Consider the electric circuit shown in Figure 7.6.6. Suppose that R1 = R2 = 4 ,C = 12 F, and L = 8 H.(a) Show that this circuit is described by the system of differential equationsddt IV=12 182 12 IV, (i)where I is the current through the inductor and V is the voltage drop across the capacitor.Hint: See of Section 7.1.(b) Find the general solution of Eqs. (i) in terms of real-valued functions.(c) Find I(t) and V(t) if I(0) = 2 A and V(0) = 3 V.(d) Determine the limiting values of I(t) and V(t) as t . Do these limiting valuesdepend on the initial conditions?

X = Independent Variable Y = Dependent Variable EX: X = study hours = independent Y = grades = dependent variable Explanatory Variablindependent variable or X Response variableDependent variable or y !!!!ALWAYS QUANTITATIVE DATA!!!! If x increases, y increases If x increases, y decreases Scatter plot forms ; ● Linear ● Curve ● Scatter OUTLIERS!!! Correlations :r The closer the datas are the stronger the relationship The closer the datas are together the closer it is to +1 in a positive correlation r has no unit of measure! R only describe linear relationships nonresistant resistant