Please help me thank you so much. Just not sure of my answers
1 answer:
Answer:
An interesting experiment is given. We need to address various questions based on our knowledge of calculus.
Step 2
Part (a)
Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours
Time taken for the radius to become 0 = t2 and the same can be obtained by solving:
r = 2 - √t2 = 0
Hence, t2 = 22 = 4 hours
Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours
Step 3
Part (b)
r(t) = 0.5t for 0 ≤ t ≤ 4
and
r(t) = 2 - √(t - 4) for t > 2
Step-by-step explanation:
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Answer:
And if we compare this value with the speed limit of 35 mi/h then the police officer should believe that the motorist was not speeding, since his speed was lower than 35 mi/hr.
Step-by-step explanation:
Estimate the speed at which the motorist was traveling before braking
For this case we have the following formula for the spped of a car:
Where L represent the length and v the velocity in miles/hr.
For this case we know that a police officer measures the car’s skid marks to be 45 feet long, so then L =45 ft, and we can finde the velocity of the car replacing L=45 ft and we got:
If the posted speed limit is 35 miles per hour and the motorist tells the officer she was not speeding, should the officer believe her? Explain
And if we compare this value with the speed limit of 35 mi/h then the police officer should believe that the motorist was not speeding, since his speed was lower than 35 mi/hr.