Use the following graph of ) to estimate the solution(s) of Ax) = 0 for osxS6.28. 3.14 471 6 28 -1- • O 1.57, 4.71 O 3.14 0, 6.28 -1.57

Q: (a, o) is not measurable.

A: to find that a,∞ is measurable or not  proceed as follows We know that every interval is measurable.…

Q: find Rang, coefficiend of Rangs, Quartile devialion and cocfficient, of of the following OD classes…

A: Range= Largest term-shortest term R=L-S Here S= 1-0.5= 0.5 L= 60+0.5= 60.5 R= 60.5-0.5= 60…

Q: Given that en 2= V and en 3=W,express each of the fallowing in terms of vand w a) in zv0/3

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Q: Solve the Ssy stem by graphing. S2x+3y=6 he+ hei-ニsっ What is te soloution set?

A: We have to find the solution set of the given equations when they represents a graph. A solution set…

Q: Find the first piece S1 (x) of a natural cubic spline that interpolates the set of points (0,1),…

A: Formula for cubic spline interpolation is…

Q: Show that both ℝ and ℝ2 may be covered by countably many open balls.

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Q: If A= then A" + nl is equal to

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Q: Find and plot the cubic spline S satisfying S(0) = 1, S(1) = 3, S(2) = 3, S(3) = 4, S(4) = 2 and…

A: %File Name: findSplineCoefficient.m %Define function function [ retCoeff ] =…

Q: Find a set of 3 points in S' so that dcos does not satisfy the triangle inequality.

A: The sine distance between two points x,y∈ℝ2 is defined as: dsinx,y=x.yxy and the cosine distance…

Q: Prove that on average, permutations of length n have H, cycles, where Hn i=1

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Q: Q1. Compute xdx x'+10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: The given integral is, I=∫01xdxx3+10 Dividing the interval (0,1)  into 2 intervals (for 3 points)…

Q: Show that S= {xER*| x < 2x.} IS convex

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Q: Provide a left-hand-side, right-hand-side proof of the following: dt

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Q: Blank 1 is movement of a side of a preimage parallel to that side with respect to one other fixed…

A: We have to fill the blanks.

Q: Let C be the shortest path that connects z to ri and /= J, (sinhz + 1)dz. Then O 1 cosh r+ n(1+) O…

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Q: (2,4,2) √(122) Axlna +(By²2)] + (2 +9³) 2² what should A ond & be for the integral to be path…

A: Let us denote F1=Axlnz, F2=By2z and F3=x2z+y3. We have to find the value of A and B such that the…

Q: 2, Say whether the Runction is even, odd, or neither. Give reasanS for your dnswer. ga) = x"+ x*-1

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Q: Show that the function f(z) = from [0, 0) to [0, ∞) has a fixed point c. Hint: Set f(r) = z and show…

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Q: Solve the loieal Vahue Pr blem by the characteristic Hethod Using For a) flx)> 1 and A fx)- K.

A: Solve intial value problem Solving by characteristics equation

Q: Show the following se ts Convex ? are for ast sh} k k-1 PCt)=a,+aztr...a t

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Q: verify that (AT )T = A

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Q: Prove that on average, permutations of length n have H, cycles, where Σ Hn i=1

A: We will take an arbitrary set containing n elements and observe the required permutations.

Q: Prove that Theorem 13.1 (vi) using the simple ftn, nonnegative ftn and general ftn. (vi) If X is…

A: vi) From the given information, X is measurable in N.  There exists a sequence of simple functions,…

Q: Show that the sete S = {x E R]x = m/3, where m E N with m > 4} is countable

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Q: The coordinates of the holes on the plate. x (in.) y (in.) 2.00 4.2 4.25 5.5 5.25 5.8 6.2 7.81 9.20…

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Q: Determine if the following is a fundemental set of solutions to  y'' -6y' + 25 = 0 Given that…

A: If the Wronskian of two solutions is not equal to zero, then the given set of solution is…

Q: Q1. Compute xdx x' +10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: we have  I=∫01x dxx3+10dx  n=3h=b-an=1-03=13…

Q: 3. Show that X = (x|Ax=b, x ≥ 0} is convex. following ure which no

A: As per our guidelines we are supposed to answer only one question.

Q: 2. What is the largest possible c in (1) if X=R² and x₁=(1,0), x₂ = (0, 1)? If X = R³ and x₁ = (1,…

A: Given: c To find: a) X=R2b) X=R3

Q: graph'the Sorution to the follow imy inginequratityon animber line nur (x-2) (x+5) z O

A: Solving the problem by doing the graph.

Q: Let Á = ry?a, + x³yzay, Evaluate A. dl along the path y = x2 from a(0,0,2) to b(3,9,2) Select one: O…

A: We will find out the required value.

Q: gla): [veri de, fued g'la). ☺ Compute #4.@ If ) es ds -6

A: if function is continuous on interval [a,b], and  Above rule is also called Leibnitz rule of…

Q: Check the lineor delende nee or IndePondence fature for seto below: in M UR 2x2 1 o in PsUR) B)…

A: The solution is given as

Q: Convert the following problenm to the dual fom Ond set the talaleau up minimize Where 42=0 2>こ○…

A: Given the LPP          Minimize C=12x+4y+17z          subject to 3x-5y+12z≥17…

Q: Suppose three similar geometric figures are constructed off the three sides of a right triangle in…

A: Consider a right triangle with the length of the altitude a, the length of the base b and the length…

Q: (3) Let A be m x n (not need to be square). What is the sum of the diagonal elements of ATA in terms…

A: (3) Given that Abe m×n matrix (not need to be square matrix). We have determine the sum of the…

Q: find the desivalive d the functian ha)= ainfse and compute h'(2) Th o

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Q: Show that U. AS cuhere N= {3 unaluralnun %3D

A: To proveG={N,*} is not a group under binary operation a*b=ab where a,b∈N

Q: Find all the values of x satisfying the given conditio

A: Given:- y=x-√(x-2) To find:- value of x when y=4

Q: that H(m m). Show

A: Given function is: Hm=3m-2 We have to find the inverse function H-1m. Let Hm=y Then we get,…

Q: Estimate the value of f2 (1 – x-4x + 2x) da using 4- segment Simpson's 1/3 Rule. O 1144.5 O 2146.7 O…

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Q: 2

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Q: Show that (t) =| 2 3t is the fundar

A: Given that,            y'=A(t)y                          ...(1) where                A(t)=-1t1-6t23t

Q: Prove that any ball (open or closed or half open) in R³ is path connected.

A:

Q: (2) Let S := {1,..., n}. Compute the number of towers of length of the form A1 c A2 c S, where A1 +…

A: A tower of length  set is a basically chain of subsets of different size.

Q: is a cycle (closed walk) of length 2. O True O False

A:

Q: -. Show that both R and R2 may be covered by countably many open balls.

A: Soution.

Q: Nine Starbucks are located in a 3 mile by 3 mile square area in which there is a 1 mile by 1 mile…

A:

Q: Determine the ratio and interval of con (-1)"x" in=0 n6" O R.O.C=6, 1.0.C: x E [-6, 6) R.O.C=1,…

A: Here we have ∑n=0∞(-1)nxnn6n=∑n=0∞an ⇒an=(-1)nxnn6n