continued sum


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In an equilateral triangle of side 14 cm, the mid points of the sides ..
In an equilateral triangle of side 14 cm , the mid points of the sides are joined to form another triangle. Again the midpoints of the sides of new triangle are joined to form another triangle. If this is continued, find the sum of the perimeters of all the triangles so formed. ..
Functions Limits and Continuity
Functions Limits and Continuity - 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 th..
David invests a sum of $10,000 in a savings account, which earns 5% an..
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..
Definite Integral as a Limit of Sum
Definite Integral as a Limit of Sum - 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 b..
Definite Integral as a Limit of Sum
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..
Introduction
Heat is a form of energy. Heat energy is also called thermal energy. When heat is given to a body, its temperature increases and when heat is removed from a body, its temperature decreases. Heat is a measurable quantity. The measurement of the quantity of heat is called calorimetry. Every substance..
Organism and Environment
components of the biosphere Each and every living organism has its specific surrounding medium of environment with which it continuously interacts and remains fully adapted. The environment is the sum total of physical and biotic conditions influencing the responses of the organisms. The life supporting en..
Kirchhoff's Loop Rule
kirchhoff s loop rule The algebraic sum of the potential differences in any loop including those associated with emfs and those of resistive elements must be equal to zero...
Kinetic Theory of Matter
This theory explains the physical properties of matter in terms of motion of its molecules. According to this theory, every substance (solid, liquid or gas) consists of a large number of minute particles called molecules . A molecule may be defined as the smallest particle of a substance that can e..
Heat and Motion (Kinetic Theory of Heat)
Under normal conditions matter exists in three forms: solid liquid gas Matter is made up of atoms and molecules. These atoms in molecules are in a state of continuous motion. For example, molecules and atoms of a solid can have only vibrational motion, because they are held in their posit..
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