Find the radius of convergence and the interval of convergence of the power series.


Mathematics

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Solve the problem.A projectile is fired from a cliff 100 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 380 feet per second. The height h of the projectile above the water is given by  where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?

A. 1228.13 ft B. 1128.13 ft C. 3484.38 ft D. 2256.25 ft

Mathematics

Add. Do not use a number line except as a check.-96 + (-3)

A. -93 B. -99 C. 99 D. 93

Mathematics

Find all cube roots of the complex number. Leave answers in trigonometric form.-125i

A. 5 cis 90°, 5 cis °210, 5 cis 330° B. 5 cis 30°, 5 cis °60, 5 cis 90° C. 5 cis 90°, 5 cis °180, 5 cis 270° D. 5 cis °210, , 5 cis 270°, 5 cis 330°

Mathematics

A woman rides a bicycle for 2 hours and travels 32 kilometers (about 20 miles). Find the angular velocity of the wheel if the radius is 30 centimeters. ?

A. 675 rad/min B. 861 rad/min C. 738 rad/min D. 889 rad/min E. 988 rad/min

Mathematics