continued sum tutorial

Functions can be added, subtracted and multiplied. They can also be divided where the divisor function does not take the value zero. These operations create new functions.Functions can be added, subtracted and multiplied. They can also be divided where the divisor function does not take the value z..

Let f (x) be a single valued continuous function defined in the interval [a,b] where b > 0 and let the interval [a,b] be divided into n equal parts each of length h, so that nh = b - a; then we define ..

Let f be a continuous non-negative function defined on a closed interval [a, b]. Since the value of the function is non-negative, the graph of the function is a curve above X-axis. Let the graph of the curve be as shown in the figure.Let f be a continuous non-negative function d..

David invests a sum of $10,000 in a savings account, which earns 5% annually. If the interest is compounded continuously, what is the amount David gets after 4 years? => $74,000 or $12,000 or $12,214 or $12,240..

In a bank the interest is compounded continuously at the rate of 10 %. About how long does it take for a sum of $ x to double? => 6.9 years or 6.5 years or 6.7 years or 7 years..

A continuous variable can assume all values within a certain range, e.g., height, weight and age of persons are examples of continuous variable..

Continuity at a Point - A function f (x) is said to be continuous at x = a ifA function f (x) is said to be continuous at x = a if f (a) exist..

Continuous variations are minute and non-hereditary. They may be due to influence of the environment or genetic. Variation in height of a human population, number of arms in a starfish, etc. are some example..

These are graded variations that are always found amongst the members of a species with reference to certain characters. Individuals exhibit continuous variations with reference to characteristics like colour, shape, size and body configurations. Such variations have an adaptive value bu..

Three quantities are said to be in proportion if the ratio of the first to the second is equal to the ratio of the second and third. a, b and c are said to be in continued proportion if a:b = b:c If a, b and c are in continued proportion then b (second quantity) is called the m..