For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric equations representing the given curve. Answers may vary. Hyperbola with center 1 , 3 , vertices − 2 , 3 and 4 , 3 , and foci − 4 , 3 and 6 , 3
For Exercises 35-42, use the results of Exercises 27-30 and use the parameter t to write parametric equations representing the given curve. Answers may vary. Hyperbola with center 1 , 3 , vertices − 2 , 3 and 4 , 3 , and foci − 4 , 3 and 6 , 3
Solution Summary: The author explains the parametric equations of a curve to represent the hyperbola with center (1,3), vertices, and foci.
For Exercises 35-42, use the results of Exercises 27-30 and use the parameter
t
to write parametric equations representing the given curve. Answers may vary.
Hyperbola with center
1
,
3
,
vertices
−
2
,
3
and
4
,
3
,
and foci
−
4
,
3
and
6
,
3
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
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Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY