Consider the differential equation f(8) – 6 f(2) + 11f(1) – 6f = 0 We transform this differential equation into a system of differential equations by setting: = 9, = h and looking for the three functions f, f(1), f(2) at once, that is, for the vector (f, g, h)t consisting of three functions. We then have three equations that have the form: df = g dx dg h

Q: y= (x-p)(x-r) and p+r=4.Find the x coordinate of the vertex of the parabola. O a. -2 O b. 4 O c.…

A:

Q: Solve the given DE x?dy - xydx-2ydx

A:

Q: Determine the first four terms of the Fourier Series for the function f(x) = x,0 <x< 2, in a half

A:

Q: A certain function f (2) is represented by the following power series: 1 1 1 f(z) =++ , 1< Iz| 23…

A:

Q: The tangent planes to the ellipsoid =1 meets %3D 62 the coordinate axes in points A, B and C. Prove…

A:

Q: Among all the numbers between 20000 and 70000, including the numbers 20000 and 70000, how many each…

A: The total number of numbers between 20,000 and 70,000 is 70,000−20,000+1=50,001. First calculate the…

Q: Show that im n /-

A: Limit of the sequence

Q: Which of the following is a correct conversion formula when changing from spherical to cylindrical…

A: We know that the following formula are used to change from spherical to cylindrical coordinates:…

Q: Find the interval of convergence 2 n(n + 1)(x – 2)" n=0

A: Given series is ∑n=0∞n(n+1)(x-2)n

Q: 4. The exact simple interest on P 450 for the period from January 10, 2004 to a "specific date" is P…

A: Given, Principal ,P= P 450 Rate ,R= 18% Simple interest ,S.I.= P 70.22 To find: a) Specific date…

Q: Let A be an n X n matrix with n > 1 and suppose A satisfies Ą² - Which one of the following…

A: True of false statement

Q: Plz do complete solution..tysm

A:

Q: car travelling along a straight road is clocked at a number of points. Use the following times and…

A:

Q: Find the null space of matrix A which is 1 3 13] 7 3 8 A =-2 -5 -3 0 3 2 6. 24 3 13 1 2. 6 3.

A:

Q: Approximate the function f(x) = sec(x) by a Taylor polynomial of degree 2 centered at a = Then use…

A:

Q: 3- Let {u,v,w} be a basis for a vector space V. Is {u + v,u + w,v + w} a basis for V?

A: Solution

Q: There are four vectors (1,a,b,c), (1,1,1,1), (1,2,3,1), (3,4,5,3). If the vector space (subspace)…

A:

Q: Example 1: Graph f(x) = x', and determine the domain and range of f. Solution: f(x) -3 -2 -1 3…

A:

Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm'. What…

A: We have to find the dimensions which will maximize the volume.

Q: ) In a school of 36 students, 19 of them studies Music and 16 studies Art. Each student studies at…

A: Given: Total number of students=36 Number of students who study music=19 Number  of students who…

Q: The critical point of the function f(x) = x³ – 5x² + 2x – 17 is %3D - o (용, 1) ㅇ (름, 1) o (음,-1) (금,…

A:

Q: Assume you have plant defined by the transfer function G(s) = 1/(s+a). a %3D Let Y(s) = G(s)U(s)…

A:

Q: Figure Q1(a) and Figure Q1(b) (refer to each student's attachment) illustrate the signal x(t) and…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

A:

Q: 8 m/s 6 m/s 3 m/s 2 m/s C, C; C4 C, 4m/s 2 m/s 5 m/s 4 m/s 4m/st c=20 mg/m³ 12m/s c= 15 mg/m 6m/s…

A: Consider the diagram showing the five mixing vessels connected by pipes. To obtain the simultaneous…

Q: HW 1: Find the trigonometric Fourier of the triangular waveform shown over the interval (-TT, T).…

A:

Q: . For n, m 20 and n # m, show S' T.(z)Tm(7). VI- -dr 0 This is called the orthogonality relation for…

A:

Q: M in * Homew. Resource Allocation You manage an ice cream factory that makes two flavors: Creamy…

A: We have 800 eggs and 1200 cups of cream . To find the feasible region and corner point of the…

Q: 5.5 التاريخ ORe=.V.D Re 1000*o.02495*0.027 1.002*103 Re- of

A: Please post the multiple parts separately.Here I answered (1) as per our policy.

Q: d'u =16- for all 0sxs10 and t20

A: Solution

Q: Consider an Ultimaton game in which the disagreement payoff of each player is c> 0. Which of the…

A: In an ultimaton game we have one player making an offer of how to split a given amount, and the…

Q: f(x.y) = V4- 36x - 36y answer the following questions. a. Find the function's domain. b. Find the…

A:

Q: The trace of an n × n square matrix A is the sum of its diagonal entries, denoted Tr(A) = a11 + a22…

A: Let A=a11a12...a1na21a22...a2n........an1an2.ann and B=[b11b12...b1nb21b22...b2n........bn1bn2.bnn]…

Q: nan = 2 ,nb, = 0. Determine whether the following converges or diverg or no conclusion can be made.…

A:

Q: Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 13, х1 %3…

A: Given A = -14-645-12-2-43λ1 = 13, x1 = (1, 2, -1)λ2 = -3, x2 = (-2, 1, 0)λ3 = -3, x3 = (3, 0, 1)

Q: A square n x n matrix is called skew-symmetric (or antisymmetric) if AT skew-symmetric and n is odd,…

A:

Q: d Jcose d cose 'cos(r sin 0)]= [e* Telcom sin(tsin 0)]. (i) Show that t. %3D dt

A: (b) (i) show that t·ddtet cosθ cost sinθ=ddθet cosθ sint sinθ consider left hand side  t·ddtet cosθ…

Q: 4. Is it possible to mix multiple airfoil profiles for an aircraft wing? If so, then why?

A: Let us find out if it is possible to mix multiple airfoil profiles for an aircraft wing in the next…

Q: 3 3 18 Use telescoping series to show that %3D 5 5*+2 25

A:

Q: y (x + 2y + 2) dx + (2xy + 5) dy = 0

A:

Q: dy 2 -4ysin x = 4y secx 10 cosx dx

A: We can solve this problem according to ask

Q: Evaluate the triple integral. 2xy dV, where E lies under the plane z = 1 + x + y and above the…

A: The solution is below.

Q: Show complete solution similar in the picture below 9610 B2 B8 B16

A: Conversion of base 10 to base2, base8 base 16

Q: The Shatzkins are adding a sunroom to their house. They want the sunroom to have area 14.00 m². One…

A: (a) Formula used: Area of a rectangle of length l and breadth b is A=lb. Perimeter of a rectangle…

Q: Half range Fourier seriesis defined as f(x)=2x within the range 0 <x <n a. Sketch Fourier sine…

A:

Q: (5) Let us now consider a simple, symmetric random walk starting at 0 (which at each step goes up or…

A: Given, ei denote the expected number of times random walk visits I before returning to 0. To find:…

Q: Prove that the locus of the foot of the perpendicular drawn x2 +² a? = 1 to any of its tangent om…

A:

Q: Question Determine the Laplace Transform of the following functions: а. e4t (t2 + 3t + 5) b.…

A:

Q: (4b) Prove that there exists no positive integer x such that 2x < x² < 3x.

A:

Q: P= 30x, +40x2 2x1 +x2 5 80 X1 +X2 5 56 + 2x, 596 X1

A: