Provide an appropriate response.If the position of a particle moving along the x-axis at a given time is given by x(t) = t3, find all the higher-order derivatives of this function.

What will be an ideal response?


x'(t) = 3t2, x''(t) = 6t, x'''(t) = 6, x(4)(t) = 0. All successive derivatives are also 0.

Mathematics

You might also like to view...

The graph of a function f is given. Use the graph to answer the question.What are the x-intercepts?

A. -10, -6, 7, 10 B. -6, 7 C. -6 D. -6, 7, 10

Mathematics

Change the given quantity to the indicated unit. Round the answer to the nearest tenth of the unit if necessary.11 lb ?    g

A. 4620.0 g B. 5115.0 g C. 4994.0 g D. 4950.0 g

Mathematics

Factor the trinomial completely.-49x2 - 14x + 15

A. -(7x - 5)(7x + 3) B. -(7x + 5)(7x - 3) C. -(7x - 5)(7x - 3) D. (7x + 5)(7x + 3)

Mathematics

Substitute the given values into the formula and then evaluate to find the unknown quantity. Label units in your answer. If the answer is not exact, round your answer to the nearest hundredth.V = Bh; V = 24, h = 3

A. 8 units B. 27 units C. 72 units D. 24 units

Mathematics