The MATLAB code hypot(x,y) (or Python math.hypot(x,y)

evaluates the quantity

p

x2 + y2 in a way that is careful to avoid overow or

under

a) Find an example where the code sqrt(x^2 + y^2) overows but hypot(x,y)

does not.

b) Find an example where the code sqrt(x^2 + y^2) underows but hypot(x,y)

does not.

c) Find an example where hypot(x,y) will overow no matter how carefully

it is written.

Problem 3. The MATLAB code hypot(x,y) (or Python math.hypot(x,y) evaluates the quantity V x2 + y2 in a way that is careful to avoid overflow or underflow. a) Find an example where the code sqrt(x^2 + y^2) overflows but hypot(x,y) does not. b) Find an example where the code sqrt(x^2 + y^2) underflows but hypot(x,y) does not. c) Find an example where hypot(x,y) will overflow no matter how carefully it is written