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railway tunnel of radius 3.5 m and angle aob =90 find height of the tunnel
Find all the local maximum and minimum values and saddle points of the function f(x, y) = x 2 - xy + y 2 + 9x - 6y + 10
If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.
A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.
How many ways can six men and three women form a line if no two women may stand behind each other?
A bank pays on its savings an interest rate of 6% per year but compounds interest monthly (i.e., estimates the interest each month and adds it to the balance). You plan to deposit
(a) An unordered pair fm; ng with 1 ≤ m ≠ n ≤ 6 is called a duad. List the 15 duads. (b) There are 15 ways to partition {1, ......, 6 } into 3 duads, such as { {1; 2}, {3, 4},
how do you solve a homogeneous ode that''s not in a multiplication or division form
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