A tank contains 100 L of UC Davis CoHo iced tea with 8kg of sugar. Unsweetened iced tea enters the tankat a rate of 2 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) Write down differential equation for the amount of sugar in the tank as the function of time and state the initial condition. (5 points) y
(b) Solve the initial value problem from part (a). If you do not trust what you wrote down in part (a), dy you can instead solve 5 y(0) = 10. Note that this is NOT a correct solution to part (a). dt 20'
(c) Find all equilibria of your differential equation and determine their stability.
(d) How much sugar is going to be left in the tank after the long time has passed? How does your answer compare to your answer in part (c)?

135 is your answer

step-by-step explanation:

try 180 times three then divide that number by 4 (sides) to get your answer. im glad to : )

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: