In each of Problems 1 through 4, determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist.

1. (t - 3)y' + (ln t)y = 2t, y(1)=2

2. y' + (tan t) y = sin t, y(pi) = 0

3. (4 - t^2)y' + 2ty = 3t^2, y(-3) = 1

4. (ln t)y' + y = cot t, y(2) = 3

He weights of 2-pound bags of best dog food are approximately normally distributed with a given mean  and standard deviation  according to the empirical rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47.5%68%95%99.7%

Worth 100 points need the answers asap first row -x^2 2x^2 (x/2)^2 x^2 x is less than 2 x is greater than 2 x is less than or equal to 2 x is greater than or equal to 2 second row -5 -5/2 4 5 •2 is less than x& x is less than 4 •2 is less than or equal to x & x is less than or equal to 4 •2 is less than or equal to x& x is less than 4 •2 is less than x& x is less than or equal to 4

The graph of y=x3 is transformed as shown in the graph below. which equation represents the transformed function?