Perform the following tasks for the equations below: (1) Find a general solution of the associated homogeneous equation. (2) Use the method of undetermined coefficients to find a particular solution of the given equation. (3) Write down the general solution of the given equation. (4) Find the solution satisfying the given initial conditions. y''-6y'-7y=-9e^{-2t}, \quad y(0)=6, \quad y'(0)=3y ′′ −6y ′ −7y=−9e −2t ,y(0)=6,y ′ (0)=3

The average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012. based on the data below, assuming that the projected hourly earnings are correct, is jason’s friend’s statement accurate? construction industry - average hourly earnings, 2000-2009 a. his friend’s statement is accurate. the average hourly earnings will increase by 2%. b. his friend’s statement is not accurate. the percent increase will be more than 2% c. his friend’s statement is not accurate. the percent increase will be less than 2% d. his friend’s statement is not accurate. the average hourly earnings will decrease

An architect is designing a water fountain for a park she uses the given function to model the water jet flowing from the fountain nozzles where h(x) gives the height of the water jugs in feet x feet from the starting point h(x)=-1/20x+x+15

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?