Reference no: EM13975594
Problem 1 - For the polynomial f (x) = 0.025x5 - 0.0625x4 - 0.333x3 + x2 - 2
(a) Calculate the value of the function for x = -1, - 0.5, 0, 0.5, 1, 1.5, 2, 2.5
(b) Plot the polynomial for - 4 ≤ x ≤ 4
(c) Find f(9)
(d) Find the value(s) of x for which f(x) = 0
Problem 2-The following data points are taken from a process believed to follow a power function.
v (mi/h) |
20 |
30 |
40 |
50 |
60 |
70 |
d (ft) |
45 |
80 |
130 |
185 |
250 |
330 |
(a) Find a quadratic (e.g, x2 +...) polynomial that fits the data.
(b) Plot the data points against the function in "a" above.
Problem 3- (a) On a single figure window, plot the function ?? = 10???? for m = -2, -1, 0, 1, 2 (use rectilinear axes unless specified otherwise).
(b) For what values of m does the function pass through the origin?
(c) On a single figure window, plot the function ?? = ???? for m = -0.5, -0, 0.5, 1, 2 (use rectilinear axes unless specified otherwise).
(d) For what values of m does the function pass through the origin?
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