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Conclusion Definite Integrals
In this chapter we have studied the properties of definite integrals and application of definite integrals in evaluating the area of plane curves.In this chapter we have studied the properties of definite integrals and application of definite integrals in evaluating the area of plane curves. We hav..
Range of tolerance
Plants and animals show a range of tolerance to environmental factors. The factor, which is present in least amount may become limiting. For example water availability limits plant growth in deserts. But, not only too little of something is a limiting factor, even too..
Plants and animals show a range of tolerance to environmental factors. The factor, which is present in least amount may become limiting. For example water availability limits plant growth in deserts. But, not only too little of something is a limiting factor, even too..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 integrals, ev..
Question 9
Question: Find the equation of the straight line which passes through (4,5) and sum of intercepts on the coordinate axes is 18. Answer: Let the intercept on the x-axis be a, then the intercept on the y-axis will be (18 - a). The line passes through (4,5). ..
Question: Find the equation of the straight line which passes through (4,5) and sum of intercepts on the coordinate axes is 18. Answer: Let the intercept on the x-axis be a, then the intercept on the y-axis will be (18 - a). The line passes through (4,5). ..How do we find the moment of inertia?
Consider a small element of the body. The element should be chosen such that, the perpendicular from different points of the element to the given line differ only by infinitesimal amounts. Let its mass be 'dm' and its perpendicular distance from the given line be 'r'. If we evaluate the product r ..
Consider a small element of the body. The element should be chosen such that, the perpendicular from different points of the element to the given line differ only by infinitesimal amounts. Let its mass be 'dm' and its perpendicular distance from the given line be 'r'. If we evaluate the product r ..Principles of Light Modulation
. These next two sine waves will hardly affect the central bunch, but their sum will be 180 o out of phase with the next set of neighboring bunches. The sum of three sine waves Plot of the relative amplitudes The sum of sine wa..
. These next two sine waves will hardly affect the central bunch, but their sum will be 180 o out of phase with the next set of neighboring bunches. The sum of three sine waves Plot of the relative amplitudes The sum of sine wa..Homework help and personalized tutoring in Geometry
Regular one-on-one online tutoring at TutorVista along with homework help and assistance for special projects and assignments helps students learn the subject faster. Learn about lines, angles and triangle , parallelograms , Pythagoras theorems and more with TutorVista's online Geo..
Angles at a Point
A Corollary is an easy consequence of a theorem. It two lines intersect, then the vertically opposite angles so formed are equal, and When a number of lines meet at a point, the sum of the angles so formed is four right angle..
A Corollary is an easy consequence of a theorem. It two lines intersect, then the vertically opposite angles so formed are equal, and When a number of lines meet at a point, the sum of the angles so formed is four right angle..Justify step 3 in the following indirect proof.Given: Triangle LMNProo..
+ 90 + m ∠ N = 180. Step 5: Solving gives m ∠ N = 0. Step 6: This means that there is no ΔLMN, which contradicts the given statement. Step 7: So the assumption that ∠ L and ∠ M are both right angles must b => Angle addition postulate or Triangle angle - sum theo..
Summary
A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. A statement involving natural number n is generally denoted by P(n). Principle of mathematical induction states that if P(n) is a stateme..
A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. A statement involving natural number n is generally denoted by P(n). Principle of mathematical induction states that if P(n) is a stateme.. Result
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