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Q: Approximation Theory Q1\ Define the strictly convex norm. Let F [0, 7] and let fi (x) = sin(x), f2(x...

A: Given: F = [0,1] and let fi(x) = sin(x), f2(x) = cos(x) and || || = || | . Is || ll strictly convex ...

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Q: Consider the following Linear Programming Function maximization Z = 3x1 + 2x2 with structure constra...

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Q: QI Gnvert ra74 Grlesinn epuation and gketch he Gurve i chuk thisyractry an r4aloso yraphthecarve

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

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A: A relation R on a set A is called symmetric if (b, a) ∈ R whenever (a, b) ∈ R, for all a, b ∈ A.

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A: As you mention in question that you want only final answer so, i provided the same as you want. kind...

Q: If lim am = 0, then the series ) an is convergent. n +00 n=1 O True O False

A: Solution

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Q: Given: B = (xI20 < x < 50 and x is divisible by 7 }, find n(B). a. 30 b. 20 c. 10 d. 5

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Q: Vs are in R' and v3 = 0,

A: Given,  if  v1, v2, v3, v4, v5 are in ℝ5, and v3=0.

Q: V Solve using method of undetermined coeficents (D³+GD°+ 12D + 8)y =o when x=0, y=1, y'=-2, y"

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Q: 2 0 1 8] 5 6 0.5 3 [20 A = |-5 [24 12 -36] 10 -30] 5 [2] B = |1 C = [0 8 4] D 2 1 2 4 Lo] -3 7 –1 0]...

A: Please find attachment for the details solution 

Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 = 12 - 3x1 + X...

A: The given question is related with system of equations. Given that                2x1 + x2 = 12-3x1 ...

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Q: II Solve the differential equations x (x- y²- x) dx =y(x²-y 2) dy when x=2, 1. y=0

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A: let y= ln(x )   be a logarithmic function.

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Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 = 12 - 3x1 + X...

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Q: *(;) - »() n Proposition 10. Let n and k be positive integers. Then k = n k k - 1 Special directions...

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A: We have to find the value of h such that the given set of vector is linearly independent.

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Q: Proposition 8. Let m be any integer. If 5|(7m), then 5|m. Special directions: You can not use your p...

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Q: Question 1 Find a vector equation of the line passing through the point P(1, -1, 3) and parallel to ...

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A: Introduction: The divergence and curl of a vector are two very important operations in vector calcul...

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Q: 27. Determine the number of n-digit numbers with all digits odd, such that 1 and 3 each occur a nonz...

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Q: 7x If the function y= e' O on the interval (-co,00), determine is a solution of y" -ay+ 14 y = a) 5 ...

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