Provide an appropriate response.Show that f(x, y, z) = ex2 + y2 + z2 is continuous at the origin.

What will be an ideal response?


 f(x, y, z) =   ex2 + y2 + z2  = e(02 + 02 + 02) = 1  which proves the assertion.

Mathematics

You might also like to view...

Find the slope of the polar curve at the indicated point.r = , ? = 4?

A. 0 B. Undefined C. -4? D. 4?

Mathematics

Provide an appropriate response. Identify the equation  y = -3x2 + 1 as linear, quadratic, or other.

A. other B. quadratic C. linear

Mathematics

In the following figure, mn. Determine whether the given angles are congruent or supplementary.?e and ?h

A. Congruent B. Supplementary

Mathematics

Solve the problem.Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 4, 9, or 3?

A.
B.
C.  
D.

Mathematics