EBK PRECALCULUS
6th Edition
ISBN: 8220103679510
Author: Blitzer
Publisher: PEARSON
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Chapter 9.3, Problem 7MCCP
To determine
To graph: The hyperbola
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Find the distance from the point (-9, -3, 0) to the line ä(t) = (−4, 1, −1)t + (0, 1, −3) .
1 Find a vector parallel to the line defined by the parametric equations
(x(t)
=
-2t
y(t)
== 1- 9t
z(t)
=
-1-t
Additionally, find a point on the line.
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).
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- 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:arrow_forwardA 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?arrow_forwardpleasd dont use chat gptarrow_forward
- Draw the vertical and horizontal asymptotes. Then plot the intercepts (if any), and plot at least one point on each side of each vertical asymptote.arrow_forwardDraw the asymptotes (if there are any). Then plot two points on each piece of the graph.arrow_forwardCancel Done RESET Suppose that R(x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R(x) has the following zeros. -1-4i, -3i, 5+i Answer the following. (a) Find another zero of R(x). ☐ | | | | |│ | | | -1 བ ¢ Live Adjust Filters Croparrow_forward
- Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -1-4i, -3i, 5+i Answer the following. (c) What is the maximum number of nonreal zeros that R (x) can have? ☐arrow_forwardSuppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -1-4i, -3i, 5+i Answer the following. (b) What is the maximum number of real zeros that R (x) can have? ☐arrow_forwardi need help please dont use chat gptarrow_forward
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