The least positive solution modulo 330 for the system х3D 1(тod 5) х%3D 2(тоd 6) x = 3(mod 11) is x =

Q: Find all solutions to the system of congruences x ≡ 1 (mod 2), x ≡ 2 (mod 3), x ≡ 3 (mod 5), and x ≡…

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Q: Find the two smallest positive solutions of 5sin(5x)=3

A: 5sin(5x)=3 sin(5x)=.6 sin(5x)=sin36.87°

Q: Find the general solution to the system of congruence equations X ≡ 1 mod 6; X ≡ 4 mod 9; X ≡ 7 mod…

A: The given problem is to find the general solution for the given system of congruence equations and…

Q: Find all solutions to the system of congruences: x ≡ 7 mod 12 x ≡ 37 mod 45 2x ≡ 134 mod 150

A: The given problem is to find the all solutions which satisfies the given system of linear…

Q: 2 2/The third term of a geometric sequace whose First term 2 and its FiFth tom 162 is ? A- az a 18…

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Q: 10. Use Euler's method, starting at x computations that lead to your ar 1.2 1.3 1.4 10 12 13 14.5

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Q: 4. Find solutions of the system of congruences x = 3 (mod 7), x = 1 (mod 5), x = 4 (mod 6). a) 964…

A: I have used chinese remainder theorem

Q: 6x 4x 7x + 40 Compute 7. O6+ 80 + C O 3x + 4x - 7In]x| + 40 + C O 18x+ 8x - 7 +C 2x O 3x + 4x-7in|x|…

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Q: + メ dx 1+ I Ans: (am)! ] %3B リx」 + C, イ

A: Consider the differential equation, y"+xy'+y=0   ⋯⋯⋯1. To show that the solution for the above…

Q: One day you saw a news on Facebook about COVID-19. At 1 PM. you tagged the post to 1% of your…

A: This problem can be considered as recurrence relation problem.

Q: Show that ri =1+i, r2 = 1-i is a solution of (3+ i)x + (1+ i)x2 = 4 +4i %3D

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Q: Solve the recurrence relation x,n+2 = }*n+1 +an subject to initial conditions xo = 0, x1 = 1. Once…

A: Suppose a two ordered linear recurrence relation is, xn=Axn-1+Bxn-2…

Q: Find all incongruent solutions to the system of congrucnces. 16x = 8 (mod 3) 2.x = 3 (mod 5) 5.x =…

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Q: x = 3 (mod4) (6pow) g = x x = 8 (mod12)

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Q: ). Hence, solve for the system below 7x + 3y = 10 (mod 16) 2x + 5y = 9 (mod 16)

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Q: 1. Suppose we build an LFSR machine that works mod 3 instead of mod 2. It uses a recurrence of…

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Q: Find the number of words of 5 letters such that each can be formed with the letters of the word…

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Q: Solve the following IBVP: 0 0, u(x,0) = 2 – 2x2, u(x,0) = 0, 0 0, %3D %3!

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Q: 14 is a solution to the system x ≡ 2 (mod 3) x ≡ 4(mod 5) x ≡ 5 (mod 7)   Select one: True…

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Q: Find the optimum solution for the-3 following modal using the graphical method. Max Z =4X1+3X2…

A: Above question is solved.

Q: 8. Find the solutions to the given system of linear congruence. x= 1 (mod 3) x = 3 ( mod 5) x = 4 (…

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Q: Theorem 9 Let {um}=-5 be a solution to Eq. (18) and suppose that u-s = a, u-4 = b, u_3 = c, u_2 = d,…

A: We are asked to show the following equation, u8n-3=c2ne2n∏i=12nic+a∏i=12n-1ie+c Using the identity,…

Q: In 7 + 4√3| ≈ 2.63391 please show a complete solution on how to get the answer without using a…

A: …

Q: Calculate the value of 1n(-V5 – V5i )

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Q: Find the solution to an = 5an-2 — 4а, 4 with ao 3, aj = 2, a2 =6, and az = 8. Find the solution to…

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Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

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Q: Find ln(9.2), using quadratic interpolation, from ln(9.0) = 2.19722, ln(9.5) = 2.25129, ln(10) =…

A: Given ,  ln(9.0) = 2.19722, ln(9.5) = 2.25129, ln(10) = 2.30259, and ln(11) = 2.39790  We have to…

Q: Within the interval (0,1)we randomly choose two numbers: x and y . Determine the probability that…

A: The problem can be solved using the concept of basic probability.

