Answer:
Is this in Pearson Easybridge?
Step-by-step explanation:
Answer:
ANSWER IS BELOW
Step-by-step explanation:
Find the properties of the given parabola.
Tap for more steps...
Direction: Opens Up
Vertex:
(
0
,
0
)
(0,0)
Focus:
(
0
,
3
4
)
(0,34)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
−
3
4
y=-34
Select a few
x
x
values, and plug them into the equation to find the corresponding
y
y
values. The
x
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
xy-243-1130011333
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
0
)
(0,0)
Focus:
(
0
,
3
4
)
(0,34)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
−
3
4
y=-34
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
xy-243-1130011333
9514 1404 393
Answer:
- maximum: 15∛5 ≈ 25.6496392002
- minimum: 0
Step-by-step explanation:
The minimum will be found at the ends of the interval, where f(t) = 0.
The maximum is found in the middle of the interval, where f'(t) = 0.
![f(t)=\sqrt[3]{t}(20-t)\\\\f'(t)=\dfrac{20-t}{3\sqrt[3]{t^2}}-\sqrt[3]{t}=\sqrt[3]{t}\left(\dfrac{4(5-t)}{3t}\right)](https://tex.z-dn.net/?f=f%28t%29%3D%5Csqrt%5B3%5D%7Bt%7D%2820-t%29%5C%5C%5C%5Cf%27%28t%29%3D%5Cdfrac%7B20-t%7D%7B3%5Csqrt%5B3%5D%7Bt%5E2%7D%7D-%5Csqrt%5B3%5D%7Bt%7D%3D%5Csqrt%5B3%5D%7Bt%7D%5Cleft%28%5Cdfrac%7B4%285-t%29%7D%7B3t%7D%5Cright%29)
This derivative is zero when the numerator is zero, at t=5. The function is a maximum at that point. The value there is ...
f(5) = (∛5)(20-5) = 15∛5
The absolute maximum on the interval is 15∛5 at t=5.
Answer:
125.141
Step-by-step explanation:
Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.
17 is our hypotenuse
17/2 = 8.5, this is one of our legs
The other leg is our height, which we will find.
We use Pythagoras Theorem to find the height/leg: 

= 14.72243186
Now, we use another formula to find the area of the triangle: 
14.72243186 × 17 = 250.2813416
250.2813416 ÷ 2 = <u>125.1406708</u>