Applications Differential Equations
As we have mentioned earlier that almost every branch of study deals with problems involving differential equation, in this section we solve few examples to exhibit the application of differential equation in various branches of knowledge.As we have mentioned earlier that almost every bra..
Conclusion Differentiation
Conclusion Differentiation - In this chapter, we have studied various techniques of differentiation. Also, we have studied the method of obtaining higher order derivatives of functions which is useful in maxima and minima problems.In this chapter, we have studied various techniques of dif..
Applications Differential Equations
Applications Differential Equations - As we have mentioned earlier that almost every branch of study deals with problems involving differential equation, in this section we solve few examples to exhibit the application of differential equation in various branches of knowledge.As we have m..
Definite Integrals
Differentiation deals with the rate of change while integration deals with the total change. The definite integrals are evaluated in problems relating to plane, areas, areas and volumes of solid of revolution etc. In this chapter, we confine ourselves to properties of definite int..
Definite Integrals
Definite Integrals - Differentiation deals with the rate of change while integration deals with the total change. The definite integrals are evaluated in problems relating to plane, areas, areas and volumes of solid of revolution etc. In this chapter, we confine ourselves to properties of..
Solution:
According to the problem Integrating, we have y = x 2 c This is the family of equations with parameter. The family of curves is represented by y = x 2 c, since one of these curves passes through (3,- 4), we have 4x 2 +..
According to the problem Integrating, we have y = x 2 c This is the family of equations with parameter. The family of curves is represented by y = x 2 c, since one of these curves passes through (3,- 4), we have 4x 2 +..Indefinite Integrals Introduction
Introduction - During the course of study of Mathematics, we must have come across several parts of inverse operations like (addition, subtraction) (multiplication, division) (forming an equation whose roots are given - solving a given equation) and so on. In practical situations, we may be interes..
Introduction - During the course of study of Mathematics, we must have come across several parts of inverse operations like (addition, subtraction) (multiplication, division) (forming an equation whose roots are given - solving a given equation) and so on. In practical situations, we may be interes..Solution:
Let the initial population be P 0 and P be the population of the colony at any instant t. Then according to the problem when t = 0, P= P 0 Equation (1) becomes log P = kt + log P 0 .(2) when P 0 is doubled, P = 2P 0 where t = 50 days From equation (2) log (2 P 0 ) = 50 k + lo..
Let the initial population be P 0 and P be the population of the colony at any instant t. Then according to the problem when t = 0, P= P 0 Equation (1) becomes log P = kt + log P 0 .(2) when P 0 is doubled, P = 2P 0 where t = 50 days From equation (2) log (2 P 0 ) = 50 k + lo..Solution:
Let m 0 be the moisture content initially and let m be the moisture content after t hours. According to problem: when t = 0, m= m 0 log m = kt + log m 0 ..
Let m 0 be the moisture content initially and let m be the moisture content after t hours. According to problem: when t = 0, m= m 0 log m = kt + log m 0 ..Conclusion
In this chapter we have learnt the application of derivatives to rate measure, also we have used the geometrical measurement of to find the equations of the tangent and normal to a curve at any point on the curve, angle of intersection of the curves. The derivatives also help in examining the behav..
In this chapter we have learnt the application of derivatives to rate measure, also we have used the geometrical measurement of to find the equations of the tangent and normal to a curve at any point on the curve, angle of intersection of the curves. The derivatives also help in examining the behav..See what our Users say :
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