Prove that the points (-2, -1), (1, 0), (4, 3), and (1, 2) are the vertices of a parallelogram. Is it a rectangle?

Q: Compute the Cholesky decomposition of the matrix 41 40 40 41 Show all the details. A =

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Q: вршио Show that a group by of ordag pq for district prime p is solvable.

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Q: 4. for Find a fundamental set of solutions, and check it is fundamental set x²y" + xy' - y = 0 x > 0

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Q: d) e) Find a basis for Ran(P) and dim (Ran(P)). Find Po P.

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Q: Find the shaded area. The shaded area is (Round to the nearest hundredth.) 26 mm

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Q: Consider the multistep method ayn-1 : (1 + a)y" — ay"−¹ + ¹ [(3 − a)ƒ" − (1 + a)ƒ"−¹] . yn+¹ = (a)…

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Q: Algebra Consider the feasible region in R³ defined by the inequalities -x1 + x₂ ≥ 1 2x1 + x2x3 ≥ −2,…

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Q: 1 (1) u(x) = x + f * u(t)dt, u(x) = x+ 24 2 (2) u(x) = ² = x + √² xtu(t)dt, u(x) = x (3) u(x) = x +…

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Q: Find the arc length from (0,8) clockwise to (7. √15) along the circle x² + y2 = 64. (Round your…

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Q: f p,q and r are three distinct primes and G is a   group of order pqr, then G is not simple.

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Q: 1. The value of a type of new technology decreases by about 40% a year. If a particular model of the…

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Q: Q2: Consider the following table: x 0.800 1.000 1.200 1.400 f(x) 1.040 1.151 1.213 1.228 a. Estimate…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: 2. Let A(2, 4,2), B(3,7,-2), and C(1,3,3). (a) Which point is closest to the y-axis? (b) Write the…

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Q: Activity 2 You are asked to analyze a mechanical system. To do the analysis, you must study the…

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Q: Find the absolute maximum and minimum of f(x, y) = 2x + 4y within the domain 2² + y² ≤ 16. 1.…

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Q: Select the option that contains the solution of the integral equation_y = 4t = 3 fő y (7) sen (t –…

A: Note- There is a misprint in question which is changed to correct one in solution.

Q: Consider the graph G below. a o G Z 04 g o (a) List all walks from X to Z of length 2. (b) Write the…

A: Dear students as per our guidelines we can solve only first three questions. Kindly resubmit…

Q: Help me find the solution of the following initial value problem: y ′′ − 4y = 0, y(0) = 1, y ′ (0)…

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Q: Are y₁ (1) = x, y₂(x) = ze² a fundamental set of solution for the equation r²y" − x(x + 2)y' + (x +…

A: Given thatand  are two solutions of DE

Q: To find the Laplace transform of e^(6t)cos(at)you would substitute  into s/(a2+s2) which gives ?…

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Q: A conditional statement is given below. Give the converse, contrapositive, and inverse of the…

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Q: اارة Does the FONC T point of x* = (ó) = [1 0]] satisfy and SONC ? Justify your answer.

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Q: where g(t) = { 0 if 0 < t < 4 if 4 < t < ∞. (s^2+4) Y(S) y" + 4y = g(t), y(0) = 0, y'(0) = 0, a.…

A: Given expression is:.Use partial fractions..

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Q: Find a general solution. y₁ = 4y1 + 3y2 + 22 y2 = -6y₁5y2 + 4e¯t

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. 3)x+ (-3²)…

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Q: (a) Write 23 as a sum of distinct powers of 2. (b) Use the fast factoring algorithm to compute 323…

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Q: Find the Lie point symmetries of the Fokker-Planck equation Ut - Uxx - xuxu= 0.

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Q: 3. Find solution of the differential equation; x x(0) = x ' (0) = = 0 and Laplace transform…

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Q: 17-20 Directions: For each of the following Conditionals find the indicated Conditional. Use given…

A: 17) [ Since, p -&gt; q =&gt; inverse ~p -&gt; ~q]

Q: Find an equation for the circle of curvature of the curve r(t) = 8t i + sin(t) j at the point (4,1).…

A: The given curve is . The point is  .Also given that .Then  At ,

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Q: Consider the initial value problem y′′+4y=g(t) ,y(0)=0, y′(0)=0 where  g(t)={t0 if 0≤t<4 , if…

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Q: Let A, B and C be three n x n invertible matrices with A² = A. Solve the following matrix equation…

A: Given ,  are three  invertible matrices with    .And    Since  are invertible matrices, exist  .

Q: The actual length time it takes to do a certain task is 25 hours, 31 minutes, and 15 seconds. Find…

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Q: Write the solution set in interval notatio 3x<15

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Q: 3. Draw at least six (6) level curves for each of the following functions, choosing a reasonable…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to…

Q: Discussing \ comparison of the maxium grelds From the two stategies = Axin (4) - 1. x¹ = RxIn 2. x'…

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Q: Question 2: Let V be a finite dimensional vector space over R, and let T: V → V be a linear map.…

A: The Rank-Nullity Theorem, also known as the Dimension Theorem or the Fundamental Theorem of Linear…