One ship is approaching a port from the east, traveling west (to the left) at 15 miles per hour, and is presently 3 miles east of the port. A second ship is traveling to the north at 10 miles per hour, and is presently 4 miles north of the port. At this instant, what is the rate of change of the distance between two ships? Are they getting closer or further apart? Hint: draw a diagram and differentiate using the Pythagorean Theorem. Then find their present distance apart using the Pythagorean Theorem.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
One ship is approaching a port from the east, traveling west (to the left) at
15 miles per hour, and is presently 3 miles east of the port. A second ship is
traveling to the north at 10 miles per hour, and is presently 4 miles north of the
port. At this instant, what is the rate of change of the distance between two
ships? Are they getting closer or further apart?
Hint: draw a diagram and differentiate using the Pythagorean Theorem. Then find
their present distance apart using the Pythagorean Theorem.
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