Find the particular solution to y " = 2sin(x) given the general solution y = −2sin(x) + ax + b and the initial conditions y of pi over 2 equals 0 and y prime of pi over 2 equals negative 2.

−2sin(x) + 2

−2sin(x) − 2x + π + 2

−2sin(x) − 2x + 2π

−2sin(x) − 2x + π

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

Explain why the factor 1.5 is broke. into two numbers in the model.

Can someone me find the original price? the discount is 5% and the sale price is $68.40