Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = t2 − 2t, 1 + 3t, 1 3 t3 + 1 2 t2 , t = 3

In the following situation, determine whether you are asked to determine the number of permutations or combinations. then do the calculation how many ways are there to pick a starting five from a basketball team of twelve members? a. permutation; ps - 2520 b. combination; 1c, - 792 c. combination: 2cs - 2520 d. permutation; ps - 95040

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.

Linda loans her friend $250 with a 5% monthly intrest rate. how much was the whole loan?