A) See the attached graph. The purple area appears to be what you want to find.
b) Integrating with respect to x seems much easier. If one were to integrate over y, there would need to be two regions of integration: [1, e^2] and [e^2, e^4].
c)
Answer:
The angle is 55°
Step-by-step explanation:
To find the angle at which a bid is looking up on top of a tree that is 10feet tall if the bird is on the ground 7 feet away from the tree, we will follow the steps below:
we will use trigonometric ratio to find the angle
SOH CAH TOA
sinФ = opposite / hypotenuse
cosФ = adjacent / hypotenuse
tanФ = opposite /adjacent
from the diagram below, opposite = 10 feet and adjacent = 7 feet
the best trig.ratio to use is tan
tanФ = opposite /adjacent
tanФ = 10 /7
tan Ф =1.42857
to get the value of Ф, we will take the tan⁻¹ of both-side
tan⁻¹ tan Ф = tan⁻¹ 1.42857
Ф= tan⁻¹ 1.42857
Ф≈55°
Therefore, the angle is 55°
The answer is 53
Do what's inside parentheses first then add or subtract all the numbers together
Answer:
Principal = $1,000
Rate of interest = 14% = 0.14
Time = 3 years

A = Amount or future value
P = Principal
r = rate of interest in decimals
t = time
Substitute the values in the formula


Future Value is $1481.544
Compound interest = Amount - Principal = $1481.544- $1000 = $481.544
Formula of simple interest : 
Substitute the values :


So, Simple interest = $420
Compound interest - Simple interest
= $481.544- $420
= $61.544
So, Compound Interest is $61.544 more than simple interest.
Answer:
Step-by-step explanation:
Add all 4 sides to get perimeter so the first one is 9+9+2+2=22cm
the area is length x width so the first one is 9 x 2 =18cm ^2