The Hyperbola
2.6 (page 52)
Practice Problems: 1 19 odd
A. Standard Form of the Hyperbola
A hyperbola is the set of all points P in the plane such that the difference between the distances from P to
t
The Straight Line
2.2 (page 32)
Practice Problems: 1, 3, 7, 9, 11, 13, 15, 17, 19, 21 - 29 odd
A. Linear Equations and Slope-Intercept Form
y2 y1
x2 x1
Slope
m
Slope-Intercept Form
y mx b
(Use when gi
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Math 1121 Week 7 Assignment - Free Response
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4' The sum of two positive numbers' Is 10. The sum oftheir cubes Is a minimum. \QI—hat are the two numbers?
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A 16 inch by 16 inch piece of cardboard has Iittle squares cut out of the corners so that the sides could be
turned up to make an open top box. How much should you cut out of th
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8. A farmer with 2465 ft. of fencing wishes to EnEIose a rectangular area and then divide‘it into three pens
with fencing parallel to one side of the rectangle. (See Picture!) Determine the
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Math 1121 Week 6 Assignment
1.
If 22 =12 +y2, E=10, and— dy :1, Find ﬂ when x: 3 ,y: 4 and zis positive.
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4:. a at L L a -ﬁ , x 2m
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Math 1121 Week 6 Assignment - Free Response
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Math 1121 Week 5 Assignment
1' We wish to solve -: 0 =91 using Newton’s Method. Use x1 = 2 as- your initial approximation and
find x2, the secondLEBprojﬁmation. (You are NOT being asked for
2.7 (page 58)
Translation of Axes
Practice Problems: 1 19 odd
Translation Formulas
x x h
and
y y k
and
y y k
Alternatively:
x x h
A. Parabolas
y k 2 4ax h
Vertex h, k
Focus
h a, k
a 0 opens left
a