The sum of any two rational numbers is rational work this poblem out with step and why.

Q: Select the graph which satisfies all of the given conditions. Justify your answer in terms of…

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Q: part C D

A: Sol:- (a) First write the given system of differential equation in  x' = Ax form x' =-422-4xFor a…

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Q: b\ If y = 1 + √√2 cscx + cotx is an equation of a function as in the figure find an equation for:…

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Q: Use Dirac's Theorem to verify that the graph is Hamiltonian. Then find a Hamiltonian circuit. A E A…

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Q: 6. a. Is A true or false? BAC = True AV ¬(DE)= True (¬B V ¬D) = True b. Is B true or false? A → B AV…

A: 6.a) Hint: If A∨B is true then either A or B is true. If A∧B is true then both A, B are true.

Q: Consider the Laplace Equation with 0≤x≤2, 0≤ y ≤1 and the meshsize equal to 0.5. The boundary…

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Q: 1-1²/2-21 ²1 and 8 - 1²/2227 2√ B = √2 Q1:a\If A = B are commute? or not? find each ofAB and BA then…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 3. X(s) = 1 s² - 8s + 25

A: I have given the answer in the next step. Hope you understand that

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Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer t $900,000…

A: Loan Amortization Formula PMT=Pr1+rn1+rn-1 Where 'PMT' is periodic payment, 'P' is loan amount, 'r'…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

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Q: 1. (System of Linear Equation) choose below. Show manual calculation. Solve the system 2x₁ + x₂ + x3…

A: Given Data: 2x1+x2+x3-11x4=15x1-2x2+5x3-4x4=5x1-x2+3x3-3x4=33x1+4x2-7x3+2x4=-7 To solve the given…

Q: Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated…

A: Given information Present value PV=$10,000 Rate of interest r=0.1% per month ⇒r=0.1100=0.001. Time…

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A: Perpendicular axis theorem: When a body is symmetric in shape about two out of three axis and if the…

Q: a) b) Negate and simplify the following statement in symbolic form. "Vx,y[((x>0)^(y<0)) → (xy <0)]…

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Q: How many ordered lists are there of three items chosen from four? ordered lists

A: Introduction: Basically A permutation is an arrangement of items in a specific direction or…

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Q: Equilibrium Price: Skateboards The demand for your hand-made skateboards, in weekly sales, is q =…

A: The weekly sales is q=-2p+400 where p is the selling price  The supply is q=3p-300 per week the…

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A: Disclaimer: Since you have asked multiple question, we will solve the second question for you. If…

Q: A programmer plans to develop a new software system. In planning for the operating system that he…

A: Sol:- Given Margin of Error = E = 0.02 For 99% Confidence Interval  zα/2=2.576

Q: Profit or loss? Freight forwarder pays to the shipping company : 1 x 40 container to Amsterdam at…

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

Q: 1. (System of Linear Equation) choose on one of the method below. Show manual calculation. Solve the…

A: We will solve by gauss elimination method Consider  x1= a  x2 =b x3=c  x4=d Now we find a,b,c,d…

Q: Q3: a\ A triangle whose vertices are A = (-1,0), B = (2, 1), and C = (1, -2), find:

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Q: Q1 Examine stability of a dynamical system described by following equation: x=μx + 2x³-1x5 Calculate…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Determine the moments of inertia about the y-axis of the circular area without and with the central…

A: Solution :

Q: B The equation of a curve is y = cotx - 8 cos x, 0<x< π, find the coordinates of the points on the…

A: If the equation of the curve is given y=f(x)  Then we find dy/dx and then equating to 0 we get the…

Q: While scanning through the dessert menu of your favorite restaurant, you notice that it lists 8…

A: Given that: Total number of desserts = 8 Number of desserts include yogurt = 6 Number of desserts…

Q: 3. What is the partial fraction decomposition of the Laplace transform F(s) = A) B) B C A + + s+1 (s…

A: As 4,5 and 6 are not interrelated these are treated as different questions. As per our guidelines we…

Q: Evaluate the given expressions. f(-1) = 1 f(0) f(1): = 0 = 3 Use technology to duplicate the graphs.…

A: Solution :  To evaluate the given expression We the given the technology formula is  f(x) = {…

Q: Consider the given event. Two indistinguishable dice are rolled; the numbers facing up add to 9. How…

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Q: Now, let's find the future value of the annuity. Recall that the future value FV of an account after…

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Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: The investment for the given future value of $70,000After seven years is  PV= $46,554

Q: Investing: Lesser-Known Stocks The following question is based on the following information about…

A: Given Data: Annual dividends =248 $

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Q: Determine if the following statements are TRUE or FALSE. N2is O(N log N) 2N is O(N20)

A: We have a result :. Smaller function =O(bigger function) With the help of this we justify the…

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Q: The following table shows the results of a survey of 500 authors by a publishing company. Total 155…

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Q: F = xe 6x2 1 + e2yj+e 62k; the path is CUC2 where C1 is the straight line from (0, 0, 0) to (1, 1,…

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Q: 3. Given C = 311 131 1 13 a.) Find an orthogonal matrix P that diagonalizes C (i.e, P-¹CP is…

A: We find required matrix P by finding eigenvalues and corresponding eigenvectors of matrix C. Then…

Q: Question 1 Which of the following sets of functions are linearly independent on (0, ∞o)? {e³e5, er}…

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Q: Use specialization method to prove the following proposition, "If RS and every element in set S is…

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Q: You wish to minimize f(x)=10X(1^2 )-X_(2^2 ). If you use steepest descent starting at (1,1)will you…

A: Consider the given function, fx,y=10x2+y2 we have given the starting point 1,1. Now, ∇fx,y=20x,…

Q: d²x 2. The second-order differential equation 2- dt² dx +22 dt +20x = 0 represents a mass on a…

A: We can transform the second order linear differential equation into two first order linear…

Q: Determine the rate of change for a function that has the solutions in the following K 3 0 2 -1 1 y…

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Q: Which of the following is correct about the truth value of a given argument? * i. It is true when…

A: We have an argument.  Let the argument be "if p, then q" This argument is false when the hypothesis…

Q: 0 ≤t≤1 t> 1 i) Find Laplace of f(t) using the definition of Laplace transform. - a) Given that f(t)…

A: The solution is given as

Q: Find all solutions of the given system of equations and check your answer graphically. HINT [First…

A: To Find: All solutions of the given system of equations and check the answer graphically.   Given…