Fit cubic splines for the given table. Utilize the results to estimate the value at x=5. Solve for first, second and third intervals and describe each step.

Q: The cost for taxi rides of different distances in miles shown by y= 2 x - 4 . Predict the cost of a…

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Q: Given ()=2x+1 and g() =x' X=2.

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Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: Find the y-intercept of the line that passes through point P (2,-3) and parallel to the line…

A: To find The Y-intercept of the line that passes through point (2,-3) and parallel to the line…

Q: Solve and Graph 4. 4x – 5y 2 10

A: Given that: 4x-5y≥10

Q: Solve for y.   5/2y - 7/3y = 1

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Q: Determine the root (if they exist) at the given interval for the equations as shown: x4 – 28x³ +…

A: The given equation is: x4-28 x3+ 288 x2-1116x+1296=0 To find the root of this equation we use…

Q: Find the longer dimension of the rectangle enclosed in a semicircle y=144- x2 with the largest…

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Q: Graph the line y =3/2x.

A: We have to graph the line: y=32x This is in form of y=mx so it will pass through origin. Drawing the…

Q: 7 45° y.

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Q: Find the longer dimension of the rectangle enclosed in a semicircle y=144 - x2 with the largest…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.