What is the purpose of the matching layer in an ultrasound transducer?

In ultrasound, what determines how much of the sound beam is reflected back?

A transducer generates ultrasound waves by applying electrical energy to a piezoelectric crystal, causing it to vibrate.

The Mean Value Theorem guarantees the existence of a special point on the graph of y=x1/2 = sqrt(x) on [0,4].  What are the coordinates of this point? Be sure to show a check of conditions of MVT before doing the problem. 2 pts for answer, 4 pts for work. Show work on paper.

Evaluate the limit analytically. Show calculus work on paper. If indeterminant, state the form as you work.  2 pts for answer 4 pts for work.  Indicate if/where L’Hopitals rule is used.  

Show work and state theorem/rule that applies on paper. 2 pts for answer 4 pts for work/reasoning   If

The Porter provides comic relief by…

Which is an accurate statement regarding both Macbeth and Lady Macbeth immediately following Duncan’s murder?

After reading Macbeth’s letter of the Witches’ predictions and that one of them has already come true, Lady Macbeth is excited about the possibility of her husband becoming the King. We hear her thoughts in a long Solilquey (Lines 39 – 55.) What is her biggest concern?

In Act 1, Scene 2, an army captain and Ross return from battle to report…