d*y Section A: Solve the boundary value problem = x+ 2y, with the boundary conditions %3D Y(0)=0 and y(1)=0 ,take n= 4.

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A: We have to solve the given problems.

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Q: 38.) With respect to standari basis vectors a linear transformation T:R“ → R´ is given by the matrix…

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A: Solution :-

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A: Given, Cost of 10 tickets = $89.90  Cost of 5 tickets = $44.95 Let, Cost of 1 ticket = x

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Q: 9 10 12 13 5) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=3x°…

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A: We prove that a line cannot contain three distinct points by method of contradiction.

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A: We will find the function to be minimized and then use calculus to minimize it

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A: Introduction: The Gram–Schmidt process is a method for orthonormalizing a set of vectors in an inner…

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A: Given that the length and breadth of the tent is x and the height is y. (a) We know that the formula…

Q: EXERCISES Find the absolute maximum and minimum of the functions on the given domains. 1) f(x, y)…

A: Here we find the first and second order partial derivatives of function and use the first order…

Q: 1)Determine S[f] (Fourier series) if: a) f(x) = 2x; x ∈[-1, 1] such that f(x) = f(x+2) b)…

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Q: Determine whether the Fourier series of the following functions converge uniformly or not. Sketch…

A: Let us start solving the problem step by step  Given functions: a. f(x) = sin(x) + |sin(x)|, - π…

Q: 2 Consider the quadric surface S; + v + 1) – = 1 2 + (y + 1) %| 4 3 (a) Find an equation for the…

A: The trace of the function: f(x,y,z)=0 on the plane x=k is calculated by substituting x=k in the…

Q: 3) Find Possible Positive, Negative or Imaginary Zeros. f(x) = 2x³ - x² - 25 %3D Count the number of…

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Q: Linear と 2x-4X

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Q: (2) Solve the Laplace equation with the following boundary condi- tions. Uzr + Uyy = 0, 0 < « < a,0…

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Q: (3) Evaluate and convert to rectangular form, [ 2 ( cos-+ i sin =)]5 4 4

A: To evaluate and convert in rectangular form :-

Q: Q/ Use Lagrangian polynomial to find f'(2.1) from the following table x 1 2 3 |f(x) 10 17 22

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Q: , Does there exist an 8 x 8 matrix A = (as) satisfying the following three conditions? (i) If i 2 j…

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Q: A company estimates that a certain piece of machinery will have to be replaced in five years' time…

A: Solution:-

Q: Show that the function f defined by 1, (x, y) = (1, – 1) f (x, y) = x² + y (x, y) # (1, –1) x + y is…

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Q: 25. (i) Calculate the determinant of thenxn matrix 1 1 1 0 1 1 0 1 ... ... I 1 1 1 A = 1 1 ... 1 1 1…

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Q: Ex. Directions: Graph and describe each line given the following conditions. 2 through the points (–…

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Q: The table of values represents a function f(x). Using the trapezoidal rule n=4 subintervals,…

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Q: 1)Determine S[f] (Fourier series) if: c) f(x)=x² + x; x∈[-π,π] such that f(x) = f(x + 2π) d)…

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Q: Duse the Euler Method method Solve the: Saytanrs tan x-Sinzt, yl0)=1 ,hz0.l 0.1

A: To solve the equation by Euler's Method we will use the formula yn+1 = yn + hf(xn , yn).  We will…

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A: In this question, the concept of the graph is applied. Graph The graph of a function is the…

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A: True. The slope of a secant line represents the average rate of change.

Q: Show that recel projeetrue space is an manifol a.

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Q: Given: surface G : 9x^2 - 4z^2 = 9y (a) Give the equation of the trace of G on each coordinate plane…

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Q: Problem Four: In a dental clinic with one dentist, the average number of patients from time to time…

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Q: and ind scalars a and b such thai Dw.

A: given u=8i+4jv=i+jw=i-jWe have to find scalar a,b Such that u=av+bw

Q: 5. A rectangular tent is made to have a square base with two partitions inside that divide the tent…

A: The total surface area of an object refers to the two-dimensional space the object's surfaces…

Q: Let fnf, where if 0<a < (2 a) if< <1 In (x) n-2 2- 0. if 0<<1 if x 0 and f(x) Then lim sup fn (x)…

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Q: Suppose a function y f(x) is given with /(x) 20 for 0 sxs4, it the area is bounded by the curves y…

A: Given function y=f(x) and f(x)≥0 for 0≤x≤4. and area bounded by y=f(x), y=0, x=0 and x=4