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Two forces of 20N and 10N are pulling an object 0 degrees and -30 degrees with respect of x-axis. Draw the resultant vector and use trigonometry to find the magnitude and direction of the resultant force with respect to the x-axis.
For the following curve, find the vector equation of the tangent line at t0, and state the slope of the tangent line at t0. [Note that the slope of a vector v=(v1,v2) is v2/v1].
Solve the questions on graphical representation of linear equations. Show all of your work and plot the graphs using the EZGraph tool.
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
if a ball is thrown vertically upward at 30 m/s, then its approximate height in meters t seconds later is give by (h)t= 30t - 5t^2.
A dance team knows 14 routines of which 7 are tap, 5 are ballet, and 2 are modern. The program can consist of any four routines. In how many ways can the manager choose which routines to present if there are no restrictions?
A wooden artifact from an ancient tomb contains 80 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
A plumber charges customers 48 dollars for each hour worked plus an additionaly 9 dollars for travel. If h represents the number of hours worked. what would be the equation used to calculate the plumbers total charge in dollars?
use the optimality conditions to find all local solutions to the following problem
uare meters. Initially the tank contains 30 cubic meters. Water leaves the tank, starting at t=0, at the rate of 2 + 4 t cubic meters per hour. Here t is the time in hours. What is the depth of water remaining in the tank after 3 hours?
Estimate the population after many months - for example many years into the future.
Based on your research, do you think it is reasonable to expect this house to be worth $220,000. Justify your answer based on appreciation rates in your area.
If you have 260 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
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