Solve using the undermined coefficient of differential equation

Q: Given f(x)=√x-5; x+5 and g(x)=x+3. Find the domain of (gof)(x)?

A: Given f(x) = x-5g(x) = x+3

Q: following atemen may onsider usi Lay, Suppose that (an) is a bounded sequence and that the series…

A:

Q: Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated…

A:

Q: In 3 Using 4-node Gaussian integration in approximating ³ x ex dx, which f(x) in the formula has…

A: Given: Let us consider the given, ∫1ln 3x ex dx and determine the approximation using 4-node…

Q: (1.5) Investigate the complete controllability of the linear autonomous system J=-2y+u y=-x+y in the…

A: Given,x˙=-2y+uy˙=-x+yTo find: Controllability if-            a) the control u is unbounded…

Q: 2. Topologically sort the vertices of the digraph below. Your answer should be a sequence (list) of…

A: To find topologically sort the vertices of the diagraph A topological sort of a digraph is a linear…

Q: 4/3 5² = 2² -3 (2²) *² y' x

A:

Q: Let X be a normed space, Xn, Yn EX such that Xnx, Yny, then 1-Xn + Yn → 4- ||xn-ynll→→llx - yll.…

A: Given that X is a normed space, xn, yn ∈X such that xn→x, yn→y. To find: 1. xn+ yn→x+y…

Q: Show that for all real x sin x 1 sin²x x + sin³ x x + 2 sin x 2 + sin x

A: We need to show that, sin x  - 12 sin2 x + 14 sin3 x - 18 sin4 x + ...... = 2 sinx2 + sinx Consider…

Q: Lk -8 k - 11 6. Assume that A and B are n x n matrices with det A = 3 and det B = -2. Find the…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: .Using 1 – node Gaussian integration, we have ſ ƒ(x) dx ≈ w₁ƒ (x₁). What is the value of x₁ ? b+a…

A:

Q: 2. Given the matrix A below, 1 A = 02 2 1 0 1 2 0 1 4 solve for det inv A. The several of the…

A:

Q: Determine all complex solutions of the equation cos(z) = 2.

A: First represent cosz in exponential form then make quadratic equations to find solutions as in next…

Q: Find the solution of the equation P №²₂ a²z อ + cos y ax² ay ² which tends to zero as x→∞ and has…

A:

Q: Find sec42x -dx tan 2x A --—-—-cot²2x-—-—-cot³21+ C 16 cot82x) (4sec22x-1) B -(cort2x) 4 12 11 1 C)…

A:

Q: Use the method of Lagrange multipliers to optimize the function subject to the given constraint.…

A:

Q: 5. (a) Evaluate the polynomial y = x³ - 8x² + 12x - 0.45 at x = 2.378. Use 4-digit arithmetic with…

A: (a) The objective to evaluate the polynomial p(x)=x3-8x2+12x-0.45 at x=2.378. Use 3-digit arithmetic…

Q: Exercise 15.3.10. (a) Suppose a, b € C*, where a = 4 + 3i and b = 5 - 12i. What is (ab)-¹2 What is…

A:

Q: Write  basic steps of developing a LP MODEL?

A: The steps for developing a LP model are as follows 1.First define the variables  2. Write the…

Q: ITI 7 6 5 4 -3 ·2 1 -2-1 -2 12 3 45 5 6 7 8 II x

A:

Q: lowing vector in the span{V₁, V₂, V3}? 8,9) me vector is in the span. me vector is not in the span.

A:

Q: Using 1 - node Gaussian integration, we have f f(x) dx ≈ w₁f(x₁). What is the value of w₁ ? b+a (a)…

A: Given that using 1-node Gaussian integration, we have…

Q: Given the set of points for the image and preimage, identify the composition of transformations and…

A: Given the set of points for the image and preimage are Preimage=2,-6Image=2,3 where radius is same…

Q: Consider the given graph below: B A O 1/4 2 с 3/4 D E E 71 F 5/4 31/2 G 71/4

A:

Q: What is the missing number? * 15 17 1 9 8 12 27 40 00 00 28 12 23 13 ? 28

A:

Q: Question 9 Calculate the indefinite integral below, with the method of u-substitution. In x [112 dx…

A:

Q: Exercise 15.2.21. For each of the following multiplication tables, fill in the blanks to make a…

A: To make a group in caley table , every element in that group appear in each  row and each column…

Q: j+j+ i + √j...

A:

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Eu, by rouping the…

A:

Q: 5. Use variation of parameters to find a general solution of the system, x'(t) = Ax(t) + f(t), where…

A: We have to find the general solution of the given problem.

Q: Problem : Consider the following van der Pol oscillator: x+µ(x² − 1)x + x = 0 a) Show that the…

A: As per the question we are given a van der Pol oscillator, and we have to find its state space…

Q: 3.8 The integral √2²¹³ x³e¯x² dx is approximated by Simpson's 3/8 rule with 9 intervals. Let f(x) =…

A:

Q: The approximate value of fx sin x dx by combination of Simpson's 1/3 rule and Simpson's 3/8 rule (6…

A:

Q: Question 3 Solve the equation A) x = ln 4 B)x= C) x = C) x = e44= 0 ln4 ¹4 D)x= 0 E) x = 1

A:

Q: Question 8 Suppose f(x, y) = x²y + xy³. Find fry (0, 1). A) 2xy + x²y' + y² + 3xy²y' B) 5 C) 3 D) x²…

A: Given: fx, y=x2y+xy3 To find: fxy0, 1.

Q: I.) F = (y sin z)i + (x sin z)j + (xy cos z)k II.) F = e³+²z(i + xj + 2xk)

A:

Q: Find the 2 x 2 matrix P such that Po is the orthogonal projection of in R2 onto the line consisting…

A:

Q: Matrices D, M and X are 5 x 5 invertible matrices. Given det (A) = 7, det (M) = -4, and Hlet (P) = 6…

A: (a).  det3MT As  detMT = detM So det3MT = 35detM = 243(-4)  =  -972 Hence Answer: det(3MT) = -972

Q: 1. Given the following matrices: 1 1 0 11 1 1 2 1 2 B = 0 A 2 2 Evaluate 1 0 1 0 1 4 If ies D1 3 01…

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

Q: xy'=y+ IX2-y2 ху

A: We have to find the general solution of the given differential equation xy'=y+x2-y2 .

Q: A car dealership has 6 red, 10 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A:

Q: Devin has an opportunity to save $205 per month at an APR of 4.1% in a 401K plan through work. He…

A:

Q: Evaluate fő ·∙log 1+ax dx 1-ax x√√1-x² ). (1+

A:

Q: In the following graph draw the vectors v = [0, 3, 1] and w = [0, 1, 4]. (a) Highlight the…

A:

Q: 3.Let U be the universal set and let A, B and C be subsets of U. Sketch a Venn diagram for each set.…

A:

Q: For problems 1 - 4 give the vector for the set of points. Find its magnitude and determine if the…

A:

Q: 1. Use the Pinching (Squeeze) Theorem to evaluate the following limits: (a) lim (-1)"+cos(3n), (b)…

A: As per our guidelines, we are supposed to answer only 3 sub-parts. That is why I will solve only…

Q: Test the convergence of the power series below: (-2) n Σ 3n-2(3x-5)n n=1

A: Radius of converges of the power series

Q: Find the solution of the equation P №²₂ a²z อ + cos y ax² ay ² which tends to zero as x→∞ and has…

A:

Q: An estimate value of f(x) dx is 10 using trapezoidal 2 - interval rule. W is an estimate value of…

A: