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An airplane is flying on a compass heading of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane and find the actual ground speed and direction of the plane.
Given the following 3X3 matrix find the eigenvalues and eigenvectors. Please solve by hand before checking with a computer program!
Connie walks from her home to the bicycle repair shop at 6km/h and then bikes home at 20km/h. If the total traveling time is 39 minutes, how far is it from her home to the repair shop?
In your own words, what are rational expressions? Why is factoring an important part of simplifying a rational expression? Why must we always be mindful of the final value of the denominator in a rational expression?
what are the dimensions of the silo (radius and height of cylindrical tower) that minimize the cost of the material? Assume the silo has no floor and no flat ceiling under the dome.
An equilateral triangle and a regular hexagon have equal perimeters. What is the ratio of the area of the triangle to the area of the hexagon?
If X is a random variable that is uniformly distributed between -pi and pi find the probability density function of sinx.
Use spherical coordinates to find the volume of the solid bounded by the sphere p(rho)=6cos(phi) and the elliptical cone Z= SQ Root(2x^2+3y^2)
A radio transmission tower is 322 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 23o with the ground? How many feet long should the guy wire be? Round your answer to the nearest foot and do not write the uni..
The air resistance to the jumper is a( ?v) where ?(v)= √(vx^2+vy^2) is the magnitude of jumper's velocity. Please compute the jumper's velocity as a function of height.
A business school claims that the average income of graduates of this school three years after graduation is $700.
you are reducing a map of dimensions 2ft by 3ft to fit to a piece of paper 8 in by 10 in. What are the dimensions of the largest possible map that can fit on the page.
Find an equation for the sphere centered at (2, -4, -1) that is tangent to the y-z coordinate plane.
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