Using calculus methods, solve these problems: (a) The velocity, v, of a vehicle, with uniform acceleration, is given by v = (34 + 2) m/s, where t is the
time in seconds.

(i) Derive an expression for the distance travelled, s, by integration

Calculate the distance that the vehicle had travelled before it started accelerating if the total
distance covered in the first three seconds of acceleration was 19.5m by using the expression
derived in part (i)

If olu is twice as old as funmi if the sum of their ages is 60 how old is olu

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset

What is the area of a rectangle with vertices (-8,-2), (-3,-2), (-3,-6), and (-8,-6)? units