Q: Find all solution to the system of congruences. 2x = 10 (mod 11) х3 3 (тоd 13) х3 1 (тоd 15)

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Q: Suppose we build an LFSR machine that works mod 3 instead of mod 2. It uses a recurrence of length 2…

A: Consider the given equation. xn+2≡c0xn+c1xn+1mod3 And, the given values are defined as under modules…

Q: 14. Find all solutions to 2sin(5x)-3V3 =-4/3. State exact values only. %3D

A: Given equation, 2sin5x-33=-43

Q: cos(−4x) + cos(12x) / cos(4x) is equivalent to: Select one: not in the list 2sin(4x) 2sin(8x)…

A: cos(-4x)+cos(12x)cos(4x) is equivalent to 2sin(4x) 2sin(8x) 2cos(4x) 2cos(8x)

Q: Only 1 of the next 10 COVID-19 patients will recover. All of the next 10 COVID-19 patients will…

A: Here given that fatality rate of covid 19 here in the Philippines up to date is 1.6%   P =…

Q: If #1 = 5, ,x2 = 3, an = -4xn-1 + 5xn 2, Vn 2 3. Find the general tem an

A: Characteristic equation is: r2=-4r+5r2+4r-5=0r+5r-1=0r=1,-5

Q: solution for some column b,

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Q: A man has seven keys on a key ring, one of which fits the door he wants to unlock. He randomly…

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Q: Find all solutions of the system of congruences X= 6 mod 7 X =1 mod 5 I =1 mod 3.

A: Use Chinese Remainder Theorem.

Q: Find all the solutions to the system of linear congruences: x ≡ 1 (mod 2), x ≡ 2 (mod 3), x ≡ 3 (mod…

A: The given system of congruence is x ≡ 1 (mod 2) x ≡ 2 (mod 3) x ≡ 3 (mod 5) x ≡ 4 (mod 7) x ≡ 5…

Q: 1. Find all solutions to the system of congruence. (Use CRT) x = 1 (mod 2) x = 2 (mod 3) x = 3 (mod…

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Q: In 7 + 4√3|≈ 2.63391 please show a complete solution on how to get the answer withou using a…

A: let f=ln7+43 claim- show complete solution  it is known that  3=1.732 f=ln7+4×1.732

Q: #1 and #2, write a 2-column proof. Given: 5(2x - 8) = 30; Prove: x = 7 %3D 5C2x-8)3D30 Gioen

A: topic:-simplification

Q: Find the number of words of 5 letters such that each can be formed with the letters of the word…

A: We need to find number of 5 letters that can be formed by given word without repetition.

Q: The least positive solution modulo 330 for the system x = 2(mod 5) x = 5(mod 6) x = 3(mod 11) is x =…

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Q: 10. Find all solutions of the system of congruencies x = 2 mod 3 x = 4 mod 5 х З тod 7

A: Use Chinese remainder theorem Answer and explanation is given below

Q: 10. Find all solutions of the system of congruencies x = 2 mod 3 x = 4 mod 5 x = 3 mod 7

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Q: Find a matrix that has independent columns in R 2 but dependent columns ( mod 5).

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Q: Verify that transposition errors of adjacent digits lxi I and lXi- 1 will be detected in a bank…

A: On the contrary, assume that xi-xi+1≠5. Let identification number for bank have eight digits. That…

Q: Solve the systems, if possible. a.) a + 2y = 1( mod 5), 2.x + y = 1( mod 5).

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

Q: Find the smallest positive integer solution for the given system. x= 37 (mod 52) x=14(mod41) You…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.