5. Write down a generating function such that the coefficient of z" is the number of compositions of n into three parts where the first part must be even, the second part must be odd, and the third part must be a a multiple of 7. Check your answer forn-5, n- 11, and n- 14.

Q: Who would you algebraically find the two equations for this radical function?

A: The standard form of a the given radical function can be written as follows:  

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Q: Suppose V is a subspace of R" and suppose {v1, v2, v3} is a basis of V. Decide if the following sets...

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Q: Use this theorem to solve the following congruences: x1 = 13 mod 35

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Q: Which of the following is equivalent to the propositional form -(E=¬P)v¬Q if we apply De Morgan's La...

A: De Morgan's Law:                                           ¬A∧B⇔¬A∨¬Band¬A∨B⇔¬A∧¬B

Q: Consider the function f(t) = 21² – 3t + 7 on the interval –1 < t < 1 with periodicity P = 2 Give a F...

A: To determine the Fourier series of the below function that is defined on the interval −1≤t≤1 with th...

Q: If y" – 2y + 6y = sin(3t), y (0) = 2, y (0) = 3 %3| then find Y (s) = L {y(t)}. O Y (s) = -20+0)(6*+...

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Q: Locate the saddle points, if any f (x, y) = x² + xy – 2y – 2x +1 - A. Saddle point at (1, 2) B. Sadd...

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Q: Given that you have two consecutive prime numbers the Fibonacci sequence, could the next number be a...

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Q: b) Find the solutions of the following homogenous linear equations with the use of equation 4.1.2 D ...

A: 1) D3-6D2+5Dy=0We will simplify the auxiliary equation and find the roots.

Q: Solve the given initial-value problem. y" + 4y = 0, y(0) = 7, y'(0) = -4 y(x) =

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Q: PROBLEM 2 :) Give a formal proof of q ^ (p ^ x) F p. Use only the inference rules IR01-IR12.

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Q: 3. Suppose rectangular banners come in eight different colors and triangular banners come in five di...

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Q: A newspaper editor starts a retirement savings plan in which $175 per month is deposited at the begi...

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Q: (a) Compute and simplify S(x) (the Fourier series of f). (b) Simplify the expression of S(T). (It wi...

A: As per the guidelines, first three sub parts only need to be answered when multiple sub parts posted...

Q: Determine the inverse of the function . f (x) = 3x / 2x - 5

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Q: Answer 3 only

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Q: 5. simple limit of positive definite function is also positive definite function. p(x) = lim ,(x)

A: Solution :-

Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your v?

A: Solution

Q: a. Show that the null-space N(A) is a convex set. Is it true for every A?

A: As both questions are of different type,we shall solve first Que only. For other questions kindly po...

Q: ++y = 1- u (t– n); y (0) =1, y(0)' = -1

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Q: I Find the differential equation of the family of plane curves described, Dran at least three member...

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Q: There is a channel into the fjord and the model will describe the water speed in and out of the fjor...

A: Given: η1=ηM2sinωM2t   ---------(1) dη2dt=-ACUCA2     ---------(2) dUCdt=gη2-η1LC    ---------(3) No...

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Q: Knowing that 198 is not a term in the Fibonacci Sequence, what Fibonacci term (number) is the closes...

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Q: -- Given the matrix a А — -5 4 a 7 a find all values of a that make |A = 0. Give your answer as a co...

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Q: sin(2 – 3i) cos(3 – 2i)

A: Sin(2-3i)= 9.15449915 + 4.16890696 i And cos(3-2i)= -3.7245455 + 0.51182257 i

Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

A: We have to find the first derivative of given function.

Q: let A. 2. . find A"

A: We have, A=1201To find An we will calculate A1,A2,A3,... and observe the pattern.

Q: Using Fixed-Point Iteration with an initial value of 0, find a value of the root with a relative app...

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Q: Homework 1. Simplify the following expressions: a) 2 ln ve b) In(e-x²-y²) c) In(In e*)

A: a Given expression is 2lne. We have to simplify the given expression. 2lne=2lne12=2×12lne  Use prope...

Q: In this problem, verify that the given functions y1 and y2 satisfy the corresponding homogeneous equ...

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Q: 8) Use strip diagrams to help answer the question. A media company sells 3 times as many newspapers ...

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: Using Fixed-Point Iteration with an initial value of 4, HOW MANY NUMBER OF ITERATIONS are needed to ...

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Q: Given set A = {1, 3, 4, 5, 7} and set B = {2, 6, 8, 10}. Find the sum of the cardinality of both set...

A: Cardinality of a set: Cardinality is the measure of set's size, i.e. number of elements of the set. ...

Q: Use Newton Raphson method to approximate the root of the function: f(x)= x³ - 2x -3 at xo = 1 What i...

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Q: B. (2x + 7)2 33 Audio Recording Directions

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Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilater...

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Q: 4 3 1 4 Let A = and B = What value(s) of k, if any, will make AB = BA? -3 1 -4 k Select the correct ...

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Q: given that y = 1 eries with h = 0.

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Q: Determine the value of the following: a. F15 + F10 b. (F7+F8+...+F16)/11= Fn , what is n? c. F35

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Q: Set up a definite integral to find the volume of the following solids using the method of slicing (c...

A: Given the cylinder has water with a depth of 3 feet, a length of 12 feet and a diameter of 8 feet. S...

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Given: Two statements: 1st: y=C1ex+C2sinx+C3cosx is an implicit solution. 2nd: y=Cex2+xy is an examp...

Q: There are 2 steps to get the answer. THIS IS NOT A GRADED QUESTION.

A: to prove that sinx·cosxtanx=cos2x start with left hand side   sinx·cosxtanx=sinx·cosxsinxcosx

Q: Solve (x² + 4)y' = 2xy In|x] = In(y? + 4) +C O Option 1 Inlyl = In(x² + 4) +C

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Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

A: