A natural cubic spline S on (0,2] is defined by Jsin - 1+2-r. S) = if Osr

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A: Note: As per our guidelines we are supposed to answer only one question and the rest can be…

Q: Construct a clamped cubic spline passing through the points 9, 13 and 22 with fx=x3+1

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A: We will use bounds of error in approximation using trapezoidal rule and Simpsons rule

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A: The lines that trace the center of the spheres will form into square pyramid. See figure below.

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A: κ(t)=‖r→'(t)×r→''(t)‖‖r→'(t)‖3 and B→(t)=r→'(t)×r→''(t)‖r→'(t)×r→''(t)‖ here r→' is the given curve.…

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Q: 0, 2 is defined by A natural cubic spline S on 5. So()12x - 0 if 1 (1) S(r)2b(x1)c(x - 1)2d(x - 1)…

A: 5.Note that, the natural cubic spline must satisfy the conditions

Q: A natural cubic spline S on [0,2] is defined by (So(x) = 1+ 2x – x³ S(x) = Is, (x) = a + b(x – 1) +…

A: Given: Natural cubic spline S on [0,2] is defined as: Sx=S0x=1+2x−x3 if 0≤x≤1S1x=a+bx−1+cx−12+dx−13…

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Q: 5i (1-i)12-i)13-) quamtiy -2-vl30 to deal Reduce the つumbed。

A: The real number is, (-1/2) or (-0.5)   The detailed solution is as follows below :

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Q: 11. Circle in the plane z = 1 with center (3, 2) and passing through the origin.

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Q: 5. Triangle POR with verlices P(-2, 3). Q(2, 4). and R(1,-1): x -3 P' - R' 111

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Q: 2 FIND THE PARAMETRIC AND SYMMETRI C EQUATIUNS OF THE 甥寮┤㈑┤㈑┤㈑┤㈑┤ PASSES THROUGH (2,8,10) THAT AND…

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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Q: roblem 1. Show that if (x, y, z) is a Pythagorean triple then 60|xyz.

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Q: (13) If you rotate the area bounded by the line segment joining the points (0,0) and (r,h), the…

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Q: A natural cubic spline is defined by [a, (x – 1)' + b, (x – 1)² +c, (x – 1) + d, f(x) = if 0<x<1 (x…

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Q: What is thie generalized union and interdection of %3D where 1-10,1)

A: As given,  λ is the index set for A.  Hence, there are two sets possible,  Aλ=0  =  [ -(1/0) ,  0]…

Q: For this exercise we will use the fact (see Exercise 32 in Section 6.5) that the moments of a…

A: Consider the given and draw the figure: