Answer:
C.
Step-by-step explanation:
> is a dotted line and the area above it is shaded
< is a dotted line and the area below it is shades
≥ is solid line with the area above shaded
≤ is a solid line with the area below it shaded
The graph shows characteristics of ≥, and C is the only answer with ≥ in it
Answer:
x = 3
Step-by-step explanation:
Because yes
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
We can find the base by solving equation (1) for b:
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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Answer:
Step-by-step explanation:iii
