Gradients of vectors expressions

See attached file for full problem description. f = r.k/|r^3| What is the gradient of f? Show that for vectors v and r and constant vector a we get: if v=(a.r)r Div(v) = 4(a.r) Curl(v) = a x r

Equation of a Line

1. Tom planted a bamboo on June 1st that was eight feet tall. In June it grew at the rate of five inches per day. Find the equation of the line that shows how tall the bamboo was each day in June. 2. Find the equation of the line that passes through the points (4,-2) and (2,4). 3. Find the equation of the line that passes thr ...continues

Find the median, mean, and standard deviation

Find the median, mean, and standard deviation of 123, 422, 566, 329, 247, 296, 301

Estimating with e

Which of the following expressions would help estimate Please see attachment

Evaluate the integral

The following expression describes the total electric current to pass in the circuit please see attached

Change in temperature

Please see attached

Maximum of a function

See attachment

Amount of natural gas burned is proportional

please see attached

Natural length of a spring

please see attached

As the functon of time...

Please see the attached file.