Consider the following differential equation. (A computer algebra system is recommended.) (1 + t2)y' + 4ty = (1 + t2)−2 (a) Draw
a direction field for the given differential equation.
1 answer:
Answer:
Step-by-step explanation:
a. Draw a direction field for the given differential equation
b. Based on the inspection of the direction field, describe ow solutions behave for large t.
The solution appear oscillatory
All solutions seems to converge to the function y0(t)=4
All solutions seems to converge to the function y0(t)=0
All solutions seems to seems to eventually have negative slopes a and hence decrease without bound
All solutions seems to seems to eventually have positive slopes a and hence increase without bound
C
As t-infinity
All solutions seems to seems to eventually have positive slopes a and hence decrease without bound
All solutions seems to converge to the function y0(t)=0
All solutions seems to seems to eventually have negative slopes a and hence decrease without bound
All solutions seems to converge to the function y0(t)=4
The solution are oscillatory
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Answer:
0.00
Step-by-step explanation:
If the national average score on a standardized test is 1010, and the standard deviation is 200, where scores are normally distributed, to calculate the probability that a test taker scores at least 1600 on the test, we should first to calculate the z-score related to 1600. This z-score is , then, we are seeking P(Z > 2.95), where Z is normally distributed with mean 0 and standard deviation 1. Therefore, P(Z > 2.95) = 0.00