(a) what can you say about a solution of the equation y' = - (1/4)y2 just by looking at the differential equation? 1. the function y must be decreasing (or equal to 0) on any interval on which it is defined. 2. the function y must be increasing (or equal to 0) on any interval on which it is defined. (b) verify that all members of the family y = 4/(x + c) are solutions of the equation in part (a). (c) find a solution of the initial-value problem. 3√12x+ 0.008 12

Step-by-step explanation:

a) We can state that the value of y' is negative on an interval because y^2 is positive in any interval (except in y(0), in which y'(0)=0). If y' is negative, as it is the slope of the tangent of the function y in any point, we can conclude that y is decreaing or equal to zero on any interval on which is defined.

b) First, we calculate y'

Then we replace in the differential equation and get the same result

c) The question is not readable, so I am going to solve this initial-value problem:

just find the gcf and solve the gcf's until you get each answer i have a really good feeling somethings missing xd (like the dimensions of the fence) *cough *cough *hint *hint

step-by-step explanation:

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.