The distance of plane from the origin is 357.14 miles
<u>Explanation:</u>
Given:
distance traveled southwards, y = 600 miles
Distance traveled east of south, z = 250 miles
Angle, θ = 35°
Distance of plane from the origin, x = ?
The figure is attached for reference:
tan θ = Perpendicular / base
tan θ = distance travelled east of south / x
tan 35° = 250 / x
we know,
tan 35° = 0.7
So,
Therefore, the distance of plane from the origin is 357.14 miles
Derivatives can be calculated from graphed functions.
The values of the derivatives are:
The given parameter is:
Start by calculating the equations of f(x) and g(x)
<u>Graph f(x)</u>
The slopes of f(x) are: 3/2 and -3/2
So, the equations are:
<u>Graph g(x)</u>
The slope of g(x) is: -1/2
So, the equation is:
<u>For x = 1 and x = 2, we have:</u>
So, we have:
Where:
and
becomes
Open brackets
Differentiate
So:
For x = 3, we have:
Where:
and
becomes
Differentiate
Substitute 3 for x
Hence, the values of the derivatives are:
,
and
Read more about graphed functions at:
Answer:
r = 9.8475 in
Step-by-step explanation:
We assume that the ball is spherical.
The volume of a spherical ball is:
We know that:
Then
Below is the graph of the cubic function
