Solve the system of equations in three variables using determinants. 2x+y 2z=-1 3x - 3y-z = 5 2-2y+3z=6

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Q: Determine the units in Z[i].

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Q: 9. Find the solution to the initial value problem y' = y(2x + 1) with y(0) = 2 using separable…

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Q: fruit grower can use two types of fertilizer in her orange grove, brand A or brand B. The amounts…

A: Let x bags of brand A and y bags of amount B should be added.

Q: Find the area between the perimeter of the square with vertices at (1.1), (1,-1), (-1,-1), (-1,1)…

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Q: A 5,200-feet long trench that is 6 feet deep and 6 feet wide is excavated to install a 36-inch…

A: The trench is 5200 ft long, 6 ft deep and 6 ft wide. ∴ The volume of the trench is (5200×6×6)  ft3.…

Q: 22. 15 ft 16 ft 17 ft 16 ft

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Q: Evaluate the limit. lim ||A||-0 Δ ο Σ. (x - x;) Δx, where i = 1 and Ax = - 1 n where x, = an n…

A: Given,               lim∆→0∑i=1nxi2-xi7∆x,  Where xi=1n and ∆x=1n.

Q: large church's organ is divided into two parts, one in the front and one in the back. When both…

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Q: The initial guesses for the root are assumed to be x0=3 and x1=2, for these initial values, f (x0)…

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Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

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Q: 8. For the function f(x) = 2x³-11.7x² +17.7x-5, find its roots using modified secant method. Let x =…

A: Let us solve the given Numerical Analysis problem in the next steps using modified secant method.

Q: = 4. Sketch the graph of the function y 5. Sketch the graph of the function 2, if x < 1, x - 1, 2.3…

A: Sol:- 4. Before plotting it, some information about the graph:- Domain of  2x-1+3 :  Solution:  -∞…

Q: 7.2. A consumer has a utility function u(1, 2) = max{1, 2}. What is the consumer's demand function…

A: Here Given that u(X1,X2)=Max{X1,X2} Since Utility function is such that MUx=MUy=1 and thus demand of…

Q: dy dx = 4(x²+1), x π 4. = 1

A: We have to find an explicit solution of the given initial value problem…

Q: 6. Can any of the given sets of 3-vectors below span the 3-space? Why or why not? (a) [1 2 1] [231]…

A: We have to check whether the given set of 3-vectors span the 3 space. (a) 1 2 1, 2 3 1, 3 4 2 (b) 8…

Q: Let nEN. Using integration by parts m-times m (-1)^" √ x^_d^ (e-x²) X dn = 0 dx" prove that 1 M = 0,…

A: Given: The given details in this question are Here, By using the integration by parts m-times to…

Q: B. 3y² + 2xy = 8 d TL Equation of tangent line m, NL Equation of normal line

A: Given: Curve is  3y2+2xy=8 . To Find : a)  First derivative dydx. b)  Slope of tangent . c) Equation…

Q: Suppose that W, X, Y, and Z are points with X between W and Y and Y between W and Z. Prove, using…

A: It is given that W, X, Y, and Z are four points such that X between W and Y and Y between W and Z.…

Q: Substitute y = e into the given DE to determine all values of the constant r for which y = e" is a…

A: Solution of the differential equation

Q: Find the average value of f over the given rectangle. fave 11 f(x, y) = 3x²y, R has vertices (-2,…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Enter your answers in the text boxes Consider the differential equation (DE) 3 i=1 d²iy dx2i…

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Q: a) Use differentiation to show that the given sequence -21₁+00 {ne-2 In=1 is strictly increasing or…

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Q: Note: this problem, scalars are in Z5, the field of integers modulo 5. Solve the system of equations…

A: given  let A=133141402011442 R2→R2-R1R3→R3-R1 A=1331401-31-40-213-2 R3→R3+2R2 A=1331401-31-400-55-10…

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y2 − x2 + 3 and above…

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Q: dy dx = xy + 3x - y - 3 xy - 2x + 4y - 8

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Q: Find the exact area between the graphs of f(x)=e* - 1 and g(x)= 3x -4 between x = -1 and x = 2. O…

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Q: Scott’s current grades in Algebra II are the following. Use the information to calculate Scott’s…

A: Solution: Average marks in tests = (85 + 75 + 60 + 92) /4= 312/4 = 78 Weightage for tests = 20% So,…

Q: Q2. Find the Fourier Series in Trigonometric format (sine/cosine format). f(t) = 1. -1, T 2 osts and…

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Q: B. Determine the value of x. 1. 125*-7 = 25³ 2. 10*-7= 10000*+3

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Q: 38 47 39 25

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form…

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Q: X dy dx = y + √x² - y², x > 0 2

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Q: E. Linear Equations 1. e-3x dy +³=1 2. cos xdy = -(sin x)ydx + dx

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Q: Two payments of $7,000 and $2,200 are due in 1 year and 2 years, respectively. Calculate the two…

A: Two payments of $7,000 and $2,200 are due in 1 year and 2 years, respectively. To Calculate the two…

Q: Show that A and AT have the same eigenvalues. Do they necessarily have the same eigenvectors?…

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Q: n gent

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Q: Applying the integrating factor method to the DE + y (² + ¹) = ²/1, t > 0, y'+y transforms the DE…

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Q: 3. A ball is thrown vertically downward from a height of 240 feet with a velocity of 32 ft/s. How…

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Q: Give an example to show that the mapping a -&gt; ap need not be anautomorphism for arbitrary fields…

A: Let Zpx be the field of quotients of Zpx. So, we need to show that ϕ:α→αp is not surjective and so…

Q: e some detailed solution and please do not copy other's work,thanks!! 2. Let S S CRN. Show that a(S₁…

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Q: Exercise 4 Let (fn) be a sequence of functions defined by In(2)=√(n.2n}(2). 1. Prove that (fa) is…

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Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = 0 -37-m is Cmn = e

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Q: An object of mass m moves at a constant speed v in a circular path of radius r. The force required…

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Q: Let 13 21 1 -1 -2 2 10 2 -3 1 1-1 -7 0 0-1 1 1 3, After elementary row operations, the row echelon…

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Q: Explain why the DE ax - by bx - cy dy dx = is exact. Find (a) its integral function, Ø; (b) an…

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Q: 7.5. A consumer has a direct utility function of the form U(x₁, x2) = u(x₁) + x₂. Good 1 is a…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: We are using the simple model for floating point representation which is a 14-bit format, 5 bits for…

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