Consider the Al-Si phase diagram. What are the percentages of the $\alpha$-phase and liquid for an Al-$5$ wt $\%$ Si alloy at $620$ , $600$ , and $578$ $^{\circ} \mathrm{C}$ ? What are the percentages of $\alpha$ and $\beta$ phases in this alloy for an Al-$5$ wt $\%$ Si alloy at $576$ and $550$ $^{\circ} \mathrm{C}$ ?

The value of the integral I = ∫_-∞^∞ e^-x²/2 dx is required in the development of the normal probability density function. (b) Use the result of part (a) to determine I.

Fill in the blank to complete the trigonometric identity. 1 + ________ = csc^2 u

For each of the matrices, perform the following activities. (i) Determine where in the trace-determinate plane the system $\mathbf{y}^{\prime}=A \mathbf{y}$ fits. (ii) Find all of the equilibrium points for the system $\mathbf{y}^{\prime}=A \mathbf{y}$ and plot them in the phase plane. (iii) Find the general solution and use the result to create a phase portrait for this system, taking care to sketch enough solution curves to show what happens in every part of the phase plane.

$$A=\left(\begin{array}{rr} 8 & 4 \\ -10 & -5 \end{array}\right)$$

Fill the blank: $2.1 \mathrm{~km} \approx$ ____ $\mathrm{yd}$

Identify the grammatical error in the following sentence. If the sentence contains no error, select answer choice E.

Both my $\overset{\text{(A)}}{\underline{\text{brother-in-laws}}}$ $\overset{\text{(B)}}{\underline{\text{work}}}$ at the same $\overset{\text{(C)}}{\underline{\text{company, and}}}$ they are trying to get me $\overset{\text{(D)}}{\underline{\text{an interview}}}$ for a job there. $\overset{\text{(E)}}{\underline{\text{No error}}}$

Fill in the blank to make a true statement. 1 teraliter=_ picoliters

Fill in the blank with the correct inequality symbol. If x < -4, then x + 4 _____ 0.

Fill in the blank to make a true statement. 1 teraliter=_ micrograms

Fill in the blank. The standard form of a _____ equation is

$$a x ^ { 2 } + b x + c = 0$$

.

Fill the blank: $11 \mathrm{~qt} \approx$ ____ $\mathrm{L}$

Fill in the blank to make a true statement. 6.7 kl=_ dm³

A three-phase system with a line-to-line voltage of 208 V rms and phase sequence abc is connected to a Y-balanced load with impedance $10 \angle -30^{\circ} \Omega$ and a balanced $\Delta$ load with impedance $15 \angle 30^{\circ} \Omega$. Find the line currents and the total power using two wattmeters.

Fill in blank spaces:

In classical conditioning, the _______ predicts that the _______ is about to occur.