What angle should the wedge for ranch have?
1 answer:
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Answer:
(Missing part of the question is attached)
Estimates are too large.
Step-by-step explanation:
Suppose the only information we know about the function is:
where the graph of its derivative is shown in the attachment
<h3>(a)</h3>If the function is differentiable at point
, the tangent line to the graph of
at 1 is given by the equation:
So we call the linear function:
We know the as it is given in the question, and
from the graph attached. Substitute in the equation of
.
At x=1, is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve
. Thus, The estimates are too large.
In an arithmetic sequence, the difference between consecutive terms is constant. In formulas, there exists a number such that
In an geometric sequence, the ratio between consecutive terms is constant. In formulas, there exists a number such that
So, there exists infinite sequences that are not arithmetic nor geometric. Simply choose a sequence where neither the difference nor the ratio between consecutive terms is constant.
For example, any sequence starting with
Won't be arithmetic nor geometric. It's not arithmetic (no matter how you continue it, indefinitely), because the difference between the first two numbers is 14, and between the second and the third is -18, and thus it's not constant. It's not geometric either, because the ratio between the first two numbers is 15, and between the second and the third is -1/5, and thus it's not constant.