Find the formula for the total distance traveled by an object with a velocity v(t) = 3t2 – 12 on the interval [0, 4]. o - S (3t° – 12) dt – f† (3t² – 12) dt O - 5 (3t2 – 12) dt + ," (3t² – 12) dt S (3t2 – 12) dt + S“ (3t² – 12) dt o ď (3ť² – 12) dt - S2 (3t² – 12) dt

Q: (sec? t + csc² t) dt

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Q: graph this translation y=2sin2x-3

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Q: A particle moves on an axis “x" with variable speed v(t) starting from t= 0. Calculate for each…

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A: The graph is shown below:

Q: Section 2.6: #2) Find dydk by tmpHet differentiation- Cos Cxy) = 1 + Cin COs

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Q: Find the Hermite equations given the starting point (1,3,1) and ending point (2,5,0). The derivative…

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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.