Use Ito isometry to caculate E[X], where X = B,dB,.

Q: J X √9 - x² dx

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Q: Find: L [ t sin h 6t ]

A:

Q: True or Fal se ? Continuous on Cagb], then %3D

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Q: DO NOT include spaces in between characters. Determine the domain of y = sin (x – 1).

A: To find the domain of y=sin-1x-1

Q: 5. gl1) = Cot3x ら。 -- HQ) = I+ Sin x 1- Sin X

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Q: tan x 1. Differentiate the function: Y = ea* In x

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Q: The following are functions that can be best integrated using Power Rule, EXCEPT 2 a. S Vx² dx. b.…

A: Part (a): Given,

Q: 2. Determine where y=sin is continuous.

A: Please see the below picture for detailed solution.

Q: Q: Show that the function f(x)=- x sin ,X =0 is continuous at x = 0.

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Q: Prove that dl = (Vu) x (Vv) - do.

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Q: ob regrot el algo Demonstrate Rolle's Theorem using f(x) = x sin x on the interval [0,]

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Q: Make an octave code to integrate ex with respect to dx from 0 to 1, by Simpson’s ⅓ rule. Divide the…

A: The objective is to make an octave code to integrate ex with respect to dx from 0 to 1 by the…

Q: one of the following pairs of functions are orthogonal on interval [-1, 1] Select one: x.cosx b. x,X…

A: Given the interval [-π,π] and the pair of function. a. x2,cosxb. x,x c. sinx,xd. NOTe. sinx,cosx We…

Q: ) Use implicit differentiation: + x²y +4y? = 6 %3D

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Q: Calculate the derivative d dx t14 + 5dt using Part 2 of the Fundamental Theorem of Calculus.

A:

Q: Let Xi = cos(27FT) ,r.v.F~U[0,fo). What is its mean function,autocorrelation function?

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Q: tanh" (cose 3x

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Q: Find the range of the function R → R Define by f(x)=(tan. 'x)* V1+x? 2 +

A: Range of bothe functions will be considered and then intersection of both we have to take.

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.