A steel pipe is being carried down a hallway 14 ft wide. At the end of the hall there is a right-angled turn into a narrower hallway 7 ft wide. What is the length of the longest pipe that can be carried horizontally around the corner?
a = -20/3
b = 4/3
(0, 0), (-2, -5/2)
Mathematics
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Find the unit vectors that are parallel to the tangent line to the curve y=2x² at the point (,4).
What will be an ideal response?
Mathematics
Solve the equation.
+ 
= - 
A. ? B. {-30} C. {-29} D. {29}
Mathematics
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10
xy + 21y2 -144 = 0
A. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)
B. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
C. ? = 30°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
D. ? = 36.9°
+ 
= 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)
Mathematics
Solve.Given f(x) = x2 + 2x - 11 find all values for x for which f(x) ? -3.
A. (-?, -4] ? [2, ?) B. (-4, 2) C. ? D. [-4, 2]
Mathematics