The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is measured in meters.

Find the velocity of the particle for t = 7 seconds.

A) 152 m/s

B) 47 m/s

C) 733 m/s

D) 299 m/s

The derivative of the position function gives the velocity function

2 t^3 + 5 t -2    derivative   =   6 t^2 + 5

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

the statemwnt is the company makes small and large snow cone cups.

large=it holds more then the small

small=it holds less then the large