Hi, i am having trouble with solving this problem and need help. Thank you.  A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet.  f(t)=t^3 - 9t^2 +24t  .  When is the particle speeding up and slowing down using interval notation ? Thank you.

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

The windchill index announced during the winter by the weather bureau measures how cold it "feels" for a given temperature t (in degrees Fahrenheit) and wind speed w (in miles per hour). It is calculated by the formula C(t, w) = 35.74 + 0.6215t - 35.75w 0.16 + 0.4275tw0.16 + '.+ If the temperature is 31 degrees and the wind speed is 10 miles per hour, estimate the change in the windchill temperature if the wind speed increases by 4 miles per hour and the temperature drops by 5 degrees. (Round your answer to two decimal places.)

I + a dx = 9.

QUES A ceiling fan is rotating at 30 revolutions per minute. The length of each fan blade is 3 feet long. Find the linear speed in feet per second. Report below the answer rounded to three decimal places. Your attached work must show your process to obtaining that value. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).

9 coshx - 5 sinhx 15 %3D