Part A — 4 points Write a polar equation of the parabola wh…

Part A — 4 points Write a polar equation of the parabola whose focus is at the pole and vertex at 10,0{“version”:”1.1″,”math”:”10,0″}. Part B — 4 points Is the polar point 403,π3{“version”:”1.1″,”math”:”403,π3″} on the parabola?

Consider the following set of parametric equations: x (…

Consider the following set of parametric equations: x ( t ) = 4 t y ( t ) = 8 t + 5 {“version”:”1.1″,”math”:”\begin{align*} x(t) &= 4\sqrt{t} \\ y(t) &= 8t+5 \end{align*}”} Part A — 5 points Find the derivative dydx{“version”:”1.1″,”math”:”dydx”} in terms of t{“version”:”1.1″,”math”:”t”} using parametric differentiation methods. Write your answer in the first answer box. Part B — 5 points Eliminate the parameter t{“version”:”1.1″,”math”:”t”} to obtain an equation for y{“version”:”1.1″,”math”:”y”} in terms of x{“version”:”1.1″,”math”:”x”}. Write your answer in the second answer box. Note: This part does not utilize the result from Part A. Part C — 5 points Using the original parametric equations as a reference, convert your answer from Part B from a function of t{“version”:”1.1″,”math”:”t”} to a function of x{“version”:”1.1″,”math”:”x”}. Take a standard derivative of this and write your answer in the third answer box.

Your work on a traumatic brain injury unit of the hospital. …

Your work on a traumatic brain injury unit of the hospital. Your client makes occasional sounds or noises, opens his eyes, has minimal response to reflexes and does not appear to be aware of his surroundings.  This person is most likely considered in a level of consciousness called