A sphere is expanding with time. Assume that the volume of the sphere is y = r(t) = t + 2. What is the formula for the rate of change of the volume of the balloon. with respect to time? %3D

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A: The radius of the sphere is increasing at a rate of 5mm/sits diameter is 80 mm

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Q: Assume a circle is expanding with time, where r = t + 2. What is the formula for the rate of change…

A: Given: r = t + 2   We know that the area of the circle: A = π r2   where r is radius.

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

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Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: Given,Surface area is decreasing at rate = 3 cm2 per minDiameter of the snowball (d) = 11 cm

Q: 2. The edge of a cube decreases at a rate of 1.5m/s. Find the rate at which the surface area…

A: Solution Calculate the area of cube

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.