Consider the following system, y" = f(x), y(0) + y'(0) = 0; y(1) = 0, and a. Find it's Green's function. b. Find the solution of this system

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A: The mean is $53383 and median was $34612 We see that the mean is more than the median. When the mean…

Q: Problem 2. Determine if b = 665 is a linear combination of a₁ = 3 ,a₂ = a3 =

A: Given as b=665a1=12-3a2=-3-41a3=216

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A: Given below clear explanation

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A: Given: f(x,y)=4x2-5xy+3y2+8x+7y-8 listing all the KKT conditions applicable to this problem. Linear…

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A: What is Ordinary Differential Equation: An ordinary differential equation is an equation that…

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Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.

Q: 1. Use the Newton's method to find the root of each of the following equations correct to 3 decimal…

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Q: Let be a compact Hausdorff space, then find the necessary and sufficient condition for space to be…

A: Given that a compact Hausdorff space  To Find : Necessary and Sufficient condition for space to be…

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A: Initial number of workers is 300 Workers at present is 852   Now, precentage…

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A: # As per the guidelines we are entitled to solve maximum of three subparts at a time, please…

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A: For a function: z=f(x, y) the set of all the real values of z that results corresponding to the real…

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A: The given function is: fx=3x It is also given that the graph of f(x) is reflected across the x-axis,…

Q: G] Example: Raggs, Ltd., a clothing firm, has fixed costs of $10,000 a year. These costs, such as…

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Q: what is the mean, median, mode, range, and standard deviation of data set

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Q: (e). Use the Newton's method to find solutions accurate within 10-5 for et-3x² = 0 for [3,5].

A: Given : ex-3x2=0      and  3 , 5 To  find : Roots of given equation

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Q: A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric…

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Q: Without calculations, which of the following sets of numbers would have a larger variance? O2, 3, 4,…

A: Sol:- Correct option :- Explanation :-

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: Just as there are simultaneous algebraic equations (where a pair of numbers have to satisfy a pair…

A: As per guidelines we are allowed to solve maximum three sub-parts at a time so i am solving first…

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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: Please, help me with the solution of this problem, not only that I just wanted the solution but I…

A: This is a question from the Differential equation.

Q: 14 Error Analysis Describe and correct the error a student made in graphing g(x) = f(-x) as a…

A: Sol:- First plot the graph of f(x) = |x+2|+1Some Information about f(x):- Domain of  x+2+1 :…

Q: het f: [0, 1) (0,1) be given by f(x) = 2x (mod 1). Find a poin [0, 1) where f² (x) is in a 3-cycle 3…

A: Given below clear explanation

Q: 8. Exercise. ²dx T = 26+1 6 Use residues to derive the integration formula

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Q: Advanced Math Problem 3. In R2, the weighted inner product is given by (r. y) = ar y + bx^₂y/2 where…

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Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

A: Sol:- For positive x -axis:- Vector = (1,0,0) & GIVEN F = (-170, 120, -80) -170120-80,…

Q: 3) An infinite geometric series is given by Σ12(4-3x)*. Find the values of x for which the series…

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Q: -10+25

A: Answer -10 + 25 = ?

Q: Describe and graph (using a computer) the surfaces a) yz = 4 b) x² - y² = 1 c) 4x² + y² + 4z² − 4y −…

A: a) yz = 4  This represent the hyperbola. And  y = -4 , z = -1  y = -2, z = -2  y = -1, z = -4 y = 2…

Q: Variable Separable Find the general solution of the given differential equations. B. x sin sin x edx…

A: Given: Let us consider the given differential equation, x sin sinxe-y dx=ydy To determine: The…

Q: We will use the degree 4 Taylor polynomial for e at z = 0 to approxmate First enter in the degree 4…

A: Since there are multipart, I have solved other then graph interpretation.

Q: The Maclaurin series of a particular function f is x" f(x) = Σ_g?w=1n!" n=1 (a) Use the ratio test…

A: The given series is f(x)=∑n=1∞xn32n+1n2. (a) To Find: Radius of convergence using ratio test. (b) To…

Q: 1. 01 3. re2 dr 2x )/ alu 4. psia(x)gla x ln(x) dx x²e-x dx

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

A: Given that P(x) approximates a function f over the interval -1, 1, where P(x)=20x4-7x3is the…

Q: 19. Show that (for n = 0, 1, 2,..) (a) F(-n, b; c; 1) = (c-b)n (c)₁

A: We have to show F-n,b;c;1=c-bncn Solution: By Pochhammer definition cn=Γc+nΓ(c)           (1) and…

Q: 22/3÷32/4

A: We need to find 223÷324

Q: If a € RN and oTax ≤ √√₁9² * V vector. (a) maximize or such that (b) maximize ar such that (c)…

A: Given below clear explanation.

Q: For parts (a)-(e), please use the following vectors: C = (-1,-1,0) -120°, and 0₂ = 90° A = (2,4,0) B…

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Q: 2. If 24x 16, then x =

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Q: use the comparison test to determine if the following series converges or diverges E infinity/n=1…

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Q: and B (,0). B a) Write down the coordinates of the midpoint of line segment AB. Another line, L2,…

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Q: b) Find the domain and the range of the following function: f(x)=√x²-25

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Q: 0 J1 I 1 1 I 75 I HE I 1 11 U Y TH_A_ TT E 171 €

A: Sol:- when a vertical line cuts the graph only at one point , then it is said to be a valid…