Find all the non-congruent solutions to  4x ≡ 6(mod 21)  express solutions using the stand residues 0 to 20

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Q: 3. Evaluate (2ry - )+(r +2:)7+(2y- 2r2)k) - dr, where C is a simple curve from (-3,-2,-1) to (1, 2,…

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Q: Use Green's Theorem to evaluate the line integral. v? dx + xy dy C: boundary of the region lying…

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Q: Show that the first graph below can be contracted to the second graph.

A: The graph given is as follows: We are asked to show that the above graph can be contracted to the…

Q: 6. Find the general solution of the linear differential equation (2D² +7D – 15)y = 0. A) y=c,e"²…

A: We have to find the general solution of the linear differential equation 2D2+7D-15y=0.

Q: 2. (D2 – 4)y = 0 when y(0) = 0, y' = 3

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Q: 1. A cosmputer company wants to hire 25 programmers to handle systems programming jobs and 40…

A: This is a problem of set theory.

Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

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Q: 5. Find and sketch the domain of the function z = f(x,y) = /2y - x². %3D

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Q: Question 1 1 -2 1 2 -1 2 -1 0 -1 -2 1 Let A = and assume that 1 1 10 0 0 1 1-1 0 0 0 0 0 0 1 00 1 -1…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Question 8. Define a relation ~ on the set of rational numbers Q by a ~ b iff |a| = ||| (a) Prove…

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Q: A square matrix is half-magic if the sum of the numbers in each row and column is the same. Find a…

A: Solution :-

Q: AAAAAA AAAA 30. If the power series an(x – 4)" converges at x = 7 and diverges at x = 9, which of…

A: We will find possible radius of converges and then interval of converges ,

Q: Let U={a,b,c,d,e,f,g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

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Q: ...] A particle moves such that its position at time t is given by +++)i+ G + 5° – t - 5) i+ ( -* +…

A: "Since you have asked multiple questions, we will solve only the first question. For the remaining…

Q: Find the amount of each payment to be made into a sinking fund which earns 7% compounded quarterly…

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Q: Real Cheap Car Rental Agency operates agencies in two cities, city 1 and city 2. The fractions of…

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Q: 1- nullspace af now equivalent to the for the 1 1- 2. C. that puy -2 B. assume matrix pand Let A

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Q: f F = x 2 yz, G = xy-3z 2 , find (a) ∇[(∇F). (∇G)] (b) ∇- [(∇F)x(∇G)] , (c)∇x [(∇F)x(∇G)] .

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Q: 9. Find the general solution of (D² – 2D+ 1)y= 6e*. A) y= (c, +c,x)e* + 3e™* B) y= (c, +c,x+ 3x² )e*…

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Q: Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A. - 2 -2 - 6 10 9 8 A =…

A: Basis for a row (A) ,Col(A) and null(A)

Q: Question 2 21 0 -1 0 1 1 3 1 Let A = 2.1 Find the eigenvalues of A. 2.2 Find bases for the…

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Q: Determine the truth value of the statement and prove it on a sheet of paper: D= set of integers an…

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Q: 1nd the general and definite solutions of the diIference equations

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Q: Prove that the transformation below is LINEAR. T:R² – → R3 R³ T(x,y) = (x + y, 3y, 2x – y)

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Q: The mean score of a girl in 3 tests is 68. What should her mean score in 2 remaining tests be in…

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Q: Verify the Divergence Theorem by evaluating F.N dS as a surface integral and as a triple integral.…

A: Here we use divergence theorem .

Q: = 1 lim n sin = 1. n→00 n i=1

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Q: Arrange the following functions in a single list so that each function is Big-O of the function…

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Q: x?y" - xy' + y = In(x), y(1) = 0, y(2) = -5; n = 8 1.125 |- 372 1.250 -1.31 1.375 |-1.708 1.500…

A: Given,x2y"-xy'+y=ln(x) , y(1)=0 , y(2)=-5, n=8To find: Solution of given Boundary value problem

Q: 2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

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Q: Evaluate L{t(uo – u1) +tui}. Ouestion 2

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Q: Refer to the problem below. Supply the needed information. Write the unit of measurement. Pritz and…

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Q: Working directly from the e-N definition of convergence (without using any rules for limits), prove…

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Q: 2. Prove that if f be a nonnegative measurable function on E. Then f = 0 if and only if f =0 a.e. on…

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Q: Find the minimum and maximum values of z = 10x + 9y, if possible, for the following set of…

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Q: What order of the taylor series expansion should be solve, to evaluate the exact value of:

A: This is the problem of counting and series expansion.

Q: What is the argument of 2 3-j ? none of the choices 7. 12

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Q: Example 3: Solve the below linear System using Gauss-Seidel Method with ɛ, = 5% %3D 3x, – 0. 1x, –…

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Q: 2.f (t) = cosh wt sin wt

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Q: Which of these graphs have the property that the removal of any vertex and all edges incident with…

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Q: Suppose an agent inhabits a world with two states: S and -S, can do exactly one of two actions, a…

A: Given that The two states S and _S The agent can do only one action  (a) the successor-state axiom…

Q: Let R the triangular region in the xy-plane with vertices at A(0, 1), B(1,1), and C(0,2). (See…

A: Given: The triangular region R in the xy-plane with vertices at A0,1, B1,1 and C0,2.   To find: The…

Q: II. Show your solution completely. 1. Given f = x – 2x+3 and A =[-2,1], find |, f. J[-2.1]

A: To find the given integral