two years of local internet service costs $685, including the installation fee of $85 what is the monthly fee?
1 answer:
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(a) Differentiate each of the components to get r'(t). The rule is
.. d/dt (a*e^(bt)) = a*b*e^(bt)
The answer you have shown is the correct one.
(b) See the figure. The red curve is the position r(t) for 0 ≤ t ≤ 2. The dashed orange line is the tangent line, whose equation is
.. L(t) = r(0) +r'(0)*t = (2 +2t)i +(3 -3t)j
.. d/dt (a*e^(bt)) = a*b*e^(bt)
The answer you have shown is the correct one.
(b) See the figure. The red curve is the position r(t) for 0 ≤ t ≤ 2. The dashed orange line is the tangent line, whose equation is
.. L(t) = r(0) +r'(0)*t = (2 +2t)i +(3 -3t)j
Answer:
Step-by-step explanation:
We can do this a couple of ways. We can graph it -- see below. Or we can do the math.
Math
y = x^2 - 2x - 15
This trinomial factors into
y = (x - 5)(x + 3)
from which
x - 5= 0
x = 5
and
x + 3 = 0
x = - 3
The y intercept is the value obtained when all the xs on the right = 0
y = 0^2 - 2*0 - 15
y = - 15
<em>Answer</em>
- x intercepts: (-3,0),(5,0)
- y intercept: (0,-15)
The graph is below.
