Green's theorem

Q: prove a Bolzano–Weierstrass theorem and explain on how you prove the theorem. Thank you

A: Solution:-

Q: Liebniz theorem

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Q: ntegral Sa F . 0) & (1, 1)

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Q: Fourier cosine transform of e^-2x + 4e^-3x

A: Solution: Definition The function Fcs is defined by Fcs=∫0∞fx·cossxdx is called Fourier cosine…

Q: invertible

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Q: Stokes's theorem is a special case of the theorem of Green.

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Q: differentiable and

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Q: Proof Prove Property 1 of Theorem 1.2.

A: Given :                  The limit,                 limx→c f(x) = L Formula used :…

Q: Nast fihmost h

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

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Q: How can De Moivre's theorem be described?

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Q: Calulate thi ntegrul 17 3-49

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Q: wise Show that the Characteristic function of X + Y is egual to the product of the characteristic…

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Q: an integrating factor for the

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Q: How can substitutions in single definite integrals be viewed as transformations of regions? What is…

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Q: Linearization approximation

A: Here, we consider the function f(x)=x^(1/3). We take x=8.5 and a=8 as, we know the cube root of 8,…

Q: Singular Value Decomposition

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Q: itial condition that the point (0, √2 + 1) is on the

A: We have to choose the correct option from the given options according to the given information

Q: 15 Using Part I of the Fundamental Theorem of Calculus, evaluate: da tdt =

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Q: Divergent Theorem

A: We have to find out all the values of 'b' where It is given that  where

Q: Partial Differentiation. If u = In(x² + y?) and z = sin-(=), evaluate the following: azu 1. ax azu…

A: Here is the solution of the given problem.

Q: Indeterminate forms & L'Hospital's rule

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Q: Area under a curve

A: Let us consider the equation of curve be y = f(x).Let us consider two data points x = a and x = b,…

Q: јariable X 3D (1, 2, 4, X), be described a

A: To find: The difference between binomial and geometric random variable.

Q: Fourier transform

A: This question is related to fourier transform, We will solve it using given information.

Q: directional deriva

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Q: Taylor’s Theorem and the Mean Value Theorem Explain how the Mean Value Theorem (Section 4.2, Theorem…

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Q: Cramer's Rule.

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Q: discrete or continuous.

A: Discrete VariableA discrete variable is a variable whose value is obtained by counting.Discrete data…

Q: The exponential map ex

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Q: 1/2 dx 1-х4

A: Let 1-x4 = t

Q: Use u-substitution

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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: integration for

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Q: ensor analys

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Q: a) Expand Sinx by Maclaurin's Theorem.

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Q: honic function

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Q: Fourier series fixis = x sinx ,xe (…,7)

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Find the linearization at x = a. f(x) = sin³ (x), a = %3D (Use symbolic notation and fractions where…

A: Given fx=sin3x, a=π4 To find linearization at x=a

Q: chain rule followed by product rule

A: Given: The function is h(t) = sin ( t5 ln (t) ).

Q: Proof of Bessel’s inequality

A: We need to prove Bessel’s inequality: 12a02+∑k=1∞ak2+bk2≤1π∫-ππf(x)2dx. For (a), For any n≥1, define…

Q: mobius function

A: Answar : - Let F and f be teo number the orceticfunctions related by the formula F(n) = ∑d/n…

Q: Fourier Transform

A: Fourier Transform is f(t)=F[ω]=[∫−∞∞f(t)e−jωtdt]

Q: The expression of Absorption's law is given by what?

A: The expression of Absorption's law is

Q: Transformation Rule: (x ,y )-_

A: Reflection along line x=-2 will have follwing change :   Y coordinate will be same as earlier. X…

Q: omponen potential

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Q: Divergence Theorem to prove the identity

A: It is given that E is a closed region in ℝ3 and the boundary of E is given by the surface S.…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.