In hyperbolic geometry, prove that the Omega triangles ABΩ and A′B′Ω′ are congruent if the pair of angles at A and A′ are congruent and the pair of angles at B and B′ are congruent.

Q: 2. If the density of a random variable R is zero for z¢ the finite interval [a, b],

A: Solution

Q: 2x + 2 dx x2 +1

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Q: Proposition Let (Y,Ty) be a subspace of (X,T) Then each open set in y is open in X if aud if is open...

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Q: HW: Solve the Partial Differential Equations by using separation of variables method: 4u xx = 0 U (0...

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Q: 3. Here is a triangular prism. 4 cm 5 cm 5 cm 10 cm 6 cm + a. What is the volume? The volume is got ...

A: a. Volume of the given figure shall be: V=Area of triangle×length First we shall find the area of th...

Q: et whose A = T be standard matsix teans bormaton is the lineas 2. 3. Does maps R3 onto R4? s Ta one ...

A: Given that T is a linear transformation whose standard matrix is given by A=203032005000. We have to...

Q: olve for the Laplace transform : (5)

A: Laplace transferom of the function.

Q: frave that fux=X xefos4] is Rinteglable and find ff Ly

A: Given a function f(x) and consider the partition P and then calculate U(f,P) and L(f,P) and then fin...

Q: Find the approximate root of x^3+5x-2=0 by using bisection method. Typed solution needed otherwise ...

A: Given,            x3+5x-2=0

Q: 3. Problem 3: Let V be the collection of vectors of the form [ positive real numbers; vector additio...

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Q: 9 If a function is continuous ( can be drawn by a pencil without lifting the pencil from the paper.)...

A: Consider the function       f(x) = |x|,  Then, f(x) is continuous.  But f(x) = |x| is not derivable ...

Q: 1. Write out the addition and multiplication tables for Z6 (where by addition and multiplication we ...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: 2Ct-3) Cos Ct-3)

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Q: E (e+1)" converges for 3" n=0 None of these O-4 < x < 2 O-4 < x < 2 O-4 < x < 2 O x < 2

A: To find  The interval of convergence. 

Q: 1 What is the order of the following matrix? (4 9 2 -1) 3 5 7 6 8 1 6 3 4x3 O 3x4 2 The dimension of...

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Q: (e– 1)y' = 2 + cos.x -

A: Let us consider the differential equation of the form dydx=f(x)g(y) Rewrite the equation as 1g(y)dy...

Q: 1 Q.3 Evaluate ((s+2)(s² +4)]

A: The given problem is to find the inverse Laplace transform of the given function Y(s) Given Y(s)=1/(...

Q: Let R be a ring with identity 1 and let a be an element of R such that a2 = 1. Let S = { ara : r e R...

A: we will use sub ring test.

Q: 4. Suppose you are given equations of two overlapping circles as shown below. a. Determine how to fi...

A: a) If Two circle intersect according to the figure and their equation are  (x-2)2+(y-1)2=25 and (x-9...

Q: f Ct) 2 (3t-5)? e e 4t

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Q: 10 Find the inverse of matrix A -7 A = -31 -8) 1 [-8 a) 59 3 -1 -7. 1 [ 8 b) 59 31

A: Given matrix is A = -7-31-8

Q: 6. Write down a matrix A in row echelon form with the following properties: 5 rows, rank(A) =4, null...

A: We want to find a matrix which satisfy given conditions.

Q: 2 A = 1 2 3 4 The determinant of A is -1/2 1/2 -2

A: We have to find the determinant of the matrix A =1234  formula : Consider the matrix A= abcd , Then ...

Q: Let V be a vector space, and let v1, V2, V3, V4, V5 E V be distinct vectors in V. If B = {v1, V3, V5...

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Q: Let u be a unit in ring R. Show that u divides x, for all x in R. (That is, show that x = uy for som...

A: Let u be unit in a ring R  Then there exist v in R such that  uv = vu = 1  Where 1 is unity of ring ...

Q: 22n+1 Σ 52n+2 n=0 4 25 8 525 2 21 diverges Drevious Dage Next Page || 2/15

A: To find Whether the series converges or diverges. 

Q: Solve with step?

A: Given,       c(x)=x2-2x-3x2-4x-5

Q: 2. (a) Compute the determinant of the following matrix. 4 -5 13] A -2 3 16 7 10 8

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Q: If A is a symmetric matrix, then At = |A| A diagonal matrix

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Q: 6 1 2 A = 3 4 The determinant of A is -1/2 O 2 O 1/2 -2

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Q: dy + 2 dy + y = sinh 3t – 5 cosh 3t ; y (0) = -2, y (0) = 5 II %3D |3D | dt? dt

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Q: 3. A parking lot charges $1.50 for increments of thirty minutes. For example you pay $1.50 if you pa...

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Q: = 1. Define the function f : Z x Z → Z by 2. Suppose a,b are natural numbers with ged(a, b) f(m, n) ...

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Q: Find the Volume of the region bounded by the graphs of y=√x and y=2sinx+1 and the x-axis with rotati...

A: Given function fx=x and y=2sinx+1 and x-axis. We have to find the volume of region bounded by the gi...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: y = -x^2 + 4x , y = x^2 - 6x + 5 , x = 0,x=1 O 2.012 sq. units O 2.022 sq. units O 2.032 sq. units O...

A: The given problem is to sketch the given graphs and intersection points and also find the area forme...

Q: (c) If F(x) = San x Jesa dt find F'(x).

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Q: Graph the curve x = 2 cos(theta) − cos(2theta),     y = 2 sin(theta) − sin(2theta) If this curve is...

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Q: A charity benefit is attended by 30 people and three $50 gift certificates are given away as door pr...

A: Given: Total people are 30. Total gifts that can be given are three. To determine: Total different w...

Q: Evaluate the double integral f(r, 0) dA. 2 sin(0) cos(0) dr de Sketch the region R. A/2 T/2 3h 2 1 -...

A: Evaluation of the double Integrals  

Q: Solve X(n) of the given X(2) using the 3 methods X(2) = Ito. 32 + 0.52 :- It 0-8 2+ 0.152

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Q: A periodic function of period 2n is defined for 0 1) u÷- x- 2π ( 5π< x < 2π) Sketch f (x)for (-27 <...

A: Given: Let us consider the given  function, fx=x0≤x≤12π12π12π&lt;x≤π-12ππ&lt;x≤32πx-2π32π≤x≤2π

Q: b) Determine the gradient of each side of the triangle c) Using your answers in a) and b), justify t...

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Q: Find the 3rd derivative of f(x) at x = 1.15 using the second order accuracy formula. Present your an...

A: .02

Q: If(z)- 니 < e. By definition Show that: lim, »1+i = - а. b. 4 lim = 2i. %3D 2- 1-i z2

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Q: 4 If A is a symmetric matrix, then At = |A| O A diagonal matrix

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Q: { 0 27. 9t Express the answer using the symbols of unit step functions. (b) Express the answer obtai...

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Q: Ax) = eV cos(x) +:

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Q: In any obtuse triangle, the square of the side oppo- site vne obtuse angle is equal to the sum of th...

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Q: 2. Draw the graph of y=frac(x)+1. Note that we defined frac(x)=x-floor(x).

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