(b) If u=1, v=2, w>0 . a.hyperboloid of one sheet b. hyperbolic paraboloid c.ell
ID: 2861106 • Letter: #
Question
(b) If u=1, v=2, w>0 .
a.hyperboloid of one sheet
b. hyperbolic paraboloid
c.ellipsoid
d. elliptic paraboloid
e.hyperboloid of two sheets
f.cone
Incorrect: Your answer is incorrect. I choose B
These questions also refer to the mathematica demonstration on page 1060:
Surfaces and Gradients from the Wolfram Demonstrations Project by Nevin Raj.
(a) Fix numbers u=u0, v=v0 and w=w0 If w0=f(x0,y0,z0), then the following statements are true of the gradient vector f(x0,y0,z0) in relation to the plane tangent to the graph of
w0=f(x,y,z) at the point (x0,y0,z0),
a.is tangent
b.is orthogonal
c.points in the direction in which there is no change
d.points in the direction in which f has the maximum rate of change
e.points in the direction in which f has the minimum rate of change
f.none of these
g.all of these
Explanation / Answer
if u = -1 and v = 2 and w > 0
then it will be a hyperboloid of one sheet
Here , w > 0
So Among all the options , Option A is correct
Hence , Option A is correct
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.