1. Create an arithmetic sequence and explain why it is arithmetic. 2. Create a geometric sequence and explain why it is geometric.

Q: A recursive way to define the set E C Z of even numbers is: • Base case: 0 E E • Constructor cases: ...

A: Brief explanation is given below.

Q: Let A and B be the following matrices. -7 A = [9 2 5 -2], B -6 1 Perform the following operations: A...

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Q: For items 1-10, consider the following: The members of Math Club are to choose a representative amon...

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Q: PROBLEM 1. Find the general solution for the given differential equation y(x°e*Y – y)dx + x(y + x'e"...

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Q: 2) In your own words, explain when you need to use the chain rule. Demonstrate with an example.

A: The chain rule is used to find the derivative of the composition of two functions .

Q: Let L : V W be a linear map. Let w e W. Let vo E V such that L(vo) solution of the equation L(X)= w ...

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Q: Evaluate: 2. 2(8-5)z+ 40 – j20 = 0 O 4-j3 04+j3 0-4-j3 -4+j3

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Q: Let A = {5,6, 7}. What is P(A)? Do not merely describe the set, but rather write down all the elemen...

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Q: di x- x(t) defined implicik ly by dt 62XE 19+62VXIn(t) =eAE. Also evaluate dx at (bx)s(1,4).

A: Given the equation is 62+62xlnt=e62xt

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A: The concentration of salt in tank T is: 250400=0.625 pounds per gallon The concentration of salt in ...

Q: a) Find a basis for the null space of A b) Find a basis for the row space of A c) Find a basis for t...

A: Introduction: Assume A is an m by n matrix. The space spanned by A's rows is known as the row space ...

Q: 3 317

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Q: f(x) = -0. 5 (x + 3) (x – 4) (x – 7)´? Explain your answer with | two reasons you agree or disagree....

A: The given function is f(x)=-0.5(x+3)(x-4)(x-7)2.  The graph of this function can not be same as the ...

Q: 2. w(p) – 3 w(v)dv = 10 cos 7p

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Q: Find the solution of the ordinary differential equation by the method of the coefficients to be dete...

A: We have , differential equation, y'' - 3y' + 2y = 3ex + 2e2x The general solution of above different...

Q: Identify what law(s) are being used in each step: (p ^ q) → (p V q) =T (p ^q) → (p V q) = - (p^q) V ...

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Q: QUESTION 3 You are investigating hees' honeycombs for a project. 3.1 First, consider cells arranged ...

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Q: Today is Teresa's birthday. She is 7 years old. How old is Teresa in months?

A: Since there are 12 months in a year.

Q: Let A = {a,b, c} and B = {b, c, a}. Prove that A = B. Thus, the order %3| in which the elements are ...

A: The given sets are A={a,b,c} and B={b,c,a}we have to show that A=BResult : two sets A and B are equa...

Q: 3. f (t) = 2t – So sin(t – T)f (T) dr (Ditto) - 4. f (t) = e' – Si elt-r) f (7) dr

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Q: , c(0)= 2, c(-2) +C(2)= 3, c(0) + 3c(-2)/2=

A: The complete solution is in below

Q: Truth values 1 If Pis false, Q is false, Ris true, and Sis true, determine the truth value of the fo...

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Q: 3. Which of the following is logically equivalent to [(-p V q)^(¬p Vq) ^(-p Vr)]→[(p V q)A(¬p vq) ^(...

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Q: 8 -6 2 Compute each matrix sum or product if it is defined. If an expression is undefined, explain w...

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Q: Show that (0, 0) is an unstable critical point for the following system: 2xy + x3, 1 -x2 + y°. de dy...

A: We will find Jacobian matrix  for system of differential equation Then depend on eigen values of Jac...

Q: Express these functions either in terms of a cosine term only and as a sine term only or expand to e...

A: Note:-  cosA-B =cos A cos B - sin A sin BsinA+B =sin A cos B + cos A sin B   Part (1):- Given that y...

Q: 1. y = xcsc + V1 – a?

A: As per our guidelines we are supposed to answer only one question you can repost other questions in ...

Q: 6r° – 7x lim 3x² – x А. 2 В. 3 С. 5 D. 6 Е. 7

A: We have to determine the limit of the function fx=6x5-7x3x2-x when x tends to 0. We will use the pro...

Q: (-9 -5 12 11' -3 1 5 B = -5 Given matrix A = -4 7 3 -7 -2 2 -9, For the following, use fractions (do...

A: We are given A=[-95-512-35106-40-53-7-22], B=[1157-9] to solve AX=B by doing LU decomposition of A

Q: 5. = 2y – 1 dx Solution: = = 2y – 1 (Multiply both sides by dx) = dy = (2y– 1)dx (Divide both sides ...

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Q: Simplify the expression: (6f + 4)(2) = %3D Submit

A: (6f+4)(2)

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: The given series is (2-4), 3-5, 4-6, ...

Q: Let A = {a} and B = {{a}}. Prove that in general A + B. Thus, the presence of curly brackets is cruc...

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Q: Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue, ...

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Q: A cylinder is inscribed in a cube. If the volume of the cylinder is 16 t, what is the volume of the ...

A: Given the volume of cylinder inscribed inside the cube is 16π.

Q: 1 3. I. If 3+4 = 243, then r= II. If 2"-b = 1024, then r -2.

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Q: Find the complete solution of the differential equation (D- a)°y = a*, where a and b are positive in...

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Q: EX- Veridy. Eubinis. thearem.by.Evaluating.S.xy da. where.D.is. the...regia.n.baunded.by..y=x-I and ...

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Q: (4b) Let n E Z. Prove that if n is even, then n² + n + 2 is even.

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Q: Prove that if ACØ then A = (Ø.

A: To prove the given statement. 

Q: as instructed, to find a second solution y,(x).

A: Given, the differential equation                x2y''-5xy'+9y=0;        y1=x3     

Q: (4a) Let n E Z. Prove that if n is even, then -5n – 3 is odd.

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Q: 1. Part of a security fence is built 2.5 m from a cylindrical storage tank whose diameter is 11.2 m....

A: As per our guidelines, we can solve only one question at a time. Rest can be reposted..

Q: Parabolas with vertex on the y-axis, with axis parallel to the x-axis, and with distance from focus ...

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Q: W-Mart, a discount store chain, is to build a new store in Alabama. The parcel of land the company h...

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Q: y = 2 sin x the same as the graph of y = sin 2

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Q: Jse the Bisēčtión Method to find the first root of f(x) = -12 – 21x + 18x² -12 - 21a + 18x2 - 2.75³....

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Q: (Note: Round all answers to the nearest hundredths if necessary.) 9z - 36z – 16y-64y+116= 0 1) stand...

A: given equation 9x2-36x-16y2-64y+116=0 claim-  1) standard equation 2) center 3) vertices , axis