be an integral domain of characteristic 2. Show that va,bED, (a+ b)4 = aª + bª. Let D

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A:

Q: 5. Find the Fourier integral of frowl x (•

A:

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A:

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A:

Q: prove by definition that the integral from a to b of xdx = b^2-a^2/2

A: To Prove:    ∫abxdx=b2-a22

Q: I, FIND HE NET AREA OF fos) - Zx and gx)= O FROM [-3,3]

A: Given : Functions f(x) = 2x and g(x) = 0   To find : Net area of f(x) and g(x) from [-3,3]?

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A: To Find: Area of the inner loop of r.

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A:

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A: Given: f:R1 → R2 is an isomorphism. To prove  g:F1 →F2 is an isomorphism.

Q: Evaluate the integral. | (In(3:2))° de +C %3D

A:

Q: Evaluate the integral.

A: I = ∫ t21 - t6. dtI = ∫t21 - (t3)2. dtI = 13 ∫ 3t21 - (t3)2.dt       _______ (1)

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A:

Q: F[x₁,...,n] is an integral domain.

A: Solution:-

Q: (2,4,2) √(122) Axlna +(By²2)] + (2 +9³) 2² what should A ond & be for the integral to be path…

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Q: 2 dt 4+ t²

A:

Q: 2. Prove or disprove that Z, xZ, is integral domain.

A:

Q: Evaluate the integral. e3t V2 + et dt =

A: We have to find the indefinite integral

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A:

Q: Find the area +6 C1 R -6 +6 C2: 4x2 + y² = 16 -6 using green's theorem.

A: We are given the above region of which we need to find the area and as per the instruction, we need…

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A: Evaluate: ∫ete2t+3et+2dt

Q: Prove that (Z(sqrt(2)), +, ×) is an integral domain.

A: We know that , ℤ2 = a + b2 / a , b∈ℤ . Clearly , ℤ2 forms a ring. We know that , a commutative ring…

Q: Suppose that g: [a, b] → R and h: [c, d] → [a, b]. Prove that if g and h are monotonic then go his…

A:

Q: Compute the suitable integral representation of the following function 0, 0.5, —2 2

A: The given, G1x=0,x<-20.5,-2<x<-11+x,-1<x<01-x,0<x<10.5,1<x<20,x>2

Q: From the Fourier expansion of f(x) = la- x) (x(1+x) -1<x<0 V. show that

A: Solution

Q: Evaluate the integral. 4 + u² du u3

A:

Q: 6. Find the integral Ssin’xdx.

A:

Q: a) Find the triple integral xdV.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: Evaluate the integral.

A:

Q: (a) Evaluate the integral хах V9 – x²

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Q: Suppose that f: [a, b] → R and g: [c, d] → [a, b] are both monotone. Prove tha (ƒ ○ g) is Riemann…

A:

Q: dt 4е-t — et

A:

Q: If E is Lebesgue measurable subset of [a, b), show that XE = m(E) %3D

A: If E is Lebesgue measurable subset of [a, b], show that ∫abχE=m(E)

Q: 5. Evaluate each integral. SHOW WORK!!! а. b. 1 (1-x) + sec2 x Vx(1 + 2v

A: As per the Bartleby answering guidelines only one question is allowed to answer per post. Hence…

Q: Evaluate the integral of ſ, x³ln xdx

A:

Q: Evaluate the integral. 4,3 - 32+ 4 른t) dt

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Q: calculate the integral.

A:

Q: 5. If F(x) = a. F'(1) b. F(2), by interpreting F(2) as an area √4t-t² dt, evaluate the following:

A: Using the Leibniz rule fir differentiation under the integral sign.

Q: R is an integral domain.

A: Note: Here we are solving problem (a) for problem (b) please submit the question again. Given: Let R…

Q: Can i get help step by step with this problem?

A: Given:

Q: Provide a homotopic squared parameterization of side one o_1= [-1,1] x [-1,1], other than this, and…

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Q: Show that the following line integral is path independent an (3, 2) S cosh(+ X (0,0) (8xdx+6ydy)

A:

Q: is Theorem 1.6. The line integrals of f in D are independent of path if and only if f has an…

A: Given: The line integrals of f in D are independent of the path if and only if f has an…

Q: The term r ryis homogenous of degree two. -

A:

Q: . Show that 1, x, x² are three particular integrals of x (x2 - 1) yı +

A:

Q: | (a* + 3) In z dr

A: The integral function is given as: ∫x3+3lnx dx Apply the integration by parts , ∫u·v dx =u∫v…

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A: Given :          ∫56xdx