How many different patchwork quilts, four patches long and three patches wide, can be made from five red and seven blue squares, assuming that the quilts cannot be turned over?

Q: 4. Show that the sequence {fn}, where nx fn(x)=- xER 1+n°x' is point-wise convergent but is not unif...

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Q: 7. Find all points of intersection of the r= 3sine polar curves: such that r= 1+sine

A: We equate the two equation to find solutions.

Q: I. For z = 3 – j5 and z2 = -2 +, find the rectangular form of the following: a. z1 + z2 b. Z1 – -- c...

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Q: 4 1 -3] 4 9. 7 2 1 -1 -5 3. hts) Let A = B = Let C = -2 8 -7 0 2 -1 -1 9. 3 Compute all of the follo...

A: Since you have asked a question with multiple subparts, we will solve the first three subpart for yo...

Q: Expand the function in a power series E a,x" with center c = 0. Find a„x". 9+8x n=0 (Express numbers...

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Q: C) 7D=>7E FV 7D

A: Use rule of inference prove that1.  E                           2.  ¬D => ¬ E             3. F v ...

Q: 6. Factor fully f (x) = 12x* +17x - 70x² – 33x+18

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Q: Compute the Fourier series of f(t) = sin°(t).

A: Fourier Series: Any 2π continuous periodic function can be approximated by trigonometric polynomials...

Q: a) A function is given by f(x) = 5x³ -6x² +x -e*. Find the slope of the tangent line to this curve a...

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Q: ors of the matrix Cal

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Q: Use the sequential runoff method to determine the winner if a majority cannot be determined. Votes 3...

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Q: A delivery company requires that any box delivered must have a length plus girth (distance around) t...

A: Solution :-

Q: dy (b). 3x+2y y(-1) = –1. , dx 3x+2y+2 '

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Q: Solve for x: 1. x:3 = 8:12 2. 2:x = 10:25 3. 3:4 = 6:x 4. 3:5 = x:25 5. (x+2):4 = 15:20

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Q: 3. Find an integral for the exact length of the curve: x = t + cost, y =t - sint, 0st<3n You do not ...

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Q: 1. Let (e1, ... , en) be a basis for a vector space V. Show that (ei + en, e2 + en, ... , en-1 + en,...

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Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(x) d...

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Q: 6. The vertices of AABC are labeled with the positive integers a, b, and c (in that order). The midp...

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Q: A17.2 Use the solution of the first problem to compute the value of the infinite series 1 1 1 1+ 24 ...

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Q: (a) Find the matrix P describing the projection from R³ onto the subspace V = span{ (b) Find the pro...

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Q: 4.) What are the negation statements of the following: a. There is an honest politician. b. All men ...

A: a. The negation is : Every politician is not honest.

Q: Can u give 10 matrix terminologies and its definition.

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Q: 2. nts) For each set of vectors, decide if the set is linearly independent or linearly dependent. Ju...

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Q: Problem 10 Given the vectors A = 4î – 2ĵ + 5k and B = find a) the magnitude of 2Ã -B at the point (...

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Q: 5.) y = x²(x – 5)²

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Q: 6. lim f(x) = +o00, lim f(x) = 0 5. lim f(x) = +oo, lim f(x) = 0 and f(-1) = 0 %3D and f(-1) = -1 7....

A: Since you have asked multiple questions here, we will solve the first one for you. To get the soluti...

Q: A company produces two types of solar panels, A and B, that sell for $5million and $4 million per th...

A: Given: The costs of producing type A and type B solar panels are $5 million and $4 million per thous...

Q: Explain in a sentence how to use a natural deduction proof to show that a  sentence of TFL is a theo...

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Q: 6. is (s-1)(s-2) If we use the convolution, the inverse Laplace of

A: Introduction: The convolution theorem is very significant in Laplace transformation. For two functio...

Q: 11) Evaluate [[sin (y') dA , R: the region bounded by y =- Vx, y=2 & x=0

A: To find- Evaluate ∬Rsiny3 dA, R: the region bounded by y = x, y = 2 &amp; x = 0. 

Q: - Error andQ- Functions 1, Use the definition of error function, prove that

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Q: 2 - Find the interval which the power series is convergent. n=1

A: We have to find the interval of convergence of the power series ∑n=1∞ xnn. We will use one of the se...

Q: 2xy dx + (y^2 + x^2) dy = 0.

A: Solution :-

Q: Solve the equation using the Laplace transform method y" + 4y' + 8y =cos 2t , y(0) = 2, y'(0) = 1

A: We have to use the Laplace transform method to solve the given differential equation with the initia...

Q: solive dk d t.bounded.bg..Xy=16..

A: 1st we will draw region bounded by given curve in  1st quadrant . and then will find limit for varia...

Q: 5) Let Re(z) and Im(z) denote respectively the real parts of z, show that:- a) z+2 = 2 Re b) z-z = 2...

A: Introduction: Complex numbers are those that are expressed as a+ib, where a,b are real numbers and I...

Q: 5. -5 -5 5 -5- -5

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Q: 1.) Show that the premises "If you send me an email message, then I will finish writing the program,...

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Q: Xị – 5x2 – 4x3 3x2 + 4x3 • X1 - for all a E R³. X2 T(7) %3D %3| -2x1 + 6x2 X3

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Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution obtaine...

A: To find the volume of the solid obtained by the revolution of the given bounded curves.      

Q: FIND THE VOLUME OF THE FOLLOWING CYLINDER: Given: Height – 7cm Bottom of the cylinder – 3cm Top of t...

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Q: A company manufactures two products. If it charges price pi for product i, it can sell qi units of p...

A: Profit=                  = (80-2p1+p2)(p1-8)+(100-3p2+p1)(p2-15)=[(81p1-2140-2(p1)2+2p1p2+137p2-3(p2...

Q: Find the general solution to the homogeneous differential equation d?y dy + 13 + 36y = 0 dt2 dt The ...

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Q: LAPLACE TAMNSFORM

A: The given function is F(s)=1s-3-16s2+9 rewrite as  F(s)=1s-3-16s2+32 use the formula  L-11s-a=eatL-1...

Q: For questions 1 and 2, find each value or measure. 13. 13. EF = 14. x = 14. 9x-1 106 (10x-23) E 41-5...

A: Note: We are entitled to solve only one question at a time. So we are doing first one only. Please p...

Q: Find the root of the following using the method indicated. Ea < 0.0001 1. f (1) = sin I +e - 2, xo =...

A: Above your question post, you have explicitly written that you want only parts (1) and (2) to be sol...

Q: • the total amount paid in loan payments after 1 year • the total amount paid in loan payments after...

A:

Q: defined by Ai

A: Given that the matrix A,A∈Mn,n (R) which is defined by Aij =1∀ij SinceAij =1∀ij , the sum 0f (n-1) c...

Q: Theorem 1: Suppose f(m, n) is a double sequence on R such that f(m, n) > 0. Then, E f(m, n) converge...

A: We will only use the basic knowledge of real-valued series to answer this question.

Q: e) In a net present value (NPV) analysis it is found that proceeding with a contract with required r...

A: Solution