Amass that weighs 8 lb stretches a spring 24 in. the system is acted on by an external force of 4sin(4t). if the mass is pulled down 6 in and then released, determine the position of the mass at any time t. assume that the u-axis is directed downwards and g=32 ft/s^2. express your answer in as a linear combination of sin(at)and cos(at).

Which point lies on a circle with a radius of 5 units and center at p(6, 1)?

Me with this assignment ! i only partially understand, so explain. also it's a work sample. at the championship bike race, steve and paula were fighting for first place. steve was 175 feet ahead of paula and had only 300 feet left to go. he was very tired and was going only 9 feet per second. paula was desperate to catch up and was going 15 feet per second. who won the bike race and by how far did she/he win?

Which of the following statements is true? a. the irrational number system is not closed under multiplication, because the product of two irrational numbers is always a rational number. b. the irrational number system is not closed under multiplication, because the product of two irrational numbers is not always an irrational number. c. the irrational number system is closed under multiplication, because the product of two irrational numbers is always an irrational number. d. the irrational number system is closed under multiplication, because the product of two irrational numbers is always a rational numbers. reset submit