Mathematics, 17.04.2020 03:55 tcraig833
(a) What can you say about a solution of the equation y' = −(1/2)y2 just by looking at the differential equation? The function y must be increasing (or equal to 0) on any interval on which it is defined. The function y must be equal to 0 on any interval on which it is defined. The function y must be strictly decreasing on any interval on which it is defined. The function y must be decreasing (or equal to 0) on any interval on which it is defined. The function y must be strictly increasing on any interval on which it is defined. (b) Verify that all members of the family y = 2/(x + C) are solutions of the equation in part (a). y = 2 x + C ⇒ y' = − (x + C)2 . LHS = y' = − (x + C)2 = − 1 2 x + C 2 = − 1 2 y2 = RHS (c) Can you think of a solution of the differential equation y' = −(1/2)y2 that is not a member of the family in part (b)? y = 0 is a solution of y' = −(1/2)y2 that is not a member of the family in part (b). y = 2 is a solution of y' = −(1/2)y2 that is not a member of the family in part (b). y = x is a solution of y' = −(1/2)y2 that is not a member of the family in part (b). y = e2x is a solution of y' = −(1/2)y2 that is not a member of the family in part (b). Every solution of y' = −(1/2)y2 is a member of the family in part (b). (d) Find a solution of the initial-value problem. y' = −(1/2)y2 y(0) = 0.25 y =
Answers: 3
Mathematics, 21.06.2019 19:40, evarod
Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.
Answers: 3
Mathematics, 21.06.2019 21:50, shay68596
What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality
Answers: 3
Mathematics, 21.06.2019 22:10, oijhpl5085
Using graph paper, determine the line described by the given point and slope. click to show the correct graph below.(0, 0) and 2/3
Answers: 2
(a) What can you say about a solution of the equation y' = −(1/2)y2 just by looking at the different...
Mathematics, 07.04.2020 23:39
Mathematics, 07.04.2020 23:39
Mathematics, 07.04.2020 23:39