find the equation of the following table of values:
t 0 1 2 3 4 5
v 1.5 1.3 1.4 2.0 2.4 2.7
where v is the velocity in m/s and t is time

- anonymous

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- amistre64

it might be quadratic, let me check...

- anonymous

ok thanks

- amistre64

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- anonymous

how am i supposed to use it lol

- amistre64

well, since i designed it, i think its quite intuitive lol

- amistre64

you have places to put in your data points; a quad only needs 3 data points to figure out; .....

- amistre64

the "how many we need to find" box is for an additional 'x' data point to either test or determine

- amistre64

this data doesnt match precisely to a quad tho; its close, but not exact

- amistre64

i used the end points and the middle and asked it to determine the intermediates and it didnt match exactly

- anonymous

i see could it be an exponential

- amistre64

with up to 5 points here, we could try to match it to an x^4 graph..... but yes, exponential is a likely possibility

- amistre64

no... not likely; the first and second and third points make a dip...

- amistre64

exponents dont dip lol

- anonymous

oh yeah woops

- amistre64

most likely a cubic ..... perhaps

- amistre64

do we have options?

- amistre64

i aint designed a cubic finder yet lol same principles; but with 4 poijts for reference and a new set of algorithms to figure out

- anonymous

no but i can write the whole question up if it clears anything

- amistre64

yes, all the info is better than just part of it :) you may have inadvertently left out some pertinent piece

- anonymous

An object is moving along the x-axis with values of the velocity v in m/s at time t given in the table above. Given that the distance traveled may be found by calculating the area under a velocity/time graph, use the trapezoidal rule to estimate the distance traveled by the particle in the first five seconds.

- amistre64

....... well then, lets use the trap rule lol

- anonymous

yeah i intend on using the trapezoidal rule after finding the equation of the graph

- anonymous

i think you need that first

- amistre64

why do the trap after finding an equation?

- amistre64

the directions clearly sate; use this info and apply the trap rule... i see no need to complicate it :)

- anonymous

but you can use the trapezoidal rule without an equation i believe lol

- anonymous

actually wait i think im very wrong lol

- amistre64

the trap rule, as well as the simpson rule, and all the other numerical analysises are for estimating to a certain degree of precision what integration does with precision when you CANT integrate

- anonymous

ok wait let me attempt it i think i over complicated for no reason

- amistre64

oh theres a reason.. but thats best suited for openstudy psychology lol

- anonymous

lol

- anonymous

omg i got the right answer im such an idiot

- amistre64

kinda paradoxal... your an idiot when you get the right answer ;)

- anonymous

lol thanks for your help

- amistre64

youre quite welcome ;)

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