Given that the acceleration vector is a(t)=(−1cos(1t))i+(−1sin(1t))j+(3t) k, the initial velocity is v(0)=i+k, and the initial position vector is r(0)=i+j+k, compute:

The Velocity Vector v(t): _ i + _ j +_k

The position vector r(t): _i + _ j + _k

Note: the coefficients in your answers must be entered in the form of expressions in the variable \emph{t};

Given that (x-3) is a factor of f(x)=x^3+ax^2-x-6, find a and hence the number of real roots or the equation f(x)=0

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers. using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. ab = 8 bc = 4 cd =

You use math in day-to-day routines when grocery shopping, going to the bank or mall, and while cooking. how do you imagine you will use math in your healthcare career?