Find the general solution of the following linear system: y = [1-3]y 4

Q: Find the surface area for the portion of the surface f(x,y)=1-x² + y that lies above the triangular…

A: Solution :

Q: solve the system of equations

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Q: Let= A+ iB. Calculate 1) the real and imaginary parts of (2-B)(A/C), real , imag =

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Q: Consider the incomplete binary operation on the set (a, b, c) below: abc a a bb cbc Which one of the…

A: To have commutative property We need to verify ab =ba for all a, b belongs to the set. In option…

Q: b) How many different arrangement of the letter in the words PNEUMOCOCCAL can be formed if i) ii)…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: (b) With the help of Sandwich theorem (or Squeeze theorem), show that lim (2 √√x - 1)" = x² for x ≥…

A: By using Sandwich theorem,  we have to show that ;   limn→∞2xn-1n = x2  for x≥1

Q: For the following graph: (A) Find the adjacency matrix representation of the graph. (B) Find the…

A: Given-  To find- For the following graph- Find the adjacency matrix representation of the graph.…

Q: Now, let's find the future value of the annuity. Recall that the future value FV of an account after…

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Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest…

A: The main objective is to find the periodic payments on the given loan.

Q: 14. Find the double integral RV10-22-²dA by changing it to polar coordinates, where R is the region…

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Q: List the elements of the set. The set of all outcomes of tossing a pair of distinguishable coins or…

A: (a) Second option is correct. (b) Third option is correct.

Q: ZA = 113°, a = 31, b = 16. LB = LC = c = Submit Question degrees degrees

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Q: Use U₁, j = [U₁+1,j + Uj, j+1 + U₁-1,j + Uj,j-1] and Gauss-Seidel iteration to approximate the…

A: Given :              ui ,j =14ui+1 +ui,j+1 + ui-1,j+ui ,j-1h=14u0,0=0 , 0u0 ,y=0     ,  u1 ,y…

Q: h (t) = sinh 3t u (t), x (t) = cosh (3t) u (t)?

A: Sol:-

Q: The matrix has two distinct real eigenvalues if and only if k < -4 -2

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Q: I. Students are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the…

A: Note: We are entitled to solve only one question at a time and up-to 3 subparts only. As the…

Q: Suppose f(x) = N₁ (h) + a₂h + a₂h³ + ... The value of N₂(h) using Richardson's extrapolation is: O O…

A: Replacing the h by h/2 and deduce the formula

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

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Q: 1- Given a single observation x(0) from a uniform distribution [0,1/0], it is desired to estimated…

A: Here we have given that a single observation x0 form a uniform distribution U0,1θ. Since, U0,1θ is a…

Q: Draw a direction field for the differential equation y' = -y(2-y). Based on the direction field,…

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Q: Use the given information to find the indicated probability. An B = Ø, P(A) = 0.7, P(A U B) = 0.9.…

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Q: Write the following in first order logic: a. "Everyone loves math" b. An integer is not prime if an…

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Q: Use the definition of the Laplace transform to find L(f(t)). (Enter your answer in terms of s.) 0,…

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Q: Let e(x) = 1- 4t + 3t² € E₂. Consider the following ordered bases for E₂ B = {1, t, t²} and B' =…

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Q: Find the volume of the region bounded above by the sphere r = 2a cos0, and below by the cone = a…

A: Given :             r =2a cosθϕ=α0 &lt; α &lt;π2  To Find : Volume of the bounded region

Q: Solve the initial value problem Ut + 2ux -3u, u(x,0) = 1/(1+x²), == x € R, t > 0 TER

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Q: 25. f(x)=2x, 0<x<2

A: 25 Given function is fx=2−x, 0&lt;x&lt;2. We have to find the even and odd extensions of the given…

Q: A tank of water is 15 feet long and has a cross section in the shape of an equilateral triangle with…

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Q: Rewrite the following initial value problems for a non homogeneous 4th order differential equations…

A: Introduction: The highest order of differentiation reveals a differential equation's order. A system…

Q: ) Find fF.dS, where F(x, y, z) = xi + yj + zk and S is the outwardly oriented surface shown in…

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Q: Even and Odd Extensions. In each of Problems 23 through 28, a function f is given on an interval of…

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Q: Determine whether the vector u belongs to the null space of the matrix A. Solve it on scratch. 1.

A: Here u belongs to Null(A) if and only if Au=0.

Q: dt (te-¹u (t))?

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Q: Is the answer in #1 and #3 not in matrix form? how so?

A: Remember : eB represents coordinate matrix of e with respect to basis B. Which means if we consider…

Q: 8) Using the Green's theorem area formula, the area of the region enclosed by the ellipse += 1 is:…

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Q: Given the two side lengths (b and c) and one interior angle (a) between these two sides of the below…

A: Give that α=130.2080gb=280.50 m±20 cmc=170.40 m±15 cm We know that…

Q: Find f(0) and then find the equation of the given linear function. f(0) = f(x) = X 12 3 4 f(x) 8 12…

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Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are x-{\ and s-a y(t) = (sa)² + b²…

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Q: Question Define Q as the region bounded by the functions u(y) = 1 = 2y and v(y) = y² + 1 between…

A: Hint: Here the given curves are u(y)-1-2y and v(y)=y2+1 and the line of revolution is x=1. Use the…

Q: Present a second order differential equation. Identify the corresponding auxiliary equation.…

A: Consider the second order differential equation : y''+5y'+6y=0.

Q: The following table shows the results of a survey of 500 authors by a publishing company. Total 160…

A: Consider the given table. We have to compute the relative frequency of the given event of  a…

Q: 2. (a) Let J= [28]. Show that there is no matrix X such that X² = J but that there are infinitely…

A: Matrix properties are used

Q: 6. a. Is A true or false? BAC = True AV ¬(DE)= True (¬B V ¬D) = True b. Is B true or false? A → B AV…

A: 6.a) Hint: If A∨B is true then either A or B is true. If A∧B is true then both A, B are true.

Q: Given the vector field F(x,y,z) = [x, y, -2z] satisfies div(F) = 0. Find a vector field G(x,y,z)…

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Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare…

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Q: Complete the given relative frequency distribution and compute the stated relative frequencies.…

A: Here we need to find missing relative frequency in the given table. We can use the fact that sum of…

Q: Is the system consistent? select Solution: (#1, #2, #3) = Help: To enter a matrix use [[ ].[ ]]. For…

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: Fourier Sine and Cosine Series. In each of Problems 29 through 36: (a) Find the required Fourier…

A: (a) Consider the given function, fx=10&lt;x&lt;101&lt;x&lt;2 cosine series, period 4 here we need to…

Q: What percentage of established authors are successful? (Round your answer to two decimal places.) %…

A: Answers are 25 % and 80% respectively.