By Todhunter, I. (Isaac)
The beneficial reception which has been granted to my historical past of the Calculus of diversifications throughout the 19th Century has inspired me to adopt one other paintings of a similar type. the topic to which I now invite cognizance has excessive claims to attention because of the delicate difficulties which it includes, the precious contributions to research which it has produced, its vital sensible purposes, and the eminence of these who've cultivated it.
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Distance of a Moving Object from a Fixed Point A hot-air balloon, headed due east at an average speed of 15 miles per hour at a constant altitude of 100 feet, passes over an intersection (see the figure). Find an expression for its distance d (measured in feet) from the intersection t seconds later. 17 112. , have grown from 2006 through 2010. , in 2008. How does your result compare to the reported value of $374 billion? , 2010 Annual Report Net sales ($ billions) Wal-Mart Stores, Inc. Net sales (in $ billions) 15 mph 100 ft 2006 111.
If the point (2, 5) is shifted 3 units right and 2 units down, what are its new coordinates? 98. If the point ( -1, 6) is shifted 2 units left and 4 units up, what are its new coordinates? Applications and Extensions 99. The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side (see the figure). Find the lengths of the medians of the triangle with vertices at A = 10, 02, B = 16, 02, and C = 14, 42. 100. An equilateral triangle is one in which all three sides are of equal length.
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