The function ​v(t) = t3 – 5t2 + 6t , is the velocity in​ m/sec of a particle moving along the​ x-axis. Complete parts​ (a) through​ (c).a. Determine when the motion is in the positive direction and when it is in the negative direction.b. Find the displacement over the given interval.c. Find the distance traveled over the given interval.a __________________ b _____________________ c ___________________

Here is the graph of a derivative. The following are questions about the original function, f. a)  Where is f increasing?b)  Which is greater f(4) or f(5)?c)  Where does f have a local minimum?d)   Where is f concave down?

Solve the problem.At time t, the position of a body moving along the s-axis is m. Find the body’s acceleration each time the velocity is zero.

MATCH each description in column A with the appropriate graph from column B. Note: There are 7.

Consider the graph of f(x) = ex + 7For each of f, f ‘, and f ”, determine intervals which are positive, negative or zero. EXPLAIN your answers. f _____________ f ‘ _____________ f ” _____________

Interpret the ECG using the options below: Picture15.png If you choose an answer option with a * you MUST also select the correct underlying rhythm to get the full point

Interpret the ECG using the options below: Picture12.png If you choose an answer option with a * you MUST also select the correct underlying rhythm to get the full point

A rectangular storage container with a square base and a cover is to have a volume of 3024 cubic feet. If the cost of material is $3 per square foot for the bottom, $4 per square foot for the top, and $2 per square foot for the sides, what should the dimensions of the container be in order to minimize the cost of the material? What is the cost? Show all work steps on scrap.a. ____________________________ b. ________________________________

A patient who has hypertension has been taking a thiazide diuretic for 8 years. The patient has a serum uric acid level of 8 mg/dL (normal is less than 6). What should the primary care nurse practitioner (NP) caring for this patient do?

A 56 y/o man diagnosed with a MRSA infection reports that he has alwasy completed every antibiotic and has always followed the instructions.  Why is he now experiencing antibiotic resistance?