1.Write the first four terms of the arithmetic sequence with first term is 8 and common difference is 3. *

Q: 86 105 45 533 %3! 200 - + - Need Help? Read it

A: This is a higher-order system of equation, 

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A: The complete solutions are given below

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A: Note:- 1. An equation of the form M1x, y dx +N1x, y dy=0 is called exact differential equation if ∂M...

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Q: The minimal polynomial of 2 1 0 0 0 2 0 0 0 02 0 0 0 0 5 is

A: Given matrix is 2100020000200005

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Q: For numbers 6 – 10: Using least squares approximation, let us find the linear and quadratic interpol...

A: The normal equation for y=ax+b can be written as ∑y=a∑x+bn and ∑xy=a∑x2+b∑x, where n is the number o...

Q: 1-1

A: If we subtract 1 from 1, then it will be 0. i.e. 1-1=0

Q: 29. 30. - 16 s + 10 1 31. s2 - s - 2 32. (s + a)(s + b)

A:

Q: 4. Find a quadratic polynomial with roots -1 and 2. A. a2 a + 2-0 B. a2- a 2-0 C. a2 + a 2 0 D. a2 +...

A: We have to find the quadratic polynomial with roots -1 and 2

Q: da) The eigenvalues of a Sturm-Louville problem are always positive. Ab) The eigenfunctions of a Stu...

A: (a) The eigenvalues of a Sturm-Louville problem are always positive - True.    

Q: Express the following argument in propositional logic                                               ...

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Q: (-1)"n! 3. (a) Test the series for absolute convergence. n=1 2 (b) Prove that the series 1+ 2"-1 +.....

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Q: Solve for x using secant method using four iterations. Assume xo=1 and x1=1.5 f(x) — 3х* — х + 1 Sho...

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Q: ed for 125 machine-parts? (b) What is the greatest er of the machine-parts that could be made with o...

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Q: Consider the matrix 3 1 1 1 A = 4 2 1 1 -1 1 Find a basis for the range R(A) of A. Find a basis for ...

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Q: 2. Induction. For m, n e Zt, define P(m, n) to be: (п + m - 1)! n!(т — 1)! the number of ways to wri...

A: we have given for m, n ∈Z+ define P(m, n) to be the number of ways to write n =x1+x2+.......xm with ...

Q: The graph of an exponential relationship is shown in the following applet. P1 = (0.00, 2.00) P2= (2....

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Q: Question: Find the value of the constant H so that the mass of the solid object with = Va2 + y? gram...

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Q: y" – 2xy' + 5y = 0. Determine the first three nonzero terms in each of two linearly independent solu...

A: The solutions are near the ordinary point x=0. Consider the solution is y=∑n=0∞anxn. Differentiate t...

Q: Show that the relation R defined on the set of integers ℤ by (a,b) Î R if a – b = 6k for some k Î ℤ ...

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Q: 5. Consider the 3 x 3 grid shown below. What is the number of cycles in it?

A: The given figure has 3×3 grid , To find the number of cycle it has :-

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Q: 50. Pigs will fly and monkeys will fall out of my nose, if I ever take another logic class. (PFMNT)

A: Pigs will fly and monkeys will fall out of my nose. If I ever take another logic class.  This statem...

Q: the number of ways to write n = xı + · ··+ xm wit .. (a) Prove each of the following statements. i. ...

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Q: 0.0400= I.100-x]L•100-X] (2x3

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Q: Prove from the definition of differentiability that the function f : R\{3/2} → R f(x) = 3 – 2x is di...

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Q: 1. -1 5 2. 4 -3 17 14 V64 6.88 13 V52 7.25 4. - 6.4, - /15 3.2 - 5.8 5. 9/2 5/2 2. 2. 3.

A: 1. Arrange the numbers in increasing order that means first write the smallest number out of the giv...

Q: c f(t) = 10cos2wtsin2wt %3D

A:

Q: 3. a) Find the percentage error in computing u = vx at x = 2.45, when x is 4 b) If Ax = 0.005, Ay = ...

A: We will use basic concept of errors here. 

Q: -4 - n<t < 0 f(t) = { 4 0<t<n

A: Given periodic function is:f(t)=-4   -π&lt;t&lt;04          0&lt;t&lt;πWe have to find b1

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Q: Pegasus Inc. surveyed 700 potential customers and asked whether they like to shop in a store or on-l...

A: Given: The number of people like to shop in store n(A)=325 The number of people like to shop online ...

Q: Solve the differential equation 7x dy 10x + 7y %| Answer:

A: The given differential equation is: 7xdydx=10x+7y     ..........(1)

Q: (X+y)²

A: we have to find (X+y)2 (X+y)2 = (X+y)(X+y)

Q: |x'y" -y': y'a - y'= es K(t) = (x2 + у'?

A:

Q: Vn+1 b) En=1 n2+n+1

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Q: -1 8 9 10 -1 The graph above can be written as y = f(t)ua(t) + g(t)u;(t) %3D Where f(t) =- 2 a =|4 g...

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Q: Sve the following initial value problems (a) y-9y-0 (0)-1

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Q: 3. Z =3 -6 5 answer: Z = 366 2

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Q: Exercise 4. Express the following as a power series and determine the radius of convergence: 1+ iz (...

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

Q: erest rate of 7%, the amount earned 11,200 pesos of simple interest in 2 years and 9 months. How muc...

A: Introduction: The formula of simple interest is given by, A=P(1+rt) Where P is the principal amount,...

Q: 1. Find the volume of the solid formed by revolving the region bounded by the graph of y = 3x + sin°...

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Q: (a) give an example of a simple mathematical argument that is valid and sound. (b) prove its validit...

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Q: 3.5 A-4.5 5/K 225

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Q: Attempt all the questions: Q1. (a) A = .B = J verify whether (A + B)(A + B) = A² + 2AB + B² %3D

A: 1a Given matrix is A=2−101 and B=10−1−1. We have to verify A+BA+B=A2+2AB+B2. Now, A+B=2−101+10−1−1=3...

Q: 2. Use the bisection method to solve the equation x + cos x = 0. Show an appropriate graph. a. b. It...

A: In part (a) we plot two graphs one of y=x and another of y=cos(x) and with the help of the graphs we...

Q: hス64/ 43h (2x+14)*

A: