Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

Q: the best method to find the polynominal for a given data of unequal interval is

A: To find: The method to find the polynomial which is best to use when data is of unequal interval.…

Q: tain z = 올n (+롤)

A: Solution :-

Q: Prove by sequences that the open balls in R^n with the usual (Euclidean) metric are not compact

A: In this question, we have to show that open balls in ℝn with the usual metric are not compact by the…

Q: 2. Write the Taylor's series expansion of the function f(x) = sin (ax) about x = 0, where a 0 is a…

A: Solution :-

Q: The Z-transform of the following function f[k] =2k + .(-5)* - 3 (-4)* 42 so the constants A and B…

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Q: Let A be a 2 x 2 matrix. Given the following descriptions, determine the following elementary…

A: Introduction: The three fundamental elementary transformations or operations on a matrix are: either…

Q: Q1: Let A [1 2 3;4 5 and B-19 8 7 6 5 C-[1 2 3; 4 5 6;7 8 Find A - 4 B-3C ? 6; 7 8 91 4; 3 2 1] and…

A: Here we have to compute A-4B-3C for the given matrices A, B and C.

Q: The Z-transform of the following function f[k] =22*+/-(-5)* – ²³ (-4)* is So the constants A and B…

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Q: Prove and illustrate by an example. V(fg) =fVg+gVf

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Q: Verify that the indicated family of functions is a solution of the given differential equation.…

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Q: 6- Solve the following initial value problems: a) 16y" - 40y' + 25y = 0, y(0) = 3, y' (0) = b) 4y" -…

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Q: Let A be a 3x3 matrix, and let u₁ and u₂ be the first two columns of A. Assume that u₁ and u₂ are…

A: Here, u1 and u2 are the first two columns of the matrix A and they are not parallel.  That implies…

Q: 2. Farmer Nancy runs a small Midwest farm, raising cattle and pigs. Although her cattle business has…

A: Identify the decision variables: Let x be the quantity of corn and y be the quantity of commercial…

Q: (ii) Find Gx(t) = E (tx) when X is a geometric random variable; i.e. for a {1,2,...} it is that P(X…

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Q: Let (fn) be a sequence in L that converges uniformly on to f. If µ(2) < ∞ show that Integral (f)…

A: It is given that fn converges uniformly on Ω to f , for ∀ε&gt;0, there is N&gt;0 which is…

Q: Find f¹(6.0), error = error =0(h²)

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Q: For #1-9, suppose a ball's heights in feet at time t in seconds is given by s(t) = 64 - 16(t− 1)² 1.…

A: 1. Consider the given equation of ball's height, st=64-16t-12 the graph is shown below, it can be…

Q: 4. Test the existence and uniqueness of solutions of the initial value problem: dy 2xy y(-1) = 1 dx…

A: The given differential equation is dydx=2xy4+x2+y2.      y(-1)=1. To Check: Existence and uniqueness…

Q: You have three types of ground coffee: cheap ($5/pound), medium ($8/pound), and expensive Arabica…

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Q: Classify the following matrices: a) b) d) [ -2 6 9 32 -40 -206 63 242 -123 -636 194 -216-1095 335…

A: Given below clear explanation.

Q: The system of equations: 10x1 + 2x2 + x3 + x4 = -3 2x110x2 + x3 + x4 = -15 10x3 + 2x4 = -27 c1 + x2…

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Q: The system of equations: -10x1 + 2x2 + x3 + x4 = -3 2x110x2 + x3 + x4 = -15 10x3 + 2x4 = -27 x1 + x2…

A: The Gauss-Jacobi method can be used to approximate the solution of a system of linear equations by…

Q: Determine whether the flux of the vector field F through each surface is positive, negative, or…

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Q: A- Find the volume of the solid generated by revolving region bounded by the curve y(x-1) and lines…

A: As per the question we are given a solid of revolution which is obtained by rotating the 2d region…

Q: Given a curve C: r(t), find a tangent vector r' (t), a unit tangent vector u' (t), and the tangent…

A: Given That  A curve C : r(t)=t i^+1tj^ +k^ and P:2,12,0 To Find : Vector r'(t) a unit vector u'(t)…

Q: 3. Write the Taylor's series expansion of the function f(x) = cos (ax) about x = 0, where a ‡ 0 is a…

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Q: Exercise 2.16. Prove the formulas for the equations of lines in the Hyperbolic Half-Plane model.

A: Solution:- In a hyperbolic half-plane model , we use the following definitions ; h-point: any point…

Q: Find the standard form of the equation of a circle given the following conditions 10. Passes through…

A: We will use general equation of circle  x2+y2+2gx +2fy +c=0  ......(1)

Q: let Ax=b where A is n*n matrix and b = [bi]. find out the number if multiplications additions and…

A: Given: The equation is Ax=b where A is a matrix of order n×n and b=bi. To find: the number of…

Q: dx +(sin x)y'-3xy = ln x(+1)

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Q: What is the 2D modulation transfer function MTF(u, v) of this system? [The flowing integral may…

A: Assume an imaging system has a point spread function (PSF) . To convert this in MTF we use given…

Q: (a) Show that d(m, n) = |m²-n²| 1+ m²-n²| defines a metric on the set of natural numbers N. Hint:…

A: Given That: d(m,n)=|m2-n2|1+|m2-n2|   To Show : a) d  defines a metric on the set of natural number…

Q: 5x-1 > 5x-3 or 3x+6 > -1+10x

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Q: 2.Proof that any tangent plane for the surface F(- point = 0 passses through a fixed

A: Given below clear explanation

Q: Determine the roots of f(x) = -12- 12x + 18x² -2.75x³ a. Graphically b. Using Bisection Method c.…

A: Sol:- A. Graphically:--12-12x+18x2-2.75x3=0Plotting: -12-12x+18x2-2.75x3The solutions arex≈…

Q: j) Is there a number n with the prop- erty that f(n) +2=5?

A: Given: There are 10 peoples in a line. Let A=1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and f be a function that…

Q: Make truth table or p imply q

A: We need to make a truth table for p implies q Now, p implies q can be written as p→q

Q: 5. x = A sin (wt + B); w a parameter, not to be eliminated.

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Q: tanz = — in (1 + ²/2 ) Z In

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Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…

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Q: 5- Given that y₁ (t) = t is the solution to: + 12/12 y = 0 Use the reduction of order method to…

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Q: Consider the following system, y" = f(x), y(0) + y'(0) = 0; y(1) = 0, and a. Find it's Green's…

A: Given : y"=fx   ,  y0+y'0=0  ; y1=0 To Find : a . Green's function             : b . Solution for…

Q: (i) Sketch (as accurately as possible) below the function y = t², as x varies from -2 to 2. Then…

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Q: j=1 (−1)ª 3j² + 5j

A: Given series is ∑j=1∞−1j3j2+5j. Alternate series test:- Let an be a sequence of positive real number…

Q: Question 1. Consider the following LP problem: min ACR s.t 2= 2x₁ +5x₂ 2 5, 9, -4, 0. A VIII -2x₁ +…

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Q: Let P(x)=20x*-7x³ be the Lagrange interpolating polynomial that approximates a function f over the…

A: Given Px=20x4−7x3 be the Lagrange interpolating polynomial that approximates a function f over the…

Q: Which of the following sets are equal (select all that are equal)? a. {x € Nx² > 0} b. N c. {x € Zx²…

A: To identify which of the give sets are equal.

Q: II. Verify if the indicated equation is an explicit or implicit solution of the given DE.…

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Q: 4. Find all real solutions of 3sine 4cos0 that each of them does satisfy the given equation. = 2.…

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Q: A root of x-0.5e-2x = 0, which is locate in the interval [0, 1] correct to three decimal places…

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