Answer:
(a) dp/dx = 90/(x+2)
(b) $2.25
(c) approx = $2.25
exact = $2.22
Step-by-step explanation:
(a) To find the rate of change, differentiate 
with respect to 
:
(b) Find 
when 
:
(c) Approximate price increase associated with the number of units supplied changing from 38 to 39 is when
Exact price increase:
![\implies \left. p \right_{x=39}-\left. p \right_{x=38}\\\\\implies [20 + 90 \ln(2 \times 39 + 4)]-[20 + 90 \ln(2\times38 + 4)]\\\\\implies 416.6047323...-414.3823972...\\\\\implies 2.222335133...\\\\\implies \$2.22](https://tex.z-dn.net/?f=%5Cimplies%20%5Cleft.%20p%20%5Cright_%7Bx%3D39%7D-%5Cleft.%20p%20%5Cright_%7Bx%3D38%7D%5C%5C%5C%5C%5Cimplies%20%5B20%20%2B%2090%20%5Cln%282%20%5Ctimes%2039%20%2B%204%29%5D-%5B20%20%2B%2090%20%5Cln%282%5Ctimes38%20%2B%204%29%5D%5C%5C%5C%5C%5Cimplies%20416.6047323...-414.3823972...%5C%5C%5C%5C%5Cimplies%202.222335133...%5C%5C%5C%5C%5Cimplies%20%5C%242.22)
Heyyy! The answer should be x=5-y
When you say two angles are complementary, they add up to 90 degrees.
Since two angles are the ratio 2:7, you can represent the smaller angle as 2x and the larger as 7x.
add them up as 2x+7x=90
2x+7x=9x 90/9x=10x
the angles are 2x=20 degrees and 7x=70 degrees
so the smaller angle is 20 degrees
Answer:
5x+3
Step-by-step explanation:
