Answer:
5
Step-by-step explanation:
To solve with calculus, distance is the integral of speed:
d = ∫ |v| dt
d = ∫₀⁴ |t − 3| dt
d = -∫₀³ (t − 3) dt + ∫₃⁴ (t − 3) dt
d = ∫₀³ (3 − t) dt + ∫₃⁴ (t − 3) dt
d = (3t − ½ t²) |₀³ + (½ t² − 3t) |₃⁴
d = [ (9 − 9/2 ) − (0 − 0) ] + [ (8 − 12) − (9/2 − 9) ]
d = 9/2 + 1/2
d = 5
You can also find this geometrically. Graph y = |x − 3|, then find the area under the curve. You will find it's the area of two triangles.
d = ½ (3)(3) + ½ (1)(1)
d = 5
It's important to note that distance is not the same thing as displacement. Displacement is the difference between where you start and where you stop. Distance is length of the path you take.
Answer:
y= -4x + 21
Step-by-step explanation:
Answer:let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.
Step-by-step explanation:
Answer:
The area is changing at 2 m²/d.
Step-by-step explanation:
The area of a rectangle is given by:
Where:
l is the length
w is the width
We have that the length is increasing at a rate:
And the width is decreasing at a rate:
The change in the rectangle's area is the following:
When the length is 8 meters and the width is 18 meters we have:
Therefore, the area is changing at 2 m² per day.
I hope it helps you!
Step-by-step explanation:
In box, write 170.
Hope it helps.