MAC 1147 Trigonometry & Precalculus Algebra Problem Set Due ...
MAC 1147 Trigonometry & Precalculus Algebra Problem Set Due ... MAC 1147 Trigonometry & Precalculus Algebra Problem Set Due ...
MAC 1147 Problem Set Page 24) Find the partial fraction decomposition ofdenominator.)x53x− 5x44+ 2x+ 2x23+ 20x+ 32−10x+ x − 5. (Hint: x = 5 is a zero of the5) A nautical mile equals the length of arc subtended by a central angle of 1 minute (i.e., one-sixtieth[160]of a degree) on the surface of the earth at the equator. Suppose the radius of the earth is 3960(statute) miles.a) Using only the information above (that is, do not consult any outside source or reference to findinformation about the answer), express 1 nautical mile (n.mi.) in terms of ordinary, or statute,miles (mi.). Give answer both exactly and correct to three decimal places.b) Use your result from part (a) to express 1 statute mile in terms of nautical miles. Give answerboth exactly and correct to three decimal places.c) Look up the number of feet in a statute mile. Using the exact-value results above, calculate thenumber of feet in a nautical mile. Which one is longer, a statute mile or a nautical mile? By howmany feet? Give answer both exactly and correct to three decimal places.6) If an object is projected at an angle θ (relative to the horizontal) from ground level with an initial2v0sin( 2θ )velocity v0, the formula x = gives the horizontal distance (or range) x traveled by thegv2sin 20θobject, and the formula y = gives the maximum height y of the object achieved by the2g2object during its flight. The constant g is acceleration due to gravity (either 9.81 m /sec or232 ft /sec , depending on the units of measure being used). Use 1 foot = 0.3048 meters for unitconversions of length. Consider the two configurations:Configuration I: angle of 42° to the horizontal with an initial speed of 130 meters per secondConfiguration II: angle of 50° to the horizontal with an initial speed of 420 feet per seconda) Which configuration results in the farthest range (i.e., farthest horizontal distance from the startingpoint)? How many feet (to the nearest hundredth of a foot) farther is this flight?b) Which configuration results in the highest flight? How many meters (to the nearest hundredth of ameter) higher is this flight?
<strong>MAC</strong> <strong>1147</strong> <strong>Problem</strong> <strong>Set</strong> Page 24) Find the partial fraction decomposition ofdenominator.)x53x− 5x44+ 2x+ 2x23+ 20x+ 32−10x+ x − 5. (Hint: x = 5 is a zero of the5) A nautical mile equals the length of arc subtended by a central angle of 1 minute (i.e., one-sixtieth[160]of a degree) on the surface of the earth at the equator. Suppose the radius of the earth is 3960(statute) miles.a) Using only the information above (that is, do not consult any outside source or reference to findinformation about the answer), express 1 nautical mile (n.mi.) in terms of ordinary, or statute,miles (mi.). Give answer both exactly and correct to three decimal places.b) Use your result from part (a) to express 1 statute mile in terms of nautical miles. Give answerboth exactly and correct to three decimal places.c) Look up the number of feet in a statute mile. Using the exact-value results above, calculate thenumber of feet in a nautical mile. Which one is longer, a statute mile or a nautical mile? By howmany feet? Give answer both exactly and correct to three decimal places.6) If an object is projected at an angle θ (relative to the horizontal) from ground level with an initial2v0sin( 2θ )velocity v0, the formula x = gives the horizontal distance (or range) x traveled by thegv2sin 20θobject, and the formula y = gives the maximum height y of the object achieved by the2g2object during its flight. The constant g is acceleration due to gravity (either 9.81 m /sec or232 ft /sec , depending on the units of measure being used). Use 1 foot = 0.3048 meters for unitconversions of length. Consider the two configurations:Configuration I: angle of 42° to the horizontal with an initial speed of 130 meters per secondConfiguration II: angle of 50° to the horizontal with an initial speed of 420 feet per seconda) Which configuration results in the farthest range (i.e., farthest horizontal distance from the startingpoint)? How many feet (to the nearest hundredth of a foot) farther is this flight?b) Which configuration results in the highest flight? How many meters (to the nearest hundredth of ameter) higher is this flight?
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