For each of the sets of data that follows, use the least squares approximation to find the best fits with both (i) a linear function and (ii) a quadratic function. Compute the error E in both cases. (a) {(-3, 9), (−2, 6), (0, 2),(1, 1)} (b) {(1, 2), (3,4), (5, 7), (7, 9), (9, 12)} (c) {(−2, 4), (−1, 3), (0, 1), (1,−1), (2,−3)}

Q: Consider a function with three variables a, b, c s.t f(a,b, c) = 2abc – a²b +c²b³c Find fa (a, b,…

A:

Q: For the given data (0, 5), (1,9), (4, 3) find the curve y = a + byx that best fits the data in the…

A: Given the data (0, 5), (1, 9), (4, 3)

Q: Suppose a Curve passes through the faints (0,-4), (0.6,-3.64) and (1,-3). Find the polynomial which…

A: To find the best fit to the given point and find the value of function at x=-3.5

Q: Find the linear function f(x) passing through (6,8) and (8,10) Enter answer in form…

A: Explanation of the answer is as follows

Q: Use Lagrange quadratic polynomial to estimate the value of y at x = 1.5 from the data points (0,…

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Q: Find the linearization of y = 3xe²x-10 at x = 5. %3D

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Q: Find the value of x between the points  ( − 3, 2) and (x, 6) with slope 2/5.

A: We use the slope formula to find the slope between (-3,2) and (x,6)

Q: Find the average value of the function f(x)= (3x +15.x-7) (2.x +5) over the given interval [1,3].

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Q: Find the orthogonal trajectories of the family of 2 curves x² + y² = cy A B Ⓒ с D none of the…

A: Given curve x2+y2=cy

Q: v1 =[ 2 5 1 ] , v2 =[ − 3 1 − 1 ] , b =[ 11 19 5 ] Show that b is in Span{v1,v2}. Express b as a…

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Q: What is the linear approximation for any generic linear function y=mx+b?

A: Given: y=mx+b

Q: lease don't provide handwritten solution .....    Fit a quadratic function of the form f(t) = c0 +…

A: This passes through (0,8),(1,7),(2,18),(3,21)

Q: Find the point (x,y) on the line y=x that is equidistant from the points (3,8) and (−10,−10)

A: To find the point x, y on the line y=x, that is equidistant from the points 3, 8 and -10, -10.