working model in maths in trignometry


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Question 4
Question: A committee of 6 is chosen from 10 men and 7 women so as to contain atleast 3 men and 2 women. In how many different ways can this be done, if two particular women refuse to serve on the same committee? Answer: Let the two ladies who refuse to work on the same comm..
Jeff and Victor can do a piece of work in 14 days. Jeff alone can do i..
Jeff and Victor can do a piece of work in 14 days. Jeff alone can do it in 22 days. In how many days can Victor alone do the same work? Choose the mathematical model for the problem. => A rational equation. or Using geometric or coordinate techniques can help..
A manufacturer makes two models A and B of a product ,each should be p..
A manufacturer makes two models A and B of a product ,each should be processed by two machines. To complete one unit of model A, machines I and II must work 1 hour and 2 hours respectively. To complete one unit of model B, Machine I and II must work..
Eddy works at an automobile servicing center. Each day he earns $27 an..
Eddy works at an automobile servicing center. Each day he earns $27 and an additional of $3 for washing a car. His daily earnings are modeled by the equation, T = $27 + $3 n , where T = total earnings, n = number of cars. Which of the following graphs best suits the situation? =..
Choose a model which is not equivalent to the other models.
Choose a model which is not equivalent to the other models. => Figure 1 or Figure 4 or Figure 2 or Figure 3..
Working Rules to find derivatives
Derivability implies continuity Derivative of a constant function is zero. ..
Worked examples on Ogive
Ogive (Cumulative Frequency Curve) - There are two ways of constructing an ogive or cumulative frequency curve. (Ogive is pronounced as O-jive). The curve is usually of 'S' shape. We illustrate both methods by examples given below: Draw a 'less than' ogive curve for the following dat..
Worked Examples on Simultaneous Equations
Problems on Simultaneous Equations - If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y = 15 Substituting y = 15 in (..
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