1 01 Lea A = -681 ;] find the decomposition PA=LU for the na solve the System AXÉ (111)] using the resu part (a)

Q: 4) Solve for y" + x²y' + xy = 0. Final answer must show the series until term of X7.

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Q: e) If a convex function f: R→ R satisfies f(10) = value for f(7)? = -4 and f(20) = 30, what's the…

A: Given that f:R→R is convex function with f10=-4, f20=30.

Q: Maximize z = 4x + 2y, subject to the following constraints. (See Example 8. If an answer does not…

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Q: There is a function with two variables f(x,y)=exy + √x +2 (i) Find the first order Taylor…

A: As per the question w are given a bivariate function as : f(x,y) = exy + √(x+2) And we have to find…

Q: 3. In fitting a parabola, the formula to find the sum of the squares of the residuals is a) E = Ey-…

A: Option a is correct answer

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A: Given: φn=2LsinnπxLφ2=2∂Lsin2πx2L To find: Solution

Q: The figure shows the graph of y=ax+b If f(x) = ax+b and g(x)=log3X, find the value of g(f(0)) . 3 B.…

A: Follow the steps.

Q: Q1) Let D = M₂ (Z2)be a ring find the order of D and all the idempotent elements.

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Q: If f(x)=x², 0<x< , find the Fourier sine series and draw a graph of the function with its periodic…

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Q: 2. Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = x²…

A: Given curve is y=x2, x=1 and x=2. We have of find the volume of the solid obtained by rotating about…

Q: 4. Prove that a permutation matrix is orthogonal.

A: Permutation matrix: Each column of a permutation matrix has only entry equal to 1 and all other…

Q: Q₁ QI Given ap.d.f. Por X70 P(x) = [ find: 0 M₂(t) DE(X) V(X)

A: The moment-generating function of a real-valued random variable is an alternative specification of…

Q: 1. Suppose you invest P5,000 at 10% simple interest. How much money will you have after 5 years? O…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 2. Consider functions u(x)=x+1 and v(x)=2* . v(x) Refer to the graph of y=- given, u(x) (a) State…

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Q: 1. For each of the following either show that the given subset of R³ is a subspace of R³ or explain…

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Q: (b) Show that the interval of convergence of the series -1/2 sest √2 2n-1x2n-1 (4n - 3)² is given by…

A: The radius of convergence of a strength collection is the radius of the best disc on the…

Q: Find the volume of the paraboloid, z = 9 - x² - y², that lies inside the cylinder x² + y² = 4.

A: It is seen that the paraboloid and cylinder both are extended upto negetive infinity of along z…

Q: Based on the data set below, find the interpolation value for x=2.5 from a fourth degree…

A: Given,   x 0 1 2 3 4 y 1 1 9 61 205

Q: 12. If the x-term is missing, then the quadratic equation cannot be used.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: (b) Let g(x)=√x with domain {x|x ≥ 0}, and let > 0 be given. For each c> 0, show that there exists a…

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Q: Suppose the function f: R → R has Fourier transform f(p) = 1 1+ 4π²p² бетра i. What is the Fourier…

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Q: 3. For each of the following normal curves, identify (as accurately as you can from the graph) the…

A: Follow the steps.

Q: Use chain rule to differentiate the following 1 y = sec+ (√x+;

A: To find the differentiation using chain rule :-

Q: [[ (x + 1)" dx dy D

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Q: Question 7 Define a relation R on the set of integers Z by: (a) Show that R is symmetric. (b) Show…

A: As per our company guidelines we are supposed to answer only the first three subparts. Kindly re…

Q: Question 7 Trigonometric Identities Prove TWO of the trig identities below [ (a) cos A-cot A 1-sin A…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A: Linear combination is the general solution , then satisfying the initial conditions.

Q: •4.0.5 f Determine area the top and all side of a platform below. Note// Parallogram shape 6m -2.65m…

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Q: Find the general solution to the following differential equation: y" - 2y' + y = x² - 1

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Q: Analyze the given system for b > 0, (fixed points, stability, bifurcation point, limit cycle, etc.).…

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Q: . A Garments Factory produces 2 kinds of curtains: Curtain A and Curtain B. For materials, the…

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Q: Specify the boundary and interior of the set S in 3-Space whose points (x,y,z) satisfy the given…

A: Given : S = (x, y, z)∈ℝ3 : x≥0, y&gt;0, z&lt;2 To find : (I) The boundary and interior of S,  that…

Q: Suppose G(r) is the generating function of a sequence (an), satisfying G'(r)=rG(r), G(0) = 1. iii.…

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Q: (@) Let FOR^ → R be a Function given by F(x₁, x,...,xn) = x²₁².. X²...x² x², where ) > x ²₁ =1. Show…

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Q: Q2: Use Linear Least-Squares Regression to fit the following variables: Xi 1 2 3 4 5 6 7 8 9 10 yi…

A: Given

Q: Consider x²y" — xy' — 2y = 0. i. Explain why x = 0 is a regular singular point and show that the…

A: Consider the second order differential equation                          y''+P(x)y'+Q(x)y=0 Then we…

Q: - - 2xy' + y = 0 . Final answer must Show the series Solve for- y until term of X7.

A:

Q: (a) Prove the convergence or divergence of each of the following series: 1! 2! 3! (i) + + +. + n! 2n…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: (b) Let g(x)=√x with domain {x|x>0}, and let e > 0 be given. For each c > 0, show that there exists…

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Q: (D² -1)y=2(1-e-2x)-1/2

A: Solution: Given a differential equation D2-1y=21-e-2x-12 Now, the characteristic auxiliary equation…

Q: 2. Let the function Prepresent the population in billions of a country P (t) and represented by the…

A: Since  you have posted a multiple  question according to guildlines I will solve first  (Q2)…

Q: 4. In Chebyshev polynomials form, the value cos 20 = ... a) (T₂(x) + T₁(x)) c)(T₂(x) - T₁(x))) O b O…

A: Solution

Q: 11 12 - 53 6 Given v = " 109 12 find the coordinates for v in the subspace W spanned by -1 4 U1 = -4…

A: We will write v as linear combination of u1 and u2 and then find values of

Q: Find the orthogonal compliment of the subspace W of 2x2 upper triangular matrices in the vector…

A: Using standard inner product in the space of matrices.

Q: asurement of as much as 0.1cm m error in the calculated volur

A: The volume of the cone is expressed as, V=πr2h3.

Q: 2. The value of f(x) dx = ..., for each Chebyshev polynomial T₁ (x), n ≥ 0. √1-x² c) 0 d) None of…

A: The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions,…

Q: Obtain the general solution to the equation. dy y + 2x + 1 dx X The general solution is y(x)=,…

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Q: Find the volume of the region cut from the solid sphere

A: Given the region cut from the solid sphere x2+y2+z2≤4a2by the cylinder x2+y2=a2.

Q: Q2) compute the missing values of yn and Ayn in the following table: Yn Ayn Yn4² 16.18 T 1.77 T…

A: Given, Newton Forward Interpolation yn ∆yn ∆2yn y1 =10 ∆y1=y2-y1=2.4 ∆2y1=∆y2-∆y1=-0.39 y2=…