H (t) = - 16t ^ 2 + 16t + 480
For this case, the first thing to do is to match the polynomial to zero to find the roots.
We have then:
0 = -16t ^ 2 + 16t + 480
From here, we obtain the following roots of the polynomial:
t1 = -5
t2 = 6
We ignore the negative root because the time is always greater than zero.
Answer:
it takes Rose to hit the water about
t = 6 seconds
Take partial derivatives and set them equal to 0:

We find one critical point within the boundary of the disk at

. The Hessian matrix for this function is

which is positive definite, and incidentally independent of

and

, so

attains a minimum

.
Meanwhile, we can parameterize the boundary by

with

, which gives

with critical points at

At these points, we get


so we attain a maximum only when

, which translates to

.
Amount of fuel in the tank before the story begins . . . . . zero.
Total amount poured in . . . . . 3/4 gallon.
Total amount burned:
on Friday . . . . . 1/4 gallon
on Sunday . . . . 1/4 gallon
Total used . . 1/2 gallon .
Amount remaining in the tank on Monday:
(3/4 gallon in) - (1/2 gallon burned) = 1/4 gallon left.
==> NOT empty
The tank would have been empty on Monday IF Becky
had poured in only 1/2 gallon, instead of 3/4 of a gallon
before the first flakes began to fly.
What are the expressions that are possible you can solve by simplyfiying
A 3x + 2
Step-by-step explanation:
3x+2 is a polynomial.
If the variable in a term of polynomial is multiplied by a number, then this number is called the "coefficient"
It contains a first degree term as highest degree term and one constant term.
coefficient=3
constant=2
variable=x(first degree term)