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1. A rectangular piece of cardboard measuring 26 inches by 42 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the sides.
Let x represent the length of a side of each such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.
2. A coin is tossed upward from a balcony 220 ft high with an initial velocity of 48 ft/sec. During what interval of time will the coin be at a height of at least 60 ft?
(h = -16t2 + v0t + hQ)
Show that A-B ? C ? A?B ? B?C?
So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable
When three quantities a, b and c are in G.P., then the geometric mean "b" is calculated as follows. Since these quantities are in G.P., the r
In a survey of 85 people this is found that 31 want to drink milk 43 like coffee and 39 wish tea. As well 13 want both milk and tea, 15 like milk & coffee, 20 like tea and coffee
Lines EF and GH are graphed on this coordinate plane. Which point is the intersection of lines EF and GH?
How does your answer to this question compare with mine, which follows? i) To begin with, 1 laid the beads out in a row for counting, so that I wouldn't leave any out or count a
We desire to construct a box whose base length is three times the base width. The material utilized to build the top & bottom cost $10/ft 2 and the material utilized to build the
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
what is quantity ?
Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
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