Solve the following system of equations using the Gauss – Jordan method: a + 2b – 2b = 9 2a + 3b + c = 23 3a + 2b – 4c = 11 %3D

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players ....

A: Given Total players = 20 We need to select 9 out of 20.

Q: Finde the eigeralues and Sche Iritia Value family eigenfundtiono

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Q: Sketch the curve x2 + x2y2 = a2y2, a > 0. Enumerate the steps in your solution.

A: We will find intercept , domain ,range , symmetry , asymptotes , and limiting value of the given cur...

Q: Calculate the sum of the first 1,000 natu 500,500

A: The sum of first n natural numbers is given using the formula S=nn+12 therefore here n=1000  

Q: b) Find L[e* S (-os22) dt] and -1 4s+5 * ls-1) (s+2).

A: Laplace transferom and inverse Laplace transferom, using all the properties.

Q: Select the correct answer from the drop-down menu. The graph of g(x) is the graph of f(x) = x² trans...

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Q: f Ct) 2 (3t-5) e 4t f(t) = 2Ct-4)"

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Q: 2. (a) Find (if possible) a function y(t) such that its derivative is itself. That is, find y(t) suc...

A: (a) y'(t) = y(t)       => dy/y = dt    Integrating both sides, we get,           ln y = t + ln C,...

Q: using truth tables, show that the following premises leads to tautology: (A^~C)v((BvC)v~(CvA))

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Q: It can be shown that y1 e31 and y2 d'y = xe are solutions to the differential equation dy + 9y = 0. ...

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Q: 4) A box contains 5 green, 7 yellow & 10 orange pingpong balls. How many ways can 5 balls be selecte...

A: Permutations and combinations. No.of possible way to selecte gorup of different balls.

Q: E FO Figure 1

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Q: Test for convergence the series 3 5 1 (i) 1.2·3 2.3·4 ...... 3.4.5

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Q: A Box with a Square base and an open Top must have a volume of 500 cm'. Find the dimensions of the B...

A: A box with a square base and an open top must have a volume of 500 cm. To find: The dimensions of th...

Q: The diagram shows a sketch of the curve with equation y = -r +7x 12 1 3. -2- 8 CMA Q3 Find the areor...

A: For the solution follow the next step.  

Q: 4.6-14. Consider the following problem. Maximize Z = -x, + 2x2 + X3, subject to 3x2 + X3 s 120 X - X...

A: The problem is converted to canonical form by adding slack, surplus and artificial variables as appr...

Q: 20. Wind Chill The function cruf=0.013 w--W-2 estimates 1e wind tempercture D°F for wind Speedds w f...

A: For the solution follow the next step.

Q: Prove that the cube of any integer in the form 9k or 9k + 1 or 9k + 8 .

A: Let n be some integer then by the Division Algorithm, n = 3p , 3p+1 or 3p+2 for some integer p 

Q: H.W 1- Find Po, F, A (Seasonal - hai) for the cash flow shown below: 3 x 10 IQD 700,000 IQD 300,000 ...

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Q: Numbers to Use 1 2 3 4 + 24 + 24 > 24 24 24 24 24 24 24 24

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Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14, -1...

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Q: Evaluate (100,000,000,000,000)^2 - (99,999,999,999,999)^2

A: The given expression is 100,000,000,000,0002-99,999,999,999,9992 use the formula a2-b2=a+ba-b

Q: Continuous Compound Interest. An investment of $25,000 earns interest at an annual rate of 8.4% comp...

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Q: XCt) = Ct +2)sin Ct -4) xct) = 3(t/4) e 78

A: Some of the properties of Laplace transformation Ltnf(t)=(-1)ndndtnf(t) Laf(t)=aLf(t)Lsinat=as2+a2Lc...

Q: xy = 4

A: Solution

Q: 6- find a, b and cif: w:a.tan Cx"+)- bxy + cy Ln しそ) + cy Ln LZj そー2 t-z X ニ x = zt? y =2e and z: 2t...

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Q: Sketch the given function, which is assumed to be zero outside the given interval. Find its Laplace ...

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Q: Fifty (50) kilometers of road were allotted to three contractors according to the ratio 1/2 : 1/3 : ...

A: Here the 50km is divided into three contractors in the ratio of 1/2:1/3:1/4 ie., (1/2)x + (1/3)x + (...

Q: 3. Find the surface area of the surface created when the cylinder y + 2- intersects the cylinder 1² ...

A: surface area of the surface given by equation z=f(x,y) A=∫∫Dfx2+fy2+1dA D is the region on xy plane 

Q: y y 2.0 1.5 -1.0 - 20 -10 40 20 0.5

A: The given equation is y=x2x2+147 to find the x intercept put y=0 y=x2x2+1470=x2x2+147x2=0x=0 therefo...

Q: Let în be a unit vector in a direction specified by the polar angles (0, ø). Show that the component...

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Q: 3. In (sec L-10-1ki ])

A: For the detailed solution follow the next steps.

Q: A professor conducted a survey regarding the favorite anime of the students. The following data were...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: 1. Let P (x) be the statement "x = x?." If the domain consists of the integers, give True/False acco...

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Q: Choose the correct answer to the question below: * Which of the followingis logicallyequivalent to -...

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Q: Show that the hypotheses: It is not weekend today and it is gloomy than yesterday. (¬WAG) We will go...

A: We first see that not gloomy and sunny or not sunny and glooomy are equivalent.  i.e., ~Gloomy ≡Sunn...

Q: (5) Consider the set T= {(-1)"(1-): n E Z4). (i) Show that 1 is an upper bound for T. (ii) Show that...

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Q: Solve the differential equation x²y" – 2xy + 2y = x (1+ ln x) by using a suitable transformation.

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the...

Q: Find the number of terms in the following arithmetic sequence 11, 18, 25,. 102. Hence, find the sum ...

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Q: olve each problem . Point P is located at (-9, –5)and point Q is located at (-9, –8). What are the c...

A: Given points are P = (-9, -5) and Q = (-9, -8)

Q: 3. Let A = (-1 2 and B = 2 0 I. Compute tensor products A®B and B® A: II. Compute Hadamard products ...

A: Given A =01-12 & B =1220 1. we have to compute the tensor product A⊗B & B⊗A  A⊗B = 01-12⊗ 12...

Q: Question 4. The following are logical laws shown in our lecture. Find their dual versions if exist. ...

A: We have to find dual versions of given logical laws, if they exist. Pre-requisite :  P1) Two formula...

Q: Jaden wants $25,000 in 5 years.  He can invest in a fund that earns 6% and compounds quarterly.  How...

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Q: The swimming pool can be filled with water in 10 hours using 6 hoses. How many hoses are needed if y...

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Q: Given the set C={2,4,6,8}.Consider the relations R 1 and R2 defined on C as follow: (x, y)e R; if an...

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Q: Compute the Laplace transform of the following: f(t) = t2e 3t

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Q: The equation of a plane is (X,Y,Z)= (1,0,0) + s(-1,0,-1) + t(-1,2,0),s,t ER. Determine the vector eq...

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Q: 8. Using squeeze theorem, show that the following limit (x – 1)² In x = 0. lim (x,9)→(1,0) (x – 1)² ...

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Q: x,0 <x <1 CO.2 a) Show that the function f(x) given by f(x) = }k - x,1 < x< 2 is a probability densi...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: see the attached image