To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
<h3>What is speed?</h3>
Speed can be calculated as the ratio of distance traveled to the time taken.
The speed that a tsunami can travel is modeled by the equation
s = 356√d, where s is the speed in kilometers per hour and d is the average depth of the water in kilometers.
S = 356√d
200 = 356√d
√d = 200/356
= 0.5618
d = 0.5618^2
= 0.316 km
d = 0.32 km.
Thus, The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
Learn more about speed;
brainly.com/question/4723349
Answer:
just take speed =distance ÷time
dustance is speedxtime
14x1.61=22.54÷60 to change to min =0.37km per minute
0.40x0.37= 0.148 km
perhaps I may get wrong
Answer:
4
Step-by-step explanation:
2 plus 6 is 8, 8 divided by 2 is 4
B shows her getting closer to home, immediately turning round, gives time for finding book then riding all the way home at a constant speed
