ctermine whether the tollowing matrias are Yow-echelon forms or not ? plan why? 1 -2 37 150 o 1 -1 1 0 2. B= C = -1 - 1 1 29 15 5 1 -1 De 12 00 1 o 1 2 3

Q: (2x + 1)(x + 1)y" + 2xy' – 2y = (2x + 1),

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Q: iyz(x)= 20 (1) x-by=D0 (2) A) yo= (1 Blyn= C + 20 Cz こ (1 Cz e 2+x-2

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Q: y"-6y'+9y= 0 v(0) = 2 1/(0) = 3.

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Q: Evaluate using Laplace Transform: (sin t 2 ) at f(t) = et 0.

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Q: If cot 0 = 2, cos 0 < 0, find the exact value of each of the following. (a) sin (20) (b) cos (20)…

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Q: It is known that h1(t)=e3t2, h2(t)=30e3t2 are solutions of the differential equation 4h" - 12h' + bh…

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Q: Find a Maclaurin series expansion for f(x) = e- 2x

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti + t²j 0.

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Q: In a population of statistics students it was found that the mean score on the final is 150 with a…

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Q: Exercise 4.13 –(1) Convexity. Show that the following function is concave: f (x) = 1 – (||Ax+b|l, +…

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Q: 1 of f(t) -5<t<0 is 1+t 0<t<5

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Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1 1 X' = 1 X -2 -2 -2 X(t)…

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Q: Solve the given ODE using Laplace Transform x"(t) – 4x'(t) + 4x(t) = 4e2t; x(0) = –1,x'(0) = –4 %3D

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Q: Evaluate using Laplace Transform: tsin3 3t dt e-3t f(t) = 0,

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Q: During the pandemic, airline companies struggle to revive their profit. To attain the targets, an…

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Q: To help with the startup costs of his new dental practice, Tony is taking out a $56,000 amortized…

A: Loan Amount =$ 56,000 Interest rate =8.5% pa                     =8.5%12 Monthly payment =$694.32

Q: Conversion between Number Bases Q.6) a. Convert the following number to decimal form by expanding in…

A: a. 10010two is converted into decimal form by expanding in powers as shown below.

Q: The complex number z is defined by z = 3·z + 4.j where z is real. a) Find, in terms of z, the real…

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Q: Consider the differential equation: xy" – y' 18y (1) Making the changes of variable x= e', y=…

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Q: The complex number z is defined by z = 3·z + 4.j where z is real. a) Find, in terms of z, the real…

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Q: What would be the solution for this question

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Q: xy? x2 + y? and f (0,0) = 0, then which of the following is correct? (2) Let f: R2 –→ R be defined…

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Q: The integral TT tan x sec?x dx 2 O none of them is an impróper integral of type I that diverges is…

A: Improper integral

Q: Find T(t) and N(t) at the given point. r(t) = (t – 4)i + tj; t = 4 T(4) =

A: Given that rt=t2−4i+tj, t=4

Q: The following sales data are available for 2003- 2008: Year Sales 2003 33 2004 36 2005 38 2006 43…

A: 3-year moving average can be calculated by taking 3 data points from start and by calculating the…

Q: 3 b.

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Q: 5. Evaluate determinant D by: c. Chios Method 6 4 12 16 6 8 8 14 14 4 A = 4 6 16 12 2 2 10 18 10 14…

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Q: Consider the equation y" + ay' + by=f(x) where a and b are real constants. If the general solution…

A: Given, second order differential equation y''+ay'+by=fx General solution of a differential equation…

Q: Calculate the derivative of t2 -k 3 - t F(t) = cos(t) i + 3e2t+2j + |

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Q: Let S be the quadric with equation 36x2 – 4y2 – 922 – 36x = 0. %3D (a) Classify the graph of S. (b)…

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Q: The average rate of change of the constant on the line at the points P(-1, 2) and Q(9, -13)…

A: Average rate of change can be calculated as follows:

Q: Find the inverse transform of the given functions: 4s2-4s+1 1. F(s) = (s3–4s2+s+6)(s²+5) 3s-6 5s 3.…

A: Inverse Laplace transferom of the function

Q: If f is bounded and integrable on [a, b] such that | f(x) | 0).

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Q: -3)K

A: Here we use vector differentiation

Q: Use Brute Force to determine the lowest weight -43 21 18 37 35 29

A: We have to use Brute Force to determine the lowest weight Hamilton circuit for the graph below.…

Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)   PLEASE!!!

A: Given differential equation is y''+2y=secx. We have to find the general solution of the given…

Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = . 3 dt = 8. e2t

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Q: 4. Show that the sequence { fn}, where nx fa(x) = xER 1+n°x2 is point-wise convergent but is not…

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Q: Verify Green's Theorem by evaluating both integrals aN dA |v² dx + - x² dy ax ду for the given path.…

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Q: If sin 0 = 0 <0<5, find the exact value of each of the following. 2 (a) sin (20) (b) cos (20) (c)…

A: We know that for a right-angled triangle,  Sin x = height / hypotenuse. Cos x = base / hypotenuse.…

Q: In Holland, 70% of the people own a car. If five adults are randomly selected, what is the…

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 : = 35 and the upper cone z2 =…

A: The given problem is to find the volume of the ice cream that is bounded by given surfaces. Given…

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t)

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Q: Find the Laplace transform of the following: 2. f(t) = v1+ sin t + (5t)18 + t² cos 2t

A: Here given function as ft=1+sin t+5t18+t2cos 2torft=sin2t2+cos2t2+2sin t2cost2+5t18+t2cos…

Q: Let A find on Conditions a,bic and d has infinitely that AX =o many solution . what must there Pere…

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Q: f (t) = tcos3 3t dt 0, e-4t

A: Given: f(t)=∫0∞tcos33te-4tdt To find: Value of integral using Laplace transform.

Q: Evaluate using Laplace Transform: f (t) = tcos3 3t dt e-4t

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Q: e 2x Consider the differential equation y" – 4y' + 4y x7 - It is proposed as a particular solution…

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Q: Exercise 5.3.3. For each of the following, determine whether or not the group is cyclic. If so,…

A: Here we use basic group theory

Q: Find the standard matrix for the linear transformation T:R? → R? that contracts points vertically by…

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