Factorize the following expression: 108? − 36 + 7?3 − 59?2

Q: If X₁ and X₂ are the eigenvalues of A A 30 B 16 C20 D 36 3-1 then X²+ X2 =

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Q: Find all solutions of the following equationsa a)z/1-z=1-5i   b) (2-i)z+8z^2=0.  c)z^4-16=0

A: a). z1-z = 1 - 5i⇒ z = (1-5i)(1-z)⇒ z = 1 - z - 5i + 5iz⇒ (2 - 5i)z = 1-5i⇒ z = 1-5i2-5i

Q: Solve using complex analysis: 1²t Jo 5-4cos(0) 2 cos(30) -do

A: Given: ∫02πcos3θ5-4cosθdθ. We have to solve using complex analysis.

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A: Solution :-given that : a = 50we can see that in the graph 5 unit = 50…

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Q: Find a redundant column vector of the given matrix A, and write it as a linear combination of…

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Q: Let y be defined implicitly by the equation In(4y) = 5xy. Use implicit differentiation to find the…

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A: Given, x y 0 160 5 163.75 10 175 15 193.75 20 220 25 253.75 30 295 35 343.75…

Q: n=0 1 3η + 2’ (f) Σ(-1)n+1|sinn| n4

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Q: Evaluate the surface integral. y² ds, S is the part of the sphere x² + y² + 2² = 1 that lies above…

A: To Evaluate the surface integral. ∬Sy2 dS, S is the part of the sphere x2+y2+z2=1 that lies above…

Q: 5. Let u = A 2√10 B 3 C√6 D 2√2 H and v= 2 La Find the distance between u and v.

A: Given vectors are u = 1-11 , v = 20-1

Q: es aw 11 Word Problem 7-37 (Algo) [LU 7-1 (3)] A local Barnes and Noble paid a $80.40 net price for…

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Q: Question 1 Consider the population of history scores for a class comprising 5 students A, B, C, D…

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Q: write an equivalent first-order differential equation and initial condition for y.

A: An equivalent first-order differential equation and initial condition for y. y=ln x+∫xet2+(y(t))2 dt

Q: The following table shows the number of U.S. dollars required to buy one Mexican peso and the number…

A: On March 1 2013, 1 Mexican Peso = 0.07838 US Dollars. So, 400 Mexican Peso = 400 * 0.07838 = 31.35…

Q: Windies Cricket manufactures Windies supporter jerseys. The quantity q, of these jerseys demanded…

A: a)  The demand equation is: P = - 0.006q+15 The weekly revenue is: R=PqR= (- 0.006q+15)qR…

Q: Consider the matrix (a) (b) (c) Find the eigenvalues of A. [201] A = 0 1 0 [102] Find a basis for…

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Q: . If X₁ and λ₂ are the eigenvalues of A = = [ A 30 B 16 C 20 D 36 3 -1 3 " then X₁ + X² =

A: Given matrix is A = 3-1-13

Q: Discrete Math Proof by cases Simply state if this statement is true if it's true. If this statement…

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Q: Use graphical methods to solve this linear programming problem. Maximize subject to: OA. The maximum…

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Q: Evaluate: T 2 arctan(sin x) Х sin x dx

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Q: [3] Show if the function Ae-2bx²; is an eigenfunction of the operator Ô d² dx²

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Q: Let A € Mnxn (R) be invertible. Show that QR-decomposition of A is unique up to changing signs of…

A: Given: A∈Mm×n is invertible.To show: The QR-decomposition of A is unique up to changing signs of…

Q: Write an equivalent double integral with the order of integration reversed. π/2 sin x چی 0 O a. 1…

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Q: [5] Let the a; be the series of odd integers, evaluate the following: x=2a_and_y=Πα i=1 i=1

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Q: fres 5x dx

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A: f(x)=1+x (a) To find: The first four non-zero terms of the binomial series centered at 0. (b) To…

Q: 6. Let 2 be a set and f, g: → R. Assume max{f(x) + g(x) | x = }, max{f(x) |x€N}, and max{g(x) | x =…

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Q: Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special…

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Q: d. sec`2.xtan 2.xdx

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Q: Given: g(x) = = -1 e + tan-¹x [1-x] +3* 3x²+4 3x-x2 if x < 0 if 0 ≤ x < 2 if x ≥ 2. 3. Redefine g so…

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Q: Solve the problem. Let A = 1-3 2 -2 5-1 and b and 3-6-3 b = b1 b₂ b3 Determine if the equation Ax =…

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Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship…

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Q: Solve the problem. Describe all solutions of Ax = b, where 2-5 3 -2 6-5 and b = 4 7 0, -[C].…

A: Given: A=2-53-26-5-470 and b=-38-9. To Do: Describe the general solution in parametric vector form.

Q: A box with a lid has a length two times its width and a volume of 1000 cubic cm. If the minimum…

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Q: Compute the determinant of the matrix by cofactor expansion. 2 14 14) 4 1 4 251 *Please show all of…

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Q: A committee of 4 people is to be chosen from a group of 8 men and 7 women. How many different…

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Q: Find and sketch the domain for the following function: g(x, y) = x-y

A: The given function gx, y=4-x2-4y2x-y. We have to find its domain and sketch its graph.

Q: Describe a "real world" situation that can be described by this function? What is the domain and…

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Q: A polygon has vertices (-4,8), (4,8), (4,1), (9,1), (12,-7), and (-4,-7). Graph the polygon on the…

A: The polygon has vertices (-4,8), (4,8), (4,1), (9,1), (12,-7) and (-4,-7). The required polynomial…

Q: If T(x, y, z) gives the temperature in °C at a point (x, y, z), measured in feet from the center of…

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Q: Show that for any λ E F and any positive integers 1 ≤ d <≤m, there exists a linear operator T: V → V…

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Q: 5) For the function f(x, y) = x ln(x y²) and g(x, y) = √√x² + y2, answer the following: a. For f(x,…

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Q: 7. Given the function y = f(x) shown graphed below, if g(x)=--(x), then create a sketch of g (x) on…

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Q: Find the general solution. Otherwise state that there is no solution. *Please show all work. 10 6 2…

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Q: Select the correct statements from below for a linear system of equations Ax = b. The determinant of…

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Q: Direction: Find the particular solution of differential equation and use typewritten.…

A: The given differential equation is: x3+xy2-ydx+y3+x2y+xdy=0. We have to find the particular solution…

Q: [2] Find the product for: 1 0 1 0 2 1 1 0 2 0201 1 0 1 0 ||

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Q: Given any convex quadrilateral (works with concave too, but you only need to prove for convex),…

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