Discrete Math: Lets say B = {1,2,3,4,5,6}. Let R be the smallest equivalence relation on B which has the ordered pairs (1,2) (4,5) (4,6). List all the ordered pairs in R(other than the ones above). Draw the diagraph that represents R.

Q: Evaluate L{t cosh 4t. 1 1 + (s – 1)’' (s+1)* А. В. (s-1)* (s+1)* 1 1 С. (s –4)° (s+4)' 3. D. (s-4)*…

A:

Q: Evaluate the gamma function

A: Introduction: The Gamma function is an integral function that is defined as Γz=∫0∞xz-1e-xdx The…

Q: Üse the modified Newton-Raphson method to find the solution correct to six decim places near to x 2…

A: As per Bartleby guidelines we're supported to answer only first one question when two or more…

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…

A:

Q: dx 2 9 cos? x- sin? x ,2 COS

A: Some of the properties of trigonometric  tanx=sinxcosx1+tan2x=sec2x∫1xdx=lnx+C

Q: Discrete Math: Draw a graph with the following degree sequences. If you can't explain why. Degree…

A:

Q: Consider the initial value problem y(2) = 5. Using the Duler's method we have Select one On-5+18h O…

A: For 1st one. The given differential equation is…

Q: Q4. Without solving (proper computation), show that determinant of the following matrix is zero. -1…

A: The Given matrix is 1-13-8-522-26To show the determinant of above matrix is zero without…

Q: Q1: Use differentials 3x-2 the appsorimate ay to AY from clanges when and x 2 to 2:63-

A: Given function is y=3x−2. We have to approximate ∇y when y=3x−2 and x changes from 2 to 2.03.…

Q: 4. Determine a root from the given function using Fixed Point method with a terminating condition Ea…

A:

Q: Problem A.4 Find all solutions of the following equation: 0 1 1 2 1 2 3 4 20 20 -4

A:

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

A:

Q: 3.45. Find all solutions to the following equations: (a) Log(z) = (e) cos(z) = 0 (b) Log(z) = i Злі…

A:

Q: Example 2. A pharmaceutical company manufactures three type of medicines A, B and C. The processing…

A:

Q: Determine from the given graph whether the function has any absolute extreme values on [a, b]. Ay…

A:

Q: 2 ft P 3 ft Q 1 ft 2 ft 4 ft R 6 ft 3 ft 4 ft

A: Here the given rectangles are

Q: State which property of determinants is illustrated in this equation. 8 -7 16 6. 16 6. 2 - 8 -7 7 4…

A: Here, you can see that first and second row is interchanged.

Q: Solve the given initial-value problems. y(3) = -1 y+1

A: To solve the given initial value problem.

Q: use elimination pmethod te salue- At +2xg=17

A: We have to find the solution of the given system.

Q: g(x) = ex (cos ex – ex sin e)

A:

Q: od k. If k and k2 are induced moduli for x prove

A:

Q: sequence of non-ne a point xo. Then for every k e N Lim %D n-00

A:

Q: 3. 2 Find a non-zero vector in R* which is orthogonal to 1 and 2 1

A: Given vectors are 1234, 3121 and 2311. We have to find the non-zero vector in R4 which is orthogonal…

Q: 0. 11. If we buy 2 tickets from station A to station B, and 3 from station A to station C, we have…

A: let the fare from station A to station B be Rs x and the fare from station A to station C be Rs y…

Q: 2. T = {m EZ| m 1+ (-1)^i, for some integer i} *

A: Given T=m∈ℤ|m=1+-1i for some integer i

Q: Find the solution. dy x-+ 5y =2r2y4 dx

A:

Q: Find the Laplace Transform of the following functions s? - o? 1) f(t) =t cos(@t) Ans. F(s)= (s² +…

A:

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

A:

Q: A man on a cliff observes a boat at an angle of 'depression of 30° which is approaching the shore to…

A:

Q: Determine the volume of the solid obtained by rotating the region bounded by y = 2x+ 1. x = 4 and…

A: 1st we will draw region bounded by given lines and then will rotate it about x=-4 line to generate…

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

A:

Q: Let f(x)=x^3+x^2-3x-3 a) Find the location of the roots. b) Find an approximation for the positive…

A:

Q: dy + sin 2x + sin 2y + 2 sin 2x sin 2y dx solve by Separable method

A:

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

A:

Q: Evaluate the Legendre symbol (55|179) using only the definition and multiplicative and mod p…

A: We need to evaluate Legendre symbol , 55179 We know that , Quadratic reciprocity law ,  If p and q…

Q: Find the maximum and minimum values of the function f(x, y, z) = x²y² z? subject to the constraint…

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

Q: A farmer raises cows and chickens. The farmer has a total of 42 animals. One day he counts the legs…

A:

Q: 2- y = xy? O y-' +x - 1 = ce* O y +x - 1 = ce*

A: Given differential equation is dydx - y = xy2

Q: Problem 1. Prove that A → BF (Vx)A → (Vy)B, if y is not free in B.

A: To prove: A→B⊢∀xA→∀yB, if y is not free in B.

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: Using the Trapezoidal Rule with n=8, approximate the value of the definite integral 0.5 Cs X dx. 0.1…

A:

Q: If a * b denotes a² – ab + 2, find the value of 2* (3 * 2). What is the value of x if x * 3 = 0? %3D

A: Given a * b = a2 - ab + 2

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

A:

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

A: Solution :-

Q: Given x^k = 1.672531 and x^k+1 = 1.725641, find d^k.

A:

Q: To prepare astronauts for the experience of zero gravity (technically, microgravity) in space, NASA…

A:

Q: You are given a choice of taking the simple interest on $100,000 invested for 2 years at a rate of…

A: There are different types of interests. Simple interest and compound interest. Let P be the…

Q: From the system x' = -x + 5y og y' = -y We know that the vector function (top of picture) is a…

A: We have to find the general solution of the given system.

Q: 2 Find the following required partial derivations: igal ,find f.(x,1); • (1) For f(x, y) = x + ( y –…

A: Let us consider the given function y=f(x,y) The first order partial derivative is  ∂f∂x,∂f∂y The…