In Exercises 41-64, a. Use the Leading Coefficient Test to determine the graph’s end behavior. b. Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. c. Find the y-intercept. d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither. e. If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly. f ( x ) = − 3 x 3 ( x − 1 ) 2 ( x + 3 )
In Exercises 41-64, a. Use the Leading Coefficient Test to determine the graph’s end behavior. b. Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. c. Find the y-intercept. d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither. e. If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly. f ( x ) = − 3 x 3 ( x − 1 ) 2 ( x + 3 )
Solution Summary: The author explains how the graph of the polynomial falls to both sides.
Find the (perpendicular) distance from the line given by the parametric equations
(x(t)
=
5+9t
y(t)
=
7t
=
2-9t
z(t)
to the point (-1, 1, −3).
Let ä(t) = (3,-2,-5)t + (7,−1, 2) and (u) = (5,0, 3)u + (−3,−9,3).
Find the acute angle (in degrees) between the lines:
A tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3
gal/min. Thus, the tank is empty after exactly 50 min.
(a) Find the amount of salt in the tank after t minutes.
(b) What is the maximum amount of salt ever in the tank?
Chapter 2 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Precalculus (6th Edition)
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