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Q: 3. (D3-2D2+D-2) y=0 4. (4D3+28D²+61D+37) y=0

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Q: at 5% significance level Họ HZ HO; Ho iH < HO If the test statistic calculated to test the…

A: NOTE: As per the guidelines, we are supposed to solve one question only. Kindly repost other as…

Q: æ²y' + (y)² – 2xy = 0 where x = 2, y = 5, y = 2

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Q: Evaluate the z transform Evaluate the z transform of x(n) = a^(-n) u(n). of x(n) = c^n u(n).

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Q: Suestion s A then what the equiralent 3. of Man

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Q: Bessel's Function 1. Find Jg cx ) (x)

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Q: Q2: EVALUATE * SJs(x) dx a.

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Q: X AnB=X A+X B (where x is characteristic function) صواب İhi

A: Given a statement

Q: Find the Wronskian of the functions f(t) = 6e' sin(t) and (t) = e' cos(t). NOTE: Your answer must be…

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Q: _-_-7/57 = 1778 ++ (5)) pust

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Q: Let F=c [o,i] |||= |} g(x) = xsh(x)=x², Is H. strictly conuex? Explan y our answer.

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Q: Use the Divergence Theorem to compute the net outward flux of the vector field F across the boundary…

A: Given The given vector field is F=3z+x,7x-9y,y+5z Region between the spheres of radius 1 and 4.

Q: 1 F(@) = %3D 2 - w2+j3w

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Q: 2- State Picard's theorem and hence using its iteration scheme, find Yn (x) for n= 0, 1, 2 for y¹=…

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Q: AnB=XA+XB (where x is characteristic function) صواب İhi

A: We have to check whether the statement, "χA∩B=χA+χB" is true or false. Definition of characteristic…

Q: Continuous everywhere

A: The following are theorems, which you should have seen proved, and should perhaps prove yourself:…

Q: Home work find * if w =4x-5 and x =t+4t

A: Given, W   =  4x2-5 and     x= t3+4t

Q: u'= 1+ sın (u)1 Cos (u) U Is a functionofr r)

A: We will find out the required solution.

Q: Problem 1. Let (X, dx), (Y, dy) be metric spaces, and equip R with its usual absolute value-metric.…

A: Given: Let us consider the given,X,dX,Y,dY a) Let us determine the sequence of functions fn:ℝ→ℝ b)…

Q: Find the Foumer series of the Funchin 0人 IA 4-大 TくKIT

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Q: Determine p' (x) when p(x): 0.08e %3D

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Q: Exer. 27-32: (a) Use f' to prove that f has an inverse function. (b) Find the slope of the tangent…

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Q: Given that the total flux across the surface, S of the tetrahedron bounded by the planes x=0, y=0.…

A: To draw graphs in 3d we need to find intersections with co ordinate axes and also with co ordinate…

Q: A solution of Bessel's equation, x²y" + xy' + (x² – n²)y = 0, can be found using the guess y(x) =…

A: We are given Bessel's equation, x2y''+xy'+(x2-n2)y=0. We are given that a solution to the above…

Q: Express J5(x) in terms of Jo(x) and J₁(x). Answer: J₁(x) = = ( 384 72²-1) J, (x) + (1¹2_192) √ ₁ (x)…

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Q: Find the inverse z Transform of the following signal. 1 X(z) = , Iz| > 1 (1-글2-1) (1-2-1)

A: Consider the provided question, We have to find the inverse z transform of the given signal,

Q: Let C be the curve connecting (0,0,0) to (1,2,1) to (-2,2,4) to (0,0,0) :/ (tan (x³)+ 2yz) dx + + x…

A: According to Stoke's theorem,  ∫CPdx+Qdy+Rdz=∬SRy-Qzdydz+Pz-Rxdzdx+Qx-Pydxdy Given integral is…

Q: a) Given that f(t) = {(tt) ((t-1)² e3t 0 ≤t≤1 t>1 i) Find Laplace of f(t) using the definition of…

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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.