I suppose you mean
Recall that
which converges everywhere. Then by substitution,
which also converges everywhere (and we can confirm this via the ratio test, for instance).
a. Differentiating the Taylor series gives
(starting at because the summand is 0 when )
b. Naturally, the differentiated series represents
To see this, recalling the series for , we know
Multiplying by gives
and from here,
c. This series also converges everywhere. By the ratio test, the series converges if
The limit is 0, so any choice of satisfies the convergence condition.
Answer:
12 miles per hour
Step-by-step explanation:
Answer:
idk ask someone else
Step-by-step explanation:
idk bro sorry
Eliminate the y’s via elimination (subtract both of the equations):
x^2 - x = 6
x^2 - x - 6 = 0
Factor the quadratic:
(x - 3)(x + 2) = 0
Set each equation equal to 0 and solve.
x - 3 = 0 , x + 2 = 0
x = 3 , x = -2
Plug in the 1st value for x into the second equation:
3 - y = -3
-y = -6
y = 6
Plug in the second value for x into the second equation:
-2 - y = -3
-y = -1
y = 1
Answer:
{(3,6)}
or
{(-2,1)}
We know that
The residual value is the observed value minus the predicted value.
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]
where
Predicted value.--> the predicted value given the current regression
equation
Observed value. --> The observed value for the dependent
variable.
in this problem
predicted value for x=3 approximate y=3.6
observed value is for x=3 y=5
so
RESIDUAL VALUE=[5-3.6]------> 1.4
the answer is
<span>
the best estimate of the residual is 1.5</span>