d4 -2-4t where t is the number of dt 11. The rate of change of the area covered by an ant colony is given by days and the area is measure in square inches. If the size of the ant colony at t = 0 was 82 in?, find the area covered by the ant colony after 6 days.

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Q: Q3:) The point moving on the curve y = x³ - 3x+ 5, such that * +3, where (t) represents time. What…

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Q: 4. The position of an fictitious particle moving in a straight line, in metres, is described by the…

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A: We are allow to solve only one question at a time  Thank you for your question

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Q: The depth of the water in a tank is changing at a rate of r)= 3 In(t). t centimeters per minute…

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Q: 5t P(t) = 410 ( 1 + %3D 54 + t2) P'(2) : bacteria/hour

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A: use differentiation for finding the answer.

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Q: The number of bacteria in a culture is given by the function n(t) = 955eº. where t is measured in…

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Q: A drag racer accelerates at a(t) = 88 ft/s2. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

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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.