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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..

1. We say that f(x) is continuous if f(x) is continuous at every point in its domain. 2. If f and g are two continuous functions then f + g, f - g, fg are continuous functions. 3. Every polynomial function is continuous. 4. E..

1. We say that f(x) is continuous if f(x) is continuous at every point in its domain. 2. If f and g are two continuous functions then f + g, f - g, fg are continuous function..

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

Consider an example. A person was asked to measure the thickness of a coin. He recorded the following readings: (i) 0.2 cm with ruler (ii) 0.23 cm with vernier (iii) 0.231 cm with micrometer The accuracy of thickness of the coin depended on the instrument used for measuring the thickness. Thus the..

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..