11.3.1. Use an eigenvalue decomposition to write the system re²(t) = [4 ]u(t) equivalent diagonal system.

Q: Problem #5: (a) Find the maximum value of 5x + 7y + 32 subject to the constraints x + y + z s 56 and…

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Q: 0.5 0.4 (Jon.) = (0.1 0.8, ● Jt 0.8 Az find d,, d₂, №₁, №₂ Sketch Behavior of Solutions.

A: Given: System of the equation.  Jt+1At+1=0.50.40.10.8JtAt To Find : a) Eigenvalue and eigen vector…

Q: 2. The path taken by s = ²t² + ²/³ - ²/t² + velocity at that time? a particle is a horizontal line…

A: The path taken by a particle is a horizontal line as it moves according to the law:…

Q: Instruction: Sketch the solution curve passing through each points. You can use computer software to…

A: We can solve as follows

Q: Let f be an arithmetical function which is not identically zero. If f is multiplicative, then f(1) =…

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Q: Find the volume of the given solid. Bounded by the cylinder y2 + z2 = 16 and the planes x = 2y, x =…

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Q: Find the LU factorization of and use it to solve the system -4 -16 4 -4 A = LU = A = 1 7 -13 -4 -14…

A: The given system is ,       -4   1-2  5-16   7-13  19   4-4   11-7-4-14   43 -10x1x2x3x4=37144-4423…

Q: The matrix A 0 4 0 0 -4 -8 has two real eigenvalues, one of multiplicity 1 and one of multiplicity…

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Q: 16. Calculate m+1 m=2 n=m-1 mn. 17. Calculate ₁²m (n-2m). m=1 n=m

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Q: If ab is algebraic over F and b≠ 0, prove that a is algebraic over F(b).

A: It is given that ab is algebraic over F. then there is a minimal polynomial for ab over F. Let gx be…

Q: Danica and Darrelle have developed a lucrative business selling handmade silver bracelets. Darrelle…

A: Slope intercept form:-  y=mx +b Here, m is the slope.   Given information Darrelle takes 4 hours to…

Q: Substitute y=ex into the given DE to determine all values of the constant r for which y=erx is er…

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Q: Determine whether the given first-order differential equation is linear in the indicated dependent…

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Q: Write a formula which describes all fractions which kiss 7/11?

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Q: Dillon purchased tickets to an air show for 4 adults and 2 children. The total cost was $86. The…

A: Here given in the problem  Total Cost of Air show =$86 Let the cost of the Child's ticket = $ x Cost…

Q: 데 2 This is a Matrix multiplication of C with the transpose of C Given C = find CCT.

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Q: = 0 has solutions that generate a vector subspace V. The system of equations Ax i. Solve the system,…

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Q: The bartender is totally amazing (must have studied physics). She slides your beer with an initial…

A: Initial velocity = 11.188ft/s d = 120.079 inches 1 Feet =12 inches 1 Inch = 2.54cm Notations Used :-…

Q: 1. e²y cos x - y cos x - e' sin 2xy = 0 2 2. y lnx=(+¹)²

A: The given differential equation are , 1. e2ycosx-ycosx - eysin2xdxdy = 0 2.  ylnxdxdy=y+1x2 The…

Q: write the equation as two ordinary differentials for the two variables

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Enter your answers in the text boxes. If y = g(x) solves the initial value problem (IVP) Sy' = 4x +…

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Q: Solve for Solve for x:= 0 0 ≥0

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Q: which is true about this graph? A) MVT applies to the function f on the interval [-1.5, -0.5] B) MVT…

A: We have to check whether f is differentiable at x=-1,0,1 or not.…

Q: Show that the norms 11·11 and 111:111 art =cquivalent if and only if sup{||||||:|1x|| = I} CAD and…

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Q: 6. A classic unsolved problem in number theory asks if there are infinitely many pairs of "twin…

A: ANSWER 6: To show that the only prime triple is 3,5,7, we use the fact that the only number that is…

Q: 2. The path taken by a particle is a horizontal line as it moves according to the law = = ² ² ² +…

A: The path of the particle is defined as a function of time as s=16t4+56t3-172t2+12t+1Find derivative…

Q: Suppose that F is a field of order 1024 and F* = <a>. List the elementsof each subfield of F.

A: It can be observed that F=210, so it can be seen that F≈GF210. Using the theorem " For each divisor…

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: Consider the following Gauss-Jordan reduction: Find E₁ = 0 0 -9 0 1 0 1 B₂ = 1 0 *-*-*-*-* 0 1 0 06-…

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Q: to the following: • Why might one prefer to use the logarithmi differentiation for finding…

A: To Explain: why we prefer to use logarithm for finding differentiation of functions that have…

Q: 8 9 11 12

A: matrix A is in dimensions 2*3 Matrix B is in dimensions 3*2 So multiplication of A and B= [AB] [AB]…

Q: The price of a condominium is $152,000. The bank requires a 5% down payment and one point at the…

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Q: Min 2= 2x, t SX ₂. subject to: 2x1 + x₂4 25 2x,. 420 - X₁ + 10x₂ ≥20 5X₁ + 3x₂ > 15 X₂ ≤ 15 X₁20 x…

A: To Solve: The following optimization problem: Min z=2x1+5x2. Sub to…

Q: Find the Fan Cost Index for the New York Giants.  Team    Ticket    Soft Drink    Other Drink    Hot…

A: Answer)  Given that: Tickets $123.40 Soft Drinks $3.00 Other Drink $9.50 Hot Dog $6.00…

Q: 9 2. Fahrenheit and Celsius temperatures are related by the following equation: C = § (F – 32). If…

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Q: Consider the DE: tant (y")6 + 7e²t (y")10 - 2ty' = 87t² +6t³+1 + a) Its order is b) Its degree is (y…

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Q: Determine the units in Z[i].

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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: 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: Q2 Consider the DE ď¹²y = √ (4+dy) 5 dx (i) Order of this DE is_ (ii) Degree, (iii) Is this DE…

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Q: First solve the equation f(x) = 0 to find the critical points of the given autonomous differential…

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Q: Suppose the first row of a 4x4 matrix B is not a multiple of the second row and the third row is…

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Q: Evaluate the expression. 11) log41 97.52 A) 1.9891 Solve the problem 500e0.16t B) 0.8108 B) k =…

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Q: If the Accumulated Value of an investment at time t is AV₁ = 1.2+.1t², what is & when t=2? A. .05 B.…

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Q: If u = x²/(x² + y²), find ou/ox, du/dy.

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

Q: The NBA had a Fan Cost Index of $408.21 in 2017 and it was $389.10 in 2016. What was the percent of…

A: Solution :  Given that  The NBA had a Fan Cost Index of $408.21 in 2017 and it was $389.10 in 2016

Q: Without using the 2 . Odd Test, prove that there is no simple groupof order 210.

A: In this question, we have to show that there is no simple group of order 210.

Q: The system of equations Ax = 0 has solutions that generate a vector subspace V. i. Solve the system,…

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Q: a) Find the area of the region described. The region outside cardioid r= 2-2 cos B and inside circle…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Assume that the following row operations R₁ + R₂ R₂ +2R₁ R₂ R₁+R₂ R₁ +5R₂ → R₂ are used in an…

A: The reduced Augmented Matrix is:                                         100010|-11/72/7 The…