Find a non-zero 2 × 2 matrix A such that A2 = A =

Q: Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. 13 -21…

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Q: Given D = 6p sin ø a, +1.5p cos o as C/m², evaluate both a) S,D'dš p=2,o<¢<T,0<Z<5 6) p:…

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Q: 86s – 78 Find the Inverse Laplace Transform of (8+ 3) (s – 4)(5s – 1) - A) 4e -3r B - 3e-31 + 2e“ +…

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Q: F(p), then prove that

A: simple use of integral transformation

Q: Verify Stoke's theorem for the vector field F = (2x - y) I-yz"J-yz K over the upper half surface of…

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Q: 2x 1- if 0<x<a/2 Find the Fourier series of f(x)= f(x+7)= f(x). if a/2<x < T

A: The given problem is to find the Fourier series expansion of the given periodic function with period…

Q: Use integration by part to obtain a formula for S x"e®*dx and use it to find S x°e*dx. n Bx 3 5x

A: We have to find the formula for given integral.

Q: Suppose p= 5x?+2x +3o figure out the coor olicuate relative to the follewing basis for 29 pi =i, Pz…

A: Given p=5x2+2x+3 and basis  p1=1p2=1+xp3=1+x+x2

Q: a×a×a×c×c×c

A: Given expression is a×a×a×c×c×c. We have to simplify the given expression. We know that…

Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 -'cos3t B -Isin9t 3 cost 9 -'sin3t (D 3

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Q: In the cost function below, C(x) is the cost of producing x items. Find the average cost per item…

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Q: ponse. Question 2 Use Laplace transforms to solve the differential equation y'(t) +5y(t) = 10H(t-…

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Q: ... .......s ..... ...

A: Let's take first class tickets as x, where x &gt; 25 Coach tickets as y, where y &gt; 40. On each…

Q: Find the Laplace Transform of f(t) = cos? 3t

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Q: Verify Stoke's theorem for the vector field F = (2x - y) I- yz*J-yzK over the upper half surface of…

A: Stokes theorem is used

Q: 4x1 + 2x2-2x3 = 0 X1 - 3x2 - x3 = 7 3x1 - x2 + 4x3 = 5

A: Here I use excel to solve this problem.

Q: 1. y' = et ; y(0) = 2

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Q: 2.45 A reinforced concrete column 200 mm in diameter is designed to carry an axial compressive load…

A: Given Diameter (d)= 200 mm Axial compressive load (p) = 320  Allowable stress for concrete σco= 6…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given f(x, y) = x2 + y2 with Constraint: x + 2y - 5 = 0

Q: 4. UMNIA If the function h: [a, b] → R is bounded, Riemann integrable and satisfies h(x) > 0 for all…

A: Here given h:a, b→ℝ is bounded and Riemann integrable and hx≥0 for all x∈a, b, Then we have to show…

Q: 6s 3 Find the Inverse Laplace Transform of + s²+25 s2+ 25 6 -cos3t – -sin5t 5 3 A B 3cos5t+ - sin3t…

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Q: Find the solution of the heat equation ôt = 0 if the boundary conditions are 3. ди ôu = 0, Ox lx=0 =…

A: The given problem is to find the solution for the given heat equation partial differential equation…

Q: How to found out that for insertion sort the worst-case running time is of the form an2 + bn + c?

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Q: 3s – 2 Find the Inverse Laplace Transform of G (s) 2s2 – 6s – 2

A: The inverse Laplace transformation formula states that L-1s-as-a2-b2=eatcoshbt,…

Q: Construct a truth tabie in each of the given mathematicai statements. Use the space provided below.…

A: Given: (p→q)∧~r(r∨q)↔(~p∨q)

Q: cos o cos(x sin 0); p} = r(p) cos po CoS O %3D = cos ¢ sin (x sin o); p} = r(p) sin po %3D

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Q: A. For v1,v2,v3,v4,v5∈V, {v1,v2,v3,v4,v5} is linearly dependent.  B. For v1,v2,v3∈V,…

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Q: Find a plane through P (2, 1, 1) and perpendicular to the line of intersec- tion of the planes:…

A: find a plane through P2,1,1 and perpendicular to the line of intersection of the planes  2x+y-z=3 ,…

Q: A landscape architect is designing an elliptical pool that will fit in the center of a 20-by-30-…

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Q: Let V be the set of all real n x n matrices. It can be shown that V is a vector space over R with…

A: Introduction: The subspace of a vector space is a non-empty subset of the vector space over the same…

Q: Find the Inverse Laplace Transform of* s2+4s+4 te (A) -21 te D 1²e-' 2. 2. B.

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Q: 4n2 Tantel show whether (an )Cconverge diverge or

A: Given : The given series is :  ∑n=1∞un= ∑n=1∞4n29n4+1. To find : We have to find whether the given…

Q: Theorem 3.1. Let V be an inner-product space and vectors x, y e V, then |(x, y)|< || x || | - Strict…

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Q: Find the area and circumference of the circle represented by the polar equation r = 6 cos 0 using…

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Q: 3. Use your ruler to draw your own triangle and vector . Explain how to use your ruler to translate…

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Q: A culture initially has 700 number of bacteria. At 1=5 hour the number of bacteria is measured to be…

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Q: Build a Venn diagram. • Use the names of the sets to label the regions. • Place the numbers in the…

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Q: lidear Prove Shat os ever de is a non toe thede Functional actinp non- zero normed space non tec…

A: This proof follows as a consequence of Hahn-Banach Theorem for Normed Spaces. Hahn-Banach Theorem…

Q: Question 4 MO21. A civil engineer is analyzing the compressive strength of concrete. Compressive…

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Q: 2. Estimate the root of f (x) = tan x - 13 csc x + 4. Use Newton:Rapbson's method with initial x¡ =…

A: given f(x) = tan(x) - 13csc(x) + 4 So f'(x) = ddx(tan(x) - 13csc(x) + 4)       = sec2(x) +…

Q: Find the minimum value of f(x1, X2) = 2x, + 3x2 subject to the following constraints. Write the…

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Q: If {u,v,w} is linearly independent in a vector space V, which of the following is the correct proof…

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Q: こ (0) of

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Q: An airline offers coach and first-class tickets. Fo the airline to be profitable, it must sell a…

A: This is the question of LPP and optimization.

Q: Prove that if n is a +ive integer,

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Q: QUESTION 1 You are approved for a loan of $25.000 at 5.3% compounded quarterly If you plan to pay…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = L, (1, 2, 2)

A: This is a problem of vector calculus.

Q: Jompute the line integral | (yzev +y? + z - 2r) dr + (rze"ys + 2ry) dy + (rye*v= +x +32?) dz, where…

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Q: Find parametric equations and symmetric equation for the line. 8) The line through (2, 1, 0) and…

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Q: Choose the correct answer for Laplace Q. transform x (t) = e-t + e3t answer choices 1 1 s +1 s + 3 1…

A: Given x(t) = e-t + e3t