As

increases, [y] is expected to increase.
As a improper fraction, its 127/100
In this question (brainly.com/question/12792658) I derived the Taylor series for
about
:

Then the Taylor series for

is obtained by integrating the series above:

We have
, so
and so

which converges by the ratio test if the following limit is less than 1:

Like in the linked problem, the limit is 0 so the series for
converges everywhere.
Answer:
15°.
Step-by-step explanation:
1. Angles ADC and CDB are supplementary, thus
m∠ADC+m∠CDB=180°.
Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.
2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then
m∠CDB=m∠CBD=65°.
The sum of the measures of interior angles of triangle is 180°, therefore,
m∠CDB+m∠CBD+m∠BCD=180° and
m∠BCD=180°-65°-65°=50°.
3. Triangle ABC is isosceles, with base BC. Then
m∠ABC=m∠ACB.
From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So
m∠ACB=65°.
4. Angles BCD and DCA together form angle ACB. This gives you
m∠ACB=m∠ACD+m∠BCD,
m∠ACD=65°-50°=15°.
Have a good Day!
Answer:
The highest recorded temperature in colorado is 118 degrees F.
Step-by-step explanation:
We have to model this problem initially.
I am going to call the highest recorded temperature in Colorado x.
The highest recorded temperature in hawaii is 100 degrees F. The highest recorded temperature in colorado is 18 degrees higher than that of hawaii.
This means that x is 18 added to 100. So


The highest recorded temperature in colorado is 118 degrees F.