Functions of Several Variables Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1)  Let Find and

(2) Find the domain and range for the multivariate function

(3) Find the domain and range for the multivariate function

(4) Find the domain and range for the multivariate function   

(5) Find the domain and range for the multivariate function   

(6) Find the domain and range for the multivariate function   

(7) Sketch some level curves for the multivariate function for

(8) Sketch some level curves for the multivariate function for   

(9) Sketch some level curves for the multivariate function for   

(10) Sketch some level curves for the multivariate function for     

(11) Sketch some level curves for the multivariate function for     

(12)  Describe the trace of the quadratic surface in each coordinate plane, then sketch the surface.

(13)  Describe the trace of the quadratic surface in each coordinate plane, then sketch the surface.

(14) Sketch the graph of the multivariate function,

(15) Sketch the graph of the multivariate function,   

(16) Sketch the graph of the multivariate function,   

(17) Sketch the graph of the multivariate function,   

(18) Sketch the graph of the multivariate function,   

• print this page
• pages linking here
• related pages