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The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 50 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction N60°E at an airspeed (speed in still air) of 200 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.
where t is the time. If the mass is initially at equilibrium and has a velocity of +1 m/sec, find its displacement as a function of time.
$5900 is invested, part of it at 10% and part of it at 6%. For a certain year, the total yield is $478.00. How much was invested at each rate?
ompare the two forecasts by using MAD. Which forecast appears to be more accurate? .
a certain airline claims the 95% of its flights arrive on time. What is the probability that the propoportion of flights in the sample that arrive on time will be greater than .94?
two fire towers are 30 kilometers apart, tower A is due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14'N and W 34'N. Find the distance d of the fire.
Draw a picture of every tree with 1, 2, 3, 4, 5, or 6 vertices. Just include one copy of each tree - that is to say you should eliminate any trees that are isomorphic to others on your list.
Matrix Representation of a Linear Transformation, For the problem, refer to the linear transformation T
Given a line L and a point A in the plane, construct the line perpendicular to L that passes through A.
The formula b=26a is used in New England to estimate the minimum furnace output,b,in BTUS. for a modern house with a square feet of flooring.
How do you write a system of linear equations in two variables? Explain this in words and by using mathematical notation in an equation.
Its center of mass is located at a distance of s=0.120 m from the center of the circle. If the disk is allowed to oscillate side to side as a pendulum, what is the period of oscillations?
Solving problems on permutation and combination
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