Example 7. Show that the integral equation g(x) = 1 (sin x sin 2t) g(t) dt has no eigenvalues.

Q: Use the Binomial Theorem to expand the expression (3x + 2y') Show your work.

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Q: (2) Prove that Q(V2) and Q(V3) are not isomorphic as fields.

A: The complete solutions are given below

Q: *"()-3х ()- у ()+ 2у()- 141 +3 * ()- 3x()+ у () - 1 %3D

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Q: 3. The coefficient matrix of the system AX = 0 is given as 1 1 3 1 2 -1 0 1 -1 A = -3 2 1 -2 1 4 16…

A: For the solution of the problem follow the next steps.

Q: (3) (a) Suppose a ring R is a finitely generated algebra over a field k. Prove that the Jacobson…

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Q: Determine the monthly payment for the installment loan. Annual Amount Financed (P) Rate (r) $16,000…

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Q: 1の4--9 aub FVAM ATを l0gb logA 164 こ てレフ)

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Q: (A, R) and (BiS) two sets partially given. We define on the product Ax B a relation T by: (a,b) T…

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Q: Represent f(x, y) by a series f (x, y) = LBmn Sin sin m=1 n=1 where 0 < x < 2, 0 < y < 2. f (x, y) =…

A: The given problem is to find the value of Bmn for which the given series of f(x,y) over the given…

Q: (Hölder's Inequality

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Q: Let X and X' denote a single set in the two topologies T and T', respectively. Let i : X' → X be the…

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Q: 4. Show that V2 ¢ Q(v3) and Q(V2, v3) = Q(/2+v3). Hence find the mmp of V2+ V3 over Q.

A: We know that ,  ℚ2 = a + b2  / a , b ∈ ℚ ℚ3 = a + b3  / a , b ∈ ℚ  We need to prove that , 2 ∉ ℚ3 On…

Q: ed the answer quickly

A: (e) Given,                 110000-210-1073021

Q: Is it true for abstract algebra that if a*b=a*c then b=c

A: Use the following axioms of group, to obtain the solution. Let G,* be a group and a,b,c∈G.…

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Q: Q1: There is a factory working to produce two pump types (X, Y), by using four parts ( A, B, C, and…

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Q: [(pVq)AT] → ¬p is logically equivalent to A. -p V¬q V-p B. -pA¬q V¬p C. -p A¬q Ap D. ¬(pAg)→¬p

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Q: Let n > 1 be an integer. We say that [x] E Z/n is a zero divisor if there ex- ists [y] E Z /n –…

A: Introduction: The units in a ring is very important. It is not necessary that every ring has…

Q: Question 6 Find the solution. y' = e2x + 3y

A: the given differential equation is y'=e2x+3y rewrite the equation as  y'=e2x+3y dydx-3y=e2x The…

Q: Find the maximum value of Z = 2x + 3y +y< 30, y 2 3, 0<ys 12, x – y 2 0, and 0<x < 20. subiect to…

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Q: (1 1<t<3 f(t) = 0 otherwise

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Q: Use the present value formula to determine the amount to be invested now, or the present value…

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Q: which is the n/2 Example 2. Solve g(x) = sin x+a sin x cos t g(t) dt. %3D [Bikaner 2012]

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Q: 1. Determine a root from the given equation below using Newton-Raphson method with the terminating…

A: The given problem is to find the approximate root of given equation using newton raphson method with…

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A: We have to take out 4 from 24. So we will apply combination.

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A: 1st we will decide function and then will find all parameters depending on given data .

Q: (Round off tc tons/yd² to pounds per square inch = ace)

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Q: s(s² + 4) - f(t) = ;(1 – sin 2t) . f(t) =(1 – cos 2t) C. f(t) = (1+ sin 2t) D. f(t) =(1+ cos 2t)

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Q: p*q denotes (p + q) / q. (a) Find the value of x when x * 6 = 4, (b) Solve the equation 2* x = x*…

A: Given operation is p * q = p + qq

Q: You deposit $13,000 in an account that pays 5.5% interest compounded quarterly. A. Find the future…

A: We have to find the future value.

Q: 1 j³ + 2 j=-0

A: Given that  ∑j=-∞∞1j3+1 consider the related integral ∑j=-∞∞1j3+1=∫Cdzz3+1 where the contour C. As…

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A: This is a problem of motion of a particle.

Q: Evaluate by Exact D.E. (2xy – 3x²) dx + (x² + y)dy = ( Oc= =y+x² + % 2 Oc = x²y – x³ + y? %3D 2 Oc =…

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Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

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Q: Determine the area bounded by the curves y^2 = -4x and y = 2(x+2).

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Q: 1. Dahlia invested $300 at the end of each month into a fund that pays 3.6 % per year, compounded-…

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Q: Determine the present value P you must invest to have the future value A at simple interest rate r…

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Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

A: To use the compound interest formula to compute the total amount accumulated and the interest…

Q: Q4) Let f(x)= 2x +2x-5=0 find an approximation for the positive root using False Position method…

A: The solution of the problem is given in the next steps.

Q: G8. Construct the graph where the vertices are you, your parents, and your grandparents with a…

A: Given : Vertices- you, parents and grand parents Relationship- born in same state.

Q: Question 1 Find the solution. (4D3 + 4D2 + D)y = 0

A: Given (4D3+4D2+D)y=0 Change to Auxiliary Equation 4m3+4m2+m=0

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Q: Use Stoke's theorem to compute the integral [[s(V × F) · n dS, where • n F(x, y, z) = (xz, yz, xy)…

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Q: Out(4) G3. List the set of vertices for the graph above:

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Q: A Russian bomber plane is sighting on a target on the ground directly ahead. If the bomber is flying…

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

Q: G2. Draw a graph with the set of vertices V = {a, b, c, d} and the set of edges E = {{b, c}, {c, d},…

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