38.5. Explain why it is important for a and n to be relatively prime in the equation ax = b (n). Specifically, you should do the following: a. Create an equation of the form ax = b (n) that has no solutions. b. Create an equation of the form a.x = b (n) that has more than one solution in Z, .

Q: 2. 21 Зу 6 Solve : =+ x 3y 3 2 -+==0 х у and hence find 'a' for which y = ax - 4

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Q: Solve the following equation with master theorem  T(n) = 2T(n/2) + n2

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Q: If you apply two steps of the Secant Method to x3 = 2x + 2 initial guesses x0 = 1 and x1 = 2, Then…

A:

Q: 4-The equation x^2+2x-3=O has only one root in the open interval O a. (-2,0). O b. (-1,1). O c.…

A: Thus is a quadratic equation we can find the roots of the equation by solving them

Q: Also, from Theorem 4.9', we have k2k-1 k2k [(E – 2)(E – 1)(E +2)]¬!2* (4.239a) (1 · 4)(1!)…

A: The one is red is [(E-2)(E-1)(E+2)]-12k=k2k-1(1*4)(1!)=k2k8        (1)y(P)k=-79k-k26+k2k8…

Q: A and B each have certain number of oranges. A says to B if you give me 10 of your oranges i will…

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Q: Solve  equation with master theorem  T(n) = 2T(n/2) + n2

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Q: 9. Solve u = 3b – 2a + 2 , for a -

A: see below the answer

Q: 28x+4y+kz -10 -5x-8y-4z = -2 e must have, k +|

A: The given system of equation is: - 6x + 4y + 7z = 3 28x + 4y  + kz = -10 - 5x - 8y - 4z = -2

Q: 4 The value of 2 n=1 3n2 will be + 6n .... .

A: See solution below

Q: 12. The next iterative value of the root of x² – 4 = 0 using secant method, if the initial guesses…

A:

Q: 9. If TV = 74 and WV = 4x + 1, solve for x. %3D U W V.

A: 9. The figure of the parallelogram is given by To evaluate : The value of x if TV = 74 and WV =…

Q: The solution of e² = - 11 has the form x + ily + 2nn) where n is an integer. What is the value of x?…

A: The given equation is                                                ez=-11

Q: 2. Count the number of rearrangements of the word TASTE in which no letter appears in any of its…

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Q: 2.5 Solve for z if cosh z = V3i.

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Q: 1. Find homogenous solution of the following rule. 2. Find complementary solution of x (Xp) using I

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

Q: Exer. 81-82: When computations are carried out on a cal- culator, the quadratic formula will not…

A: The first formula is denoted as x=-b±b2-4ac2a and the second formula is denoted as x=2c-b∓b2-4ac. We…

Q: Use the previous problem to show there are infinitely many solutions. to r² = 1+ y² +².

A: As per the question we have to prove that there are infinitely many solutions to the equation : x2 =…

Q: For which values of a does ax = 1 have a solution in Z5?

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Q: #4 (Greenwell, #52, p. 271) The number of people P(t) (in hundreds) infected t days after an…

A:

Q: ) A certain appliance is designed to operate at no less than 9/2% below its nameplate voltage and at…

A: Given: A certain appliance is designed to operate at no less than 9/2% below its nameplate voltage…

Q: [х + у х— 1. If 1=k , solve for the values of x, y, and z Lx — у [12 6 9. -

A: As per our company guidelines,  we are supposed to answer first question only. Please resubmit other…

Q: 6. Find the smallest constantr so that o(x) == x" is a solution to 3z'y" +11lry -3y= 0, for z >0 -3…

A: 6.ϕr=xr is a solution to 3x2y''+11xy'-3y=0, for x>0

Q: What is the εa of the fourth iteration of the equation x3 – 9x + 1 = 0 using Regula Falsi. Assume an…

A: To find the root of the equation fx=0 in the interval x0,x1 by Regula Falsi method, use the formula…

Q: Suppose that a random number  is chosen from the interval (0,2). What is the probability that the…

A: Given: The random number is chosen from the interval (0,2). Quadratic equation is 4x2-x+k

Q: 8. Solve the Cauchy-Euler equation 4x²y" + 8xy' + y = 0.

A:

Q: x³ – 2x? – 5 = 0, [1,4]

A: Reframe the function and find the term for x.

Q: 51. If objects of weights x and wi are suspended from the balance in Figure 14(A), the cross-beam is…

A:

Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10, 0≤ Y3 ≤…

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Q: Q3: If you replaced the coefficients of x1, x2, and x3 by 50, 20, 10 What is your final JJI Jguz lio…

A: Here, We have to replace the coefficient of x1, x2, x3 by 50,20,10 Than we have to answer the…

Q: find the general solution to Ut – 2Ux = 0 |

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Q: show that x'-15x +C= O has at most root on E2,2] one

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Q: Find the approximate solution by graphing: x² + 5x – 3 = 0 O 0.5, 5,5 O 0.5, -5.5 O -0.5, - 5.5 O…

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Q: 7. What necessary and sufficient condition do you need to impose on an integer c so that the…

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Q: 15. Find the general solution of dr bcosedr + rsinode

A: General solution of differential equation

Q: 25 Solve for x ax+by=c

A:

Q: 2) solve: 4-Hy+34 using the unde ter mined coefficieuts methed = 20 cosX

A: Solution is given below:

Q: find The Six Solutious of The eq- 6 Z+27+2

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Q: Verify that the Diophantine equation x² + y² where d'(n) and d"(n) are the numbers of positive…

A: We will first show that product of two square numbers can be expressed as a sum of two square…

Q: For which values of a and m does ax = 1 have a solutionin Z m?

A: To find for which values of a and m does ax=1 have a solution in Zm. Zm=0,1,2,....,m-1 when a=0,…

Q: (1+2 In æ)*

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Prove that there are no solutions in integers x and y to the equation 2x2 + 5y² = 14.

A: Two different proofs are given for the given problem as follows :

Q: 2. 1. If UZ = x+ 21 and ZS = 3x – 15, find US.

A:

Q: 5. Find the general solutions to the nonhomogencous, lincar difference cquations. (a) x,12 + X141 –…

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Q: For which values of a does ax = 1 have a solution inZ6?

A: Z5=0,1,2,3,4,5ax=1If a=0, then 0x=1⇒ No solution.If a=1, then 1x=1⇒One solution,x=1

Q: Show complete (detailed step-by-step) solutions to the following on bond papers. 3. Solve using the…

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Q: 4 1.4=- V9.81Y SOLVE FOR Y

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Q: 4. Find the solution to the IVP in explicit form and determine the interval in which the solution is…

A: y'=3x2-ex2y-5dydx=3x2-ex2y-5(2y-5)dy=3x2-exdx Integrate both sides

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.