(4) Show that in general the sum of the roots of a quadratic equation ax? + bx +e=0 b is --whereas the product of the roots of a quadratic equation is

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Chapter2: Second-order Linear Odes
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Question four please
(3) If a projectile is launched into the air at 29.4 feet per second from aheight of 60 feet,
Its height (in feet) is given by S) = 60 + 29.4x – 9.8x", where x is in seconds.
Showing all working, determine:
(a) How long will it take the projectile reach its maximum height?
(b) What is the highest height that the projectile can attain?
(4) Show that in general the sum of the roots of a quadratic equat ion ax? + bx+c = 0
whereas the product of the roots of a quadratic equation is-
(5) The present value that willgive a future value S in 4 years with interest compo und ed annually
varies inversely as the fo urth power of 1 + r, where r is the annual interest rate
If the present value of $1525.79 gives a future value of $2000, what would be the present value
of $10,000 in the future?
Transcribed Image Text:(3) If a projectile is launched into the air at 29.4 feet per second from aheight of 60 feet, Its height (in feet) is given by S) = 60 + 29.4x – 9.8x", where x is in seconds. Showing all working, determine: (a) How long will it take the projectile reach its maximum height? (b) What is the highest height that the projectile can attain? (4) Show that in general the sum of the roots of a quadratic equat ion ax? + bx+c = 0 whereas the product of the roots of a quadratic equation is- (5) The present value that willgive a future value S in 4 years with interest compo und ed annually varies inversely as the fo urth power of 1 + r, where r is the annual interest rate If the present value of $1525.79 gives a future value of $2000, what would be the present value of $10,000 in the future?
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