                  1 Using the Numerical Integral by…

Q: use Gamma Function to evalute the Rollowinq e dy

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Q: tan st e dt 2

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Show that coshr+ sinh a = e and cosh r- sinhr = e. Hence, deduce UTMOU cosh r- sinh z = 1.

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Q: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C

Q: Find the arc length: f(x) = (x³ + 5)ž – log x? from x = -1 to x = 3

A: Given:          f(x)=43x3+552-logx2       from x=-1 to x=3   Arc length =∫ab1+f'(x)2dx    here a=-1…

Q: I Braluate th FOllowing integralis 3+cos (logqx) dx x sin (loga x )

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Q: Quiz, Qi Prove that the arc lenfth of Curve to y = log secx from N =0

A: Given : The curve y = log sec x.   To prove that the arc length of the given curve is

Q: Determine the length of the arc y=ln(cos x) for 0≤x≤π3.

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Q: If f(x)-logCos4x + sinx.Then find 9 (x) JP at x= sec 2c dx 6.

A: Given function is: f(x)=logsec2x|cos4x|+|sinx| To find the value of 9df(x)dx at x=-π6

Q: Hw) Prove That:- 0 sinhz = log (z+lz*+) e coshz= Loy (2/23) ® Tanh'z = +2 1-2 Examml

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: let h (z) =(arcsin(5z)+ln(4-z))^27. find h'(z)

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Q: Let the domain of the function f(x) = log4 (log, (log3(18x – x² – 77))) be (a, b). Then the value of…

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Q: Find the arc length of the graph of the function over the indicated interval. x -vrv - 3), 1sys 9 X…

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Q: (d) Apply the fixed point iteration to - sin z +x = 1 four times, with xo = . Use an accuracy of 6…

A: The given problem is to find the approximate root of given equation using fixed point iteration…

Q: Use the definition of the Gini Index to show G = 2(x-L(x))dx where L(x) is the Lorenz curve. Show…

A: <math…

Q: |1- x 2 arctan + arcsin(2x – 1) = Hint using f Odx = C

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Q: Compute: d/dx(arctan(2x))

A: Given

Q: B ) if y= sinh¬1x then prove that =

A: Given y = sinh-1(x)sinh(y) = x On differentiating both sides , we get sinh(y)' = (x)'(cosh(y))dydx…

Q: Show that ∫∞−∞ sin x dx diverges.

A: To Show: ∫-∞∞sinxdx diverges.

Q: Compute dx in two ways and verify that the answers agree.

A: Assume the given integral be I. I can be integrated via trigonometric substitution by substituting…

Q: 2 = sin5t constitute a fundamenta L

A: Y1=cos5t and y2=sin5t  do not a fundamental set of solutions of differential equations y"+16y=0

Q: 5. Explain in words what the output of sinh (y) geometrically represents. ule

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Q: Solve the definite integral e(arcsin(x)) dx. /1 – x²

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Q: arc sin z = -i log(iz + V1- 22).

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.