-1 Write X = as a product X = E¡E2E3 of elementary matrices. E1 = E2 = E3 =

Q: (a) Construct the truth table for the following statement. Ensure that you explain the steps taken. ...

A: We are entitled to solve one question at a time. As the question number is not mentioned so we are d...

Q: Let f(x, y) = sqrt{ x^2 + y^2 - 4} + ln(64 - x^2- y^2). a. Find the domain of this function. b. Give...

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Q: A tank contains 60 kg of salt and 2000 L of water. A solution of a concentration 0.015 kg of salt pe...

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Q: A 500 gal capacity tank initially contains 200 gal of water and 5 lbs of salt per gallon. To reduce ...

A: Given  A 500 capacity tank initially contain v = 200 gal of water and 5 lb. of salt per gallon  To r...

Q: For certain values of the parameters a and b, the fixed point iteration b. Pn = a p-1+ 8 Pn-1 %3D - ...

A: Given: Let us consider the fixed point iteration, pn=a pn-12+bpn-1-8 converges quadratically to the ...

Q: The speed that a vehicle was traveling, s, in miles per hour, when the brakes were first applied, ca...

A: Here asked for a,b,c,d part.but here only one question (a) given.so I solve question (a).

Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

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Q: Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. ...

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Q: Points A, B and C are defined by position vectors 2i – j – 4k, –i +j+2k and i – 3j– 2k respectively....

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Q: Solve the given differential equation. *- 18 y %3D O y (6x22 - C) Oy 6x2+ C O y= 6x + x2+ C Oy 36x +...

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Q: 26. f(x) = 3 cos x = 2 cos x + 3 sin x, g(x) 2 sin x

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Q: dx • A population is modeled by the equation dt ka (a – x), %3D where a and k are positive constants...

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Q: onsider the following Gauss-Jordan reduction: 1 4. 0. 1. 4. 0 0 -24 0 0 10 0 1 0 0 1 00 1 00 1 A E,A...

A: The solution is given as  

Q: The function f(x) = tanx- has O A.Geriod 2 and asymptote at x = ". 277 B. period and asymptote at x=...

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Q: L[sin bd]- show that

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Q: (Ъ) (1 4) 2) (1 3)(1

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Q: A tent has the shape of a regular pentagonal pyramid. The measure of one side of the pentagonal base...

A: Volume of a pentagonal pyramid = (5/6) abh Where, a is the apothem length of the pentagonal pyramid...

Q: If both p and p^2 +8 are prime numbers then show that p^3+4 is also prime number

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Q: Express the given function using unit step function: 0st4 A.) f (t) = t – t u (t – 4) – 2u (t – 4) B...

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Q: Perform the indicated operations. Simplify the answer when possible. 4/8 +2/18 -5-/32

A: The given expression is                                     48+218-532 We have to simplify the given...

Q: Determine whether the pairs of functions in Problems 20 through 26 are linearly independent or linea...

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Q: SENSITIVITY ANALYSIS A tailor has the following materials available: 18 sqm cotton, 20 sqm silk, 5 s...

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Q: write 3 fractions greater than half, but less than one.

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Q: Determine the real root of f(x) = x³ – 9x + 1 using false position method. Use 2 and 3 as a and b, r...

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Q: Find e^z in the for u + iv if z = 11πi/2. (use 3 decimals)

A: Given z=i11π2 We have to find ez in the form u+iv

Q: A parallelogram has verticies of (0,0) (0,6) (4,4) (4, -2). Which transformation maps the parallelog...

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Q: 1 -1 -1 1 -1] Let A -1 -1 1 1 1 Find a non-zero vector x in the null space of A. -1 -1 -1 -1 X =

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Q: 3. (D² + 4)y = Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} {f}T • 8(s² +4) 3e-3s 1le-3s s2 (s2 +4) s(s...

A: We know that  i) L {y} = Y(s) ii) L {y'} = sY(s) - y(0)  iii) L {y"} = s² Y(s) - sy(0) - y'(0) iv) L...

Q: LAPLACE TRANSFORM OF DERIVATIVES Evaluate the following. Box your final answer in simplified form. 1...

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Q: f(t) = Ve4t + e4t cos 8t

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Q: Question 5) Given: sin(z) = -i and x + y = -5.59004, choose |z| from the following: a. |z| = 0.692 b...

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Q: Use the principle of inclusion-exclusion to determine the number of arrangements of length n, n > 3,...

A: Explanation use the principle of inclusion -exclusion to determine the number of arrangement of leng...

Q: Design company assembles cabinets and drawers. They earn a profit of 1400 pesos in each cabinet and ...

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Q: Determine whether the number is rational or irrational. 1 Is rational or irrational? O Irrational O ...

A: Rational number

Q: (a) True or False, If A and B are (2 x 2) matrices, then det(A + B) = det(A) + det (B) Justify your ...

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Q: Anjali completely filled the container shown below with 616 small cubes that inch long. 2 were each ...

A: Here the prism in the figure is said to be completely filled by 616 cubes of 0.5 inch . So the volum...

Q: Find the area of the composite figure below. 4 cm 3 cm 9 cm 5 cm Previous 4]

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Q: Divide and simplify. V18 V18 (Simplify your answer. Type an exact answer, using radicals as needed.)...

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Q: Determine whether the number is rational or irrational. V10 ... The number is because it be expresse...

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Q: A population P obeys the logistic model. It satisfies the equation dP dt 5 P(9 P) for P> 0. 900 9 (...

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Q: The following offsets were taken from a chain line to an irregular boundary line at a interval of 10...

A: Mathematical methods used to solve equations or evaluate integrals or solve differential equations c...

Q: Let {fn}n=1 and {gn}n=1 converges uniformly on E. Prove that {fr – In}=1 converge uniformly on E.

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Q: Direction: Construct the truth table of the following and determine if it is tautology, contradictio...

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Q: Б) у —у +Зу — 5у%3D—-бе-t У () %3 1, у (0) %3D2, у' (0) %3D— 4

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Q: 7. Length of x-interval. In most cases the solution of an initial value problem (1) exists in anx-in...

A: Given that y'=2y2, y1=1

Q: 12. y" + 6y + 13y 0; y =e-3 cos 2x, yz = e-3 sin 2x; y(0) = 2, y'(0) =0 %3D %3D

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Q: be the operation on Z defined by a*b = a+b for all a,beZ. Justify the following questions. 4 Let (1)...

A: Here * be the operation on ℤ defined by a*b=a+b4 for all a, b∈ℤ. We have to justify the followings: ...

Q: Fill in the blank with the appropriate word, phrase, or symbol. A real number that cannot be written...

A: A real number that cannot be written as a ratio of two integers  is known as " Irrational  Number".

Q: Which of the following is NOT true about the set 2N = { 2, 4, 6, 8, 10, . . .}?   A.) It is infinit...

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Q: Are the fOllowing statem ue of faise? Justify with a e) or a counterexample (if false). (a) For any ...

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