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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)
Define an ordered rooted tree. Cite any two applications of the tree structure, also illustrate using an example each the purpose of the usage. Ans: A tree is a graph like t
Evaluate the mean of temperatures: Example: Given the subsequent temperature readings, 573, 573, 574, 574, 574, 574, 575, 575, 575, 575, 575, 576, 576, 576, 578 So
In a frequency distribution mode is 7.88, mean is 8.32 find the median. (Ans: 8.17) Ans: Mode = 3 median - 2 mean 7.88 = 3 median - 2 x 8.32 7.88 +16.64 = 3 median
find the value of x for which the distance between the points p(4,-5) and q(12,x) is 10 units
a mixture of 40 liters of milk and water contains 10% water.how much water should be added to this so that water my be 20% in the new mixture
Scalar Multiplication - Vector arithmetic Another arithmetic operation that we wish to look at is scalar multiplication. Specified the vector a → = (a 1 , a 2 , a 3 ) and any
Show that the product of 3 consecutive positive integers is divisible by 6. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1
Calculate log equation: Calculate log 10 2 - log 10 3. Solution: Rule 2. log 10 (A/B): log 10 A - log 10 B log 10 2 - log 10 3 = log 10 (2/3) =
I wanted to know what are surds.please explain with an example.
WRITE the condition that should be fulfilled by two matrices A&B to get the product AB and BA
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