P(s) = 1 s+ 42 1 (s+ 3)¹

Q: Find the order of the matrix.           –12 –24 11 –10 10 –5 3 9           _____ ⨯ _____

A: -12-2411-1010-539

Q: Find the matrix element e11. E =           16 –9 –11 14 –16 –15 –1 25 –23 –18           e11 =

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Q: Use appropriate algebra and Inverse Transform Theorem to find the given inverse Laplace transform.…

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Q: Graph the compound inequality on the number line. x>-7 and x <-3

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Q: 4. (i) Let V be a real inner product space, with the inner product denoted by (,) and the associated…

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Q: 3. Use False-Position method to solve the same problem in Number 2. Use the same lower and upper…

A: As per the instruction we will only solve the question 3. The false position method is a…

Q: Find the point at which the line (1, 2, 3) + t(5, 1, 1) intersects the plane -4x - 4y + 4z = -160.

A: Any point on the line &lt;1, 2, 3&gt; + t&lt;5, 1, 1&gt; can be expressed as         (1 + 5t, 2 + t,…

Q: 1. Leather Limited manufactures two types of belts: the deluxe model and the regular model. Each…

A: (a) Suppose, the number of deluxe belts and regular belts be x,y respectively. Suppose, the total…

Q: Q3. Consider the following optimal control problem. min [~ ² {p(x(t))² + (1 - 4) (u(t))²} dt s.t.…

A: As per the question we are given an constrained optimal control problem where the system is modelled…

Q: Which of the sequences {an} converge, andwhich diverge? Find the limit of each convergent sequence.…

A: The given sequence, an=ln 3-ln 2+ln 4-ln 3+ln 5-ln 4+.....+ln n-1-ln n-2+ln n-ln n-1 We have to…

Q: b) F(x,y) represents a velocity field of a fluid over a surface S defined by z= 6-3x-2y. If the…

A: The flux over the surface S in the first octant is given by the following integral: Flux=∫SF⋅ndS…

Q: 2. Determine an equation for a cosine function that has a period of 1800°, an amplitude of 3, a…

A: Given that Period =1800°amplitude=3vertical shift =4 phase shift =225°

Q: The outside dimensions of a rectangular box (bottom and four sides, no top), made of aluminum, are…

A: (a) Given the dimensions of the top open box as 24 by 12 by 4 inches. The thickness of the box is x…

Q: If 24=16i, a) How many roots z; are there? b) What is the value of arg(24)? (Your answer should be…

A: We have the relation        z4 = 16i (a) It is a polynomial in z of degree 4.   Then, by fundamental…

Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Minimize z = x…

A: We solve the problem by graphical method

Q: I am a bit confused about slide 13 of the Inequality Graphically Desmos as being confused about how…

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Q: Evaluate lim N→ N N Σ j=1 14 ( √ ) ²2 14 14 by interpreting it as the area of part of a familiar…

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Q: Alex wants to come up with a system to encode program languages. They decide to set C=10. From this,…

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Q: 1. Classify the following differential equations as to order and linearity. State the independent…

A: a. y'+Pxy=Qxb. y'''-5y'+6y=0c d3sdt32+5s4t2=0 Note: We are allowed to solve 3 subparts of a question…

Q: Find the order of the matrix.           10 –19 19 16 21 –18 –4 0

A: The given matrix is as follows: 10-19191621-18-40 There are two rows and four columns in the above…

Q: Solve the following equation 2 sin 4x + sin 2x + 1 = 0 on the interval 0 ≤ x ≤ 2.

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Q: Q1. a. Calculate L b. Calculate L 1 S s³ +4s²+3s, 5s s²+4s+4

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Q: Define  Normal mode of a matrix transformation?

A: To Define: Normal mode of a matrix transformation. Matrix Transformation: It is used to transform…

Q: 2. Find a Fourier series particular solution for nonhomogeneous vibration equation where the…

A: Given,               d2udt2+u=F(t), where the periodic driving force F(t), and the graph is given…

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

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Q: 6. Create a table of values for each relation with a minimum of 4 points. Graph each pair of…

A: The graph is defined as the pictorial or diagrammatic representation of the given function or the…

Q: Find an equation of a plane containing the line r (-3, -3, -5)+t(4, 4, -2) which is parallel to the…

A: A plane containing the line r=-3, -3, -5+t4, 4, -2 which is parallel to the plane -2x+y-2z=8. We…

Q: 2 x+16x³+9x+256x+256=0 4 3 Find the values of x?

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Q: Prove that f ( x ) = x ⋅ | x | is continuous at all points c in ℝ.

A: f: ℝ→ℝ defined by fx=x·x

Q: Suppose that: A = {1, 2, 3}, B = {1, 2, 2, 3}, C = Ø, D = {Ø}, E = {}, F = {2, 1, 2}, G = {1, 2,…

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Q: Marcel dives off of a springboard at the pool. His height, h, in metres, above the surface of the…

A: We have to solve given Questions.

Q: Find the unit tangent vector of the given curve. 1. r(t) = (3 - 2t) i + (2t - 8) j + (3 + t) k 2.…

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Q: /13-x-5-5√x 0 ≤ x ≤ 13 os X = a ₁ x = b a+b? a<b

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Q: Find the solution of the following system using Gauss elimination. (Enter your answers as a…

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Q: The graph of one complete period of a sine curve is given. y А -9 period 4 (a) Find the amplitude,…

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Q: 1)² y² Consider the surface S₂ with equation 4 a) Find an equation of the trace of S₂ on the…

A: The given surface is S2 : x-124+y29-z23=1. (a) To Find and To Explain the type of conics that each…

Q: Find a basis for the subspace of R³ spanned by S. S = {(1, 3, 6), (−1, 4, 6), (2, 4, 1)} EB) ↓1

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Q: Find the Laplace transform of the given function: t 2 f(t) = L{f(t)} = (0, t²4t+8, s>0

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Q: Let s, t (st) be vertices of a graph G and assume that there is an edge ab such that if we remove…

A: In this solution, we will explore the implications of an edge in a graph that splits it into two…

Q: Given: f(x) = (x²,0 < x < 1) (π, -1 ≤ x < 0) a) Find the FOURIER SERIES of the given STEP FUNCTION.…

A: Given function is: fx=π,        -1≤x≤0x2,           0≤x≤1 (a) The fourier series is:…

Q: Let A be an adjacency matrix of C5. Show that A² = J-A+I where J is the 5 x 5 matrix of all 1's and…

A: Adjacency Matrix of a graph G:- Let G be a graph with vertices v1,v2,...,vn. The adjacency matrix of…

Q: Preview Activity 5.1.1. Suppose that the following information is known about a function f: the…

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Q: (a) Prove that −A defines a cut.(b) What goes wrong if we set −A = {r ∈ Q : −r /∈ A}?(c) If a ∈ A…

A: To Do: (a) We have to prove that -A defines a cut. (b) What goes wrong if we set -A=r∈Q : -r∉A? (c)…

Q: A plane delivers two types of cargo between two destinations. Each crate of cargo I is 4 cubic feet…

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Q: Is it possible to solve y' = xy for y(0)= 0? Is the solution unique?

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Q: The London Eye is an observation wheel with a radius of 78 m. Rides consist of one complete…

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Q: The 454-N force is applied to the 80-kg block, which is stationary before the force is applied.…

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Q: Determine whether the set of vectors in P₂ is linearly independent or linearly dependent. S = {1+ 3x…

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Q: not sure I understand the answer. Can you explain it more simply in plain English? What is an…

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Q: 3. Prove that the sequence of functions (fn)1 converges uniformly on X CR if and only if the series…

A: