Consider the following function. f(x) = ln(1 + 2x), a = 8, n = 3, 7.6 <= x <= 8.4 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f Tn(x) when x lies in the given interval. (Round the answer to six decimal places.) |R3(x)|

Find the distance between the point (-3,-4), and (see the picture below)

Three students each examine the system of linear equations shown. 8x + 4y = 16 8x + 2y = 8 caleb says there is exactly one solution. jeremy says there is no solution. kim says there are infinitely many solutions. which student is correct? provide mathematical reasoning to support your answer. answer in complete sentences. : d

Which of the following choices gives you a slope of 3?