Write each expression in Problems 43 - 46 with positive exponents only, and as a single fraction reduced to lowest terms. 5 x 4 x + 3 2 − 2 x 5 x + 3 x + 3 4
Write each expression in Problems 43 - 46 with positive exponents only, and as a single fraction reduced to lowest terms. 5 x 4 x + 3 2 − 2 x 5 x + 3 x + 3 4
Solution Summary: The author explains that the lowest form of the given expression using positive exponents is 5x4(x+3)2.
2. Consider the vector force: F(x, y, z) = 2xye²i + (x²e² + y)j + (x²ye² — z)k.
(A) [80%] Show that F satisfies the conditions for a conservative vector field, and find a potential
function (x, y, z) for F. Remark: To find o, you must use the method explained in the
lecture.
(B) [20%] Use the Fundamental Theorem for Line Integrals to compute the work done by F on
an object moves along any path from (0,1,2) to (2, 1, -8).
Game: dropping marbles from a 100-floor tower, given unlimited amount of identical marbles.
if marble breaks when dropped from level X -> it breaks from all levels higher than X
if marble doesn't break when dropped from level Y -> no marbles will break when dropped from level lower than Y
Goal of Game: Find the highest level, from which the marbles doesn't break.
Please design a testing plan to minimize the worst-case number-of-tests required to find the answer, with the constraint you
can only break max 2 marbles.
What is the minimum number of tests required? Explain your testing plan and how you arrived at this number.
Height = 1
Width=1
How much is the shaded area in the chart above?
Chapter A Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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Understanding Fractions, Improper Fractions, and Mixed Numbers; Author: Professor Dave Explains;https://www.youtube.com/watch?v=qyW2mWvvtZ8;License: Standard YouTube License, CC-BY