Write a normal line to the path of the bug

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Reference no: EM131013704

A bug is traveling along a path on the coordinate plane and its position given by the equation f(t) = t sin t + 2.

a. Determine the velocity and acceleration of the bug at any time. t.

b. Write a tangent line to the path of the bug after π seconds.

c. Write a normal line to the path of the bug after π seconds.

d. What is the position of the bug when it's acceleration is π?

e. Determine the jerk of the bug at any time, t.

Reference no: EM131013704

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