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An airplane is flying in the direction of 145 degrees with an airspeed of 550mph, and a 40 mph wind isblowing in the direction of 64 degrees. Approximate the ground speed and true course of the airplane.
When a large shipment of alternators is received at the plant, 100 are tested, if more than two are nonconforming, the shipment is returned to the alternator manufacturer. What is the probability of returning a shipment?
Determine the form of a particular solution for the differential equation. ( Do not evaluate coefficients).
You attend a Karaoke night and hope to hear you favorite song. There are 300 different songs in the karaoke (and your favorite is among the 300). Assuming the singers are equally likely to pick any song and no song is repeated
A triangular plate with height 3 ft and a base of 4 ft is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correc..
What is the largest domain over which this function is defined? For this domain, what is the corresponding range of the function?
Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t years.
A test vehicle on a track goes through photo gates spaced 25 m apart at the following times: 2.00 sec, 3.30 sec, 4.30 sec. Plot the position versus time of the vehicle. Plot the average speed of the vehicle in the time intervals versus time.
Suppose that you possess some of a radioactive substance that has a half-life of 21 days. What fraction of the substance will remain after 105 days?
Find the volume V obtained by rotating the region bounded by the given curves about the specified axis.
To pour a concrete sidewalk takes 2 hours of preparation nd 3 hours of finishing. To pour a concrete patio takes 4 hours of preparation and 3 hours of finishing. ABC Concrete Company makes a profit of $450 on a sidewalks and $700 on a patio.
The formula d = , where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
What is a mathematical model? Explain in your own words. What are some examples of mathematical models that we can use when working with quadratic functions? (Minimum 300 words).
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