Answer:
The radius of the circle is 4 meters.
Thus, 2nd option is correct.
Step-by-step explanation:
Given
Area of a circle = 16π squared meters.
To determine
The radius of the circle = r = ?
Using the formula
Area of circle = πr²
substitute Area of circle = 16π and in the equation
16π = πr²
switch the sides
πr² = 16π
divide both sides by π
πr²/π = 16π / π
r² = 16
r = 4, r = -4
As radiud can not be negative, so
r = 4 meters
Therefore, the radius of the circle is 4 meters.
Thus, 2nd option is correct.
Answer:
C. The expression represents 5 times 3 minus <em>c</em>.
The nautical chart of a harbor is a <span>graphic representation of a maritime area and adjacent coastal regions that </span><span>contains information of that harbor that are very helpful for the sailing/merchant enthusiasts for planning their boat trip.
So, on the nautical chart of a harbor the following information should be included:
- water depth
- obstructions that may occur
- list of </span>places where you might encounter bridges.
Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)
Evaluate the derivative at <em>x</em> = -1 :
d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
<em>y</em> - 4 = 4 (<em>x</em> - (-1)) → <em>y</em> = 4<em>x</em> + 8