* Question Completion Status: QUESTION 3 Consider the following four open inervals (1,3), (2,5), (2,7) and (1,4) and the Cartesian products (1,3)x(2,5) and (2,7)x(1,4). The instersection of these two Cartesian products (1,3)x(2,5) and (2,7)x(1,4) is the Cartesian product of the intervals (a,b) and (c,d) with the end points a, b, c and d, where a= b= C= d= QUESTION 4 10 15

Q: Evaluate I = f(sin x + 4y) dx + (9x + y) dy for the nonclosed path ABCD in the figure. D T C B ·x A=…

A: We have to evaluate .

Q: 6. Determine whether the improper integral sin x dx In x converges or not and justify your answer.

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Q: A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is colored…

A: Given:A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is…

Q: 4. How many equal subintervals would be required to approximate the integral within 0.0001 by the…

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Q: f(x) is periodic with period 2\pi and the picture is the graph of f(x) on [-\pi, \pi]. find the…

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Q: hat the linear system x(t) = −7x+2y dt d dt - y(t) = − 1x — 8y d x(t) x(t) y(t) $ [ 30 ] = 4 [ 38 ]…

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Q: SOLVE FOR SEPARABLE VARIABLES WITH SUBSTITUTION u=Ax+By+C, with B different from zero c) dy dx 1-x-y…

A: We have given,Substitution: From (1) and (2)

Q: e 0 J。 leit – al² where |a| is not 1 b 2 = (eit - a)(e-it - ā) grate on a unit circle Q using Cauc

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Q: 1. Calculate exp(A) where A is the 2×2 matrix given by A 7 -2 -[33] = 5 5

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Q: Solve the equation 2x-3/6+1/3=5/3 ×=

A: Given equation isWe have to solve the above equation i.e. we have to find the value of x.

Q: Choose the power series solution to y" - 4xy + (4x2 - 2)y = 0. ○ (ao + α1x)ex² O None a² ○ (a +…

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Q: 7. Complete the spreadsheet section below so that columns A through C are complete for numbers 1 to…

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A: We have to solve the given problem by using Laplace transform.

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Q: A contract requires lease payments of $800 at the beginning of every month for 5 years. a. What is…

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Q: Let v₁ = (1,3,5), v² = (-2, 1, 7) and let P be the plane spanned by v¹ and v². (That is, P = (v1,…

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Q: Use @RISK to draw a binomial distribution that results from 50 trials with probability of success…

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Q: Find the smallest positive integer r such that (Note that 2113 is prime.) Type your answer... 224r 1…

A: By Fermat's little theorem,    If p be any prime and a be any integer, then we have     ap-1  1…

Q: Use the method of undetermined coefficients or the method of differential operators to find one…

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Q: Which of the following ODEs has no singular points? Select one: a. ey" + x²y + sin(x)y = 0. b. (1+…

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Q: Express the column matrix b as a linear combination of the columns of A. (Use A1, A2, and A3…

A: b = -A1 + 2A2Explanation:

Q: K Give the matrix formulation of the linear programming problem. Minimize 7x+5y+3z subject to the…

A: We slove this problem by simplex method.

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A: The given integral is .We need to evaluate  and .

Q: Find the order and degree of the differential equation:- d³y d4y dy + dx3 = 6xy dx4 dx .

A: Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1:

Q: Let A and B be invertible n * n matrices. Then the inverse of ABA-1 is Select one: O a. ABA-1 O b.…

A: • The inverse of ABA-1 is AB-1A-1. • The option c is correct. Explanation:

Q: Approximate the following integrals using the Simpson's rule S" 3/(x2-17) dx where b = 0.356.

A: Approximate integral using Simpson's rule: -0.062980Explanation:Step 1:  Given, ∫0b​x2−173​,dx…

Q: Please Solve this question using advance math and differential equation, pls solve manually, i need…

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Q: 1. Consider the following system dx dt dy dt = = x(1 − x − y) = y(0.5 0.25y 0.75x)

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Q: If it is possible to label each element of an infinite set S with a finite string of keyboard…

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A: According to Arcidemes, the first step is to construct a triangle with same base and same height.…

Q: The estimated resale value R (in dollars) of a company car after t years is given by R(t) = 24,319…

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Q: Given a matrix A = a b and denoting its eigenvalues by 2₁ and 22 (note that these can be the same…

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Q: y 3. y'= ✓ {yln(y)-x=cy} x + y

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Q: 2. Consider the equation of simple harmonic motion considered in Example sheet 14: d²x + w²x = 0,…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: Let F = xyi - zk and S be the cone z = √√√x² + y² , 0 ≤ Z ≤ 1. Evaluate the surface integral F*ndS…

A: Given surface is z=x2+y2  ,  0≤z≤1A parametrization of this surfacer→(u,v)=(ucos⁡v)i→+(usin⁡v)j→+uk→…

Q: ∞ ■Consider the series Σ an where an = n=1 1 n(n + 3)* k (a) Find a formula for the kth partial sum,…

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Q: (1). Use Fourier Transforms to find the complete solution x(t) for the displacement of the damped,…

A: Hello, I've uploaded the step by step answer. Hope this helps. Explanation:

Q: a. b. C. Consider vectors V₁ = (4, -5, 6) and V₂ = (1, 2, 3). Compute the angle between vectors v₁…

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Q: True or false: If f is analytic at each point of a closed contour I, then fr f(z) dz = 0. If true…

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Q: Please answer these three question using differential equation thank you

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Q: (1) Problem Exercise 4.1.18: Determine whether the given set of functions is linearly independent on…

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Q: I have: P(E)=25/100      P(F)=50/100    P(F|E)=17/25      P(E|F)=17/50 I don't know if E and F are…

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Q: Let T be a one-to-one linear transformation from R* to Rs. 1. What can one say about the…

A: Given  is a one-to-one  linear transformation from  to .

Q: (c) Show that the image of the annulus {z: ^ - 1, 1W - 3/31 > 4 3 4 ! T ་་་

A: The answer is explained in belowExplanation:Step 1 Step 2:

Q: 3. For each of the following pairs of ordered bases ẞ and ẞ' for P2(R), find the change of…

A: To find the change of coordinates matrix from a basis β′ to β for the vector space VThe identity…