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Python Write a function index_last(elem, seq) that takes as inputs an element elem and a sequence seq, and that uses recursion (i.e., that calls itself recursively) to find and return the index of the last occurrence of elem in seq. The sequence seq can be either a list or a string. If seq is a string, elem will be a single-character string; if seq is a list, elem can be any value. Don’t forget that the index of the first...
Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0).
A manufacturer of corrugated metal roofing wants to produce panels that are u = 44 in. wide and 2 in. thick by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the shape of a sinewave with equation y = sin(πx/11).Find the width w of a flat metal sheet that is needed to make a 44-inch panel.
You are given the price p(q) at which qunits of a particular commodity can be sold and the total cost C(q)of producing the q units. Find the revenue functionR(q), the profit function P(q), the marginal revenue R’(q),and marginal cost C’(q). Sketch the graphsof P(q),R’(q), and C’(q) on the same coordinate axes anddetermine the level of production q where P(q) ismaximized.p(q) = 710 - 1.1q2 ;C(q) = 2q3 -23q2 + 90.7q + 151
Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by y=−x2−2x−5y=−x2−2x−5 and y=2x−17y=2x−17 about theline y=3y=3line y=−1y=−1line y=−34