(1 point) Take the Laplace transform of the following initial value problem and solve for Y(s)=L{y(t)}: y′′−5y′−14y=S(t)y(0)=0,y′(0)=0 where S is a periodic function defined by S(t)={1,0,0≤t<11≤t<2, and S(t+2)=S(t) for all t≥0. Hint: : Use the formula for the Laplace transform of a periodic function. Y(s)= (1-e^(-s))/(s(1-e^(-2s))) equation editorEquation Editor

Consider the reaction 2x2y2+z2⇌2x2y2z which has a rate law of rate= k[x2y2][z2] select a possible mechanism for the reaction.

The radius of the earth is two times the radius of the moon. what fraction of the volume of the earth is the volume of the moon?

Which two transformations are applied to pentagon abcde to create a'b'c'd'e'? (4 points) translated according to the rule (x, y) ? (x + 8, y + 2) and reflected across the x-axis translated according to the rule (x, y) ? (x + 2, y + 8) and reflected across the y-axis translated according to the rule (x, y) ? (x + 8, y + 2) and reflected across the y-axis translated according to the rule (x, y) ? (x + 2, y + 8) and reflected across the x-axis