Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
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A graphing calculator confirms this result.
Answer:
Approximately 
.
Step-by-step explanation:
Convert the angle of this sector to radians:
.
The formula 
relates the arc length 
of a sector of angle 
(in radians) to the radius 
of this sector.
In this question, it is given that the arc length of this sector is 
. It was found that 
radians. Rearrange the equation to find the radius of this sector:
.
The perimeter of this sector would be:
.
Answer:
njnnnnnnn
Step-by-step explanation:
nmkm
The area that's covered by the grass will be 7.065m²
The area of a circle is found by using the formula: = πr²
where, r = radius = 1.5m
π = 3.14
Therefore, to solve the question, we'll slot the value of the radius into the formula and this will be:
Area = πr².
Area = 3.14 × 1.5²
Area = 3.14 × 1.5 × 1.5
Area = 7.065m²
In conclusion, the area is 7.065m²
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