Find equations of the normal plane to x = t, y = t², z = t³ at the point (2, 4, 8).
What will be an ideal response?
x + 4y + 12 z- 114 = 0
You might also like to view...
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 3xi + 2xj + 7zk; C: the cap cut from the upper hemisphere x2 + y2 + z2 = 16 
by the cylinder 
A. 8? B. 4? C. 2? D. 3?
Solve: 
= 
A. 85 B. 53.125 C. 51 D. 188.235
Give the name of the surface.
A. Oblique cylinder B. Trapezoidal pyramid C. Trapezoidal prism D. Oblique cone
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.24xy - 7y2 + 36 = 0
A. ? = 53.1°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)
B. ? = 36.9°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±3)
C. ? = 36.9°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ± 
)
D. ? = 36.9°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)