2. An isosceles triangle has legs 10 cm. The base decreases at the rate of 4 cm/sec. Find the rate of change of the angle at the apex when the base is 16 cm.

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Q: An inverted conical water tank with a height o 6 ft and a radius of 3 ft is drained through a hole…

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Q: A 13-foot ladder is leaning against a house when its base starts to slide away. By the time the…

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Q: if the base of triangle is constantly 4 cm find the rate at which the area of the triangle is…

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Q: 1. A 15-meter ladder is resting against a vertical wall. If the bottom of the ladder is being pushed…

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A:

Q: 20. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the…

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Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

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Q: The radius, r, of a circle is decreasing at a rate of 4 cm/sec. Find the rate of change of the area,…

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Q: A spherical snowball melts at a rate proportional to its surface area. Show that the rate of change…

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Q: Given a cylinder surmounted on both ends by a hemisphere, find the rate of change of its volume with…

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Q: The radius of a circle is increasing at the rate of 0.7 cm/s. what is the rate of

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Q: 16. If the radius of a circle is increasing at the rate of 4 cm/s, find the rate of the increase in…

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Q: The radius of a circle is increasing at a constant rate of 0.2 meters per second. What is the rate…

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Q: A 10​-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Given: A 10​-ft ladder is leaning against a house when its base starts to slide away. By the…

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Q: 7. A vertical cylinder is leaking water at a rate of 1 ft'/sec. If the cylinder has a height of 10…

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Q: . A kite 100 ft above the ground moves horizontally at aspeed of 8 fts. At what rate is the angle…

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.