Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Solve the following D.E 1. dy 3x -Y = LnX +1 2- ( + y = 12 e^* 8 ) find y and X , 8) find y and x, Y %3D

Consider the population model dP/dt = 2P −P^250 for a species of fish in a lake. Suppose it isdecided that fishing will be allowed, but it is unclear how many fishing licenses should beissued. Suppose the average catch of a fisherman with a license is 3 fish per year (these arehard to catch fish). What is the largest number of licenses that can be issued if the fish areto have a chance to survive in the lake?

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Given the power regression model y = 20x^1.6, which is the linear regression model after transforming to a log-log graph? A. Y = 1.6x + 1.30 B. Y = 1.3X + 1.60 D. Y = 0.2X + 0.20 C. Y = 0.2X + 1.30

The lifespan X (years) of a species of pig has pdff (x) = 3x2e−x^3 , 0 < x < ∞.Does X possess the memoryless property? Eplain your answer. Find the first quartile m0.25, median m0.5, and third quartile m0.75 for pigs of this species. What do each of these quantities represent?

larmony Up to 12-hour battery life 14" FHD IPS display Week 14: Chapter 12 - Linear Re X //nightingale.instructure.com/courses/3057255/assignments/28988705?module_item_id%3D62437114 ntable Flash. Question 3 > A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 51 57 51 50 70 70 55 50 Sprout Percent 49.5 54.5 47.5 47 38 41 54.5 47.5 54 a. Find the correlation coefficient: r= Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? v H1: ? 手0 The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the use of the regression line is not…

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8 ) Good handwriting please