The volume of a cube is increasing at the rate of 8 cm³/s. How fast is the surface area increasing when the length of an edge is 12 cm?

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A man 2 metres tall walks away from a lamp post 5 metres height at the rate of 4.8 km/hr. The rate of increase of the length of his shadow is

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The radius of a circular plate is increasing at the rate of 0.01 cm/sec. The rate of increases its area when the radius is 12 cm is

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The radius of a sphere is increasing at the rate of 0.2 cm/sec. The rate at which the volume of the sphere increases when radius is 15 cm, is

Using differentials, find the approximate values of:

Find the approximate values of

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In a sphere the rate of change of volume is

Using differentials, find the approximate values of:

Find the approximate values of

The total cost C (x) associated with the production of x units of an item is given by C (x) = 0.007 x³ – 0.003x² + 15x + 4000. Find the marginal cost when 17 units are produced.

The radius of a spherical soap bubble is increasing at the rate of 0.2 cm/sec. Find the rate of increase of its surface area, when the radius is 7 cm.

The radius of an air bubble is increasing at the rate of 0.5 cm/sec. At what rate is the volume of the bubble increasing when the radius is 1 cm?

The side of a square is increasing at the rate of 0.2 cm/sec. Find the rate of increase of the perimeter of the square.