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All the integrals below are understood in the sense of the Lebesgue.
(1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]. Then
(2) Assume that f is integrable over [0; 1]. Show that
is di erentiable a.e on (0; 1).
(3) Assume that f is continuous on [0; 1]. Suppose that
a circle is circumscribed about an equilateral triangle whose side is 3 cm. find the area of the circle.
Five cards - the ten, jack, queen, king and ace, are well shuffled with their face downwards. One card is then picked up at random. (i) What is the probability that the card is
What are Natural Numbers and Whole Numbers? Natural numbers are the numbers that you "naturally" use for counting: 1, 2, 3, 4, ... The set of whole numbers is the set of
3+5
for all real numbers x, x 0
I have some sample simulation and modeling practice questions using isee Stella software.
we have to find the perimeter when 1 rib is 7 cm and another rib is 5 cm
Oscar's Oil Company provides customers a 5% discount if they pay their bill within 10 days. The Stevens' oil bill is $178. How much do they save if they pay the bill inside 10 days
a car comes to a stop from a speed of 30m/s in a distance of 804m. The driver brakes so as to produce a decelration of 1/2m per sec sqaured to begin withand then brakes harder to p
find a30 given that the first few terms of an arithmetic sequence are given by 6,12,18...
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