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Following is some more common functions that are "nice enough".
The last bullet is significant. It means that for any combination of these functions all we have to do is evaluate the function at the point in question, ensuring that none of the restrictions are violated. It means that now we can do a large number of limits.
A set can define as a precise group of distinct objects. Well-defined group means that there be a principle with the help of which it is probable to tell whether a given object rel
circumference of a circle
Using the example provided, Evaluate the area of the shaded region in terms of π. a. 264 - 18π b. 264 - 36π c. 264 - 12π d. 18π- 264 b. The area of the shaded r
The base of a right cylinder is the circle in the xy -plane with centre O and radius 3 units. A wedge is obtained by cutting this cylinder with the plane through the y -axis in
Solving an equation using Multiplication and Division A variable is a symbol that represents a number. Usually we use the letters like n , t , or x for variables. For
The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m3. Find the rate of change of the volume of grains in the silo from first princ
So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable
Example of Integration by Parts - Integration techniques Illustration1: Evaluate the following integral. ∫ xe 6x dx Solution : Thus, on some level, the difficulty
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
Find the largest possible positive integer that will divide 398, 436, and 542 leaving remainder 7, 11, 15 respectively. (Ans: 17) Ans: The required number is the HCF of the n
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