Assume a series solution x(t) =summation ^ infinity _ n = 0 a_n t ^n for the equation x" + x = 0. show that the recursion formula for the coefficients is a_m + 2= -a _m/(m + l1(m + 2), m = 0, 1, and that this leads to the general solution x (t) = a_0 (1 - t^2/2! + t^4/4! + +a_1 (t - t^3/3! + t^5/5! + = a_0 cos(t) + a_1 sin(t)

Asalesperson earns $320 per week plus 8% of her weekly sales. the expression representing her earnings is 320 + 0.08x. which of the following describes the sales necessary for the salesperson to earn at least $1000 in the one week?

The scatterplot below shows the number of hours that students read weekly and the number of hours that they spend on chores weekly. which statement about the scatterplot is true?

Which description is represented by a discrete graph? kiley bought a platter for $19 and several matching bowls that were $8 each. what is the total cost before tax? the temperature at 9 a.m. was 83° f and is heating up at an average rate of 6°f per hour. what is the temperature x hours later? juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. what is the total amount of calories he consumed? a bottle contained 2,000 ml of liquid and is being poured out at an average rate of 300 ml per second. how much liquid is left in the bottle after x seconds?