Name: Reagan Davis
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10.08 Geometric Sequences and Series
1. Determine if the sequence is geometric. If it is find the common ratio.
a) -3, -15, -75, -375, Yes, the common ratio is 5
b) -1, 1, 4, 8, No
c) 1, -5, 25, -125, Yes, the
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10.06 Difference Quotients
1. Find the difference quotient for f ( x) 5 6 x x 2
2. Find the limit for f ( x) x 2 3 x
3. Find the limit for f ( x) x 1
4. Find the slope of the tangent line for f ( x)
1
at the point 3,1
Name: Reagan Davis
Date:
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Facilitator:
10.06 Difference Quotients
1. Find the difference quotient for f ( x) 5 6 x x 2
2. Find the limit for f ( x) x 2 3 x
3. Find the limit for f ( x) x 1
4. Find the slope of the tangent line for f ( x)
1
at t
Name: Reagan Davis
Date:
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10.04 One-Sided Limits
Evaluate the following limits.
1.
lim f ( x) when
x 1
2x+1= -1
X^2-2= -3
2. lim f ( x) when
x2
2 x 1, x 1
f ( x) 2
x 2, x 1
1 ( x 1) 2 , x 2
f ( x)
x2
x 2 ,
1-(x-1)^2= 0
Sqrtx-2= Does
Name: Reagan Davis
Date:
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10.02 Limit Properties and Operations
Find the limit of the following functions using the properties of limits.
1. lim 4 x
x 16
2. lim x
7
3. lim 5
5
x7
x 2
2
4. lim x 2 64
x 8
sin x
1
x 0
x
5. lim
1 cos x
Name: Reagan Davis
Date:
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10.02 Explore
The Limit Laws
Go to The Limit Laws.
Do the Explore on the applet then answer the questions.
1. What is the maximum value of f(x) + g(x)? 5
2. What is the maximum value of f(x)g(x)? 5.1
3. What a
Name: Reagan Davis
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8.05 Polar Form and Complex Numbers
1. Graph these complex numbers as vectors in the complex plane. Drag the points and arrows to the appropriate
locations.
A( -3 + i) and B(-2 4i)
bi
a
A(-3 + i)
B(-2 4i)
2. C
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Date:
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8.07 Complex Numbers on the Complex Plane
Use the complex numbers z = 2 + 6i and w = 4 2i to solve the following.
1. Find z + w
Answer: 6+4i
z
z+w
w
2. Find z w
Answer: -2-4i
z
-w
w
zw
3. Find zw
Answer: 8-8i
Name: Reagan Davis
Date:
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8.04 Polar and Rectangular Equation
Change these polar equations to rectangular form> Show each step of your work.
1. = 135
X=Rcos
=Rcos135
=-R2/2
Y=Rsin=R2/2
R=-2/2
=2Y
Y=-x
2. r = 9cos
=(x^2+y^2)
Cos=x/r
X/
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8.04 Polar and Rectangular Equation
Change these polar equations to rectangular form> Show each step of your work.
1. = 135
2. r = 9cos
Change these rectangular equations to polar form:
3. y = -x
4. (x - 6) + (y) = 36
Name: Reagan Davis
Date:
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10.01 Limits
1. Complete the table and use the result to estimate the limit (if possible).
lim
x 1
x
.9
.99
.999
1
1.001
1.01
1.1
x 1
x 2x 3
2
Undefined
f(x)
-1.1
-1.01
-1.001
?
-0.999
-0.99
-0.9
2. Complet
Name: Reagan Davis
Date:
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8.06 Parametric Equations
1. Change these parametric equations to slope-intercept form. Graph the parametric equations.
x = -1 - 2t
y = 4 - 1t
-2 t 2
You may either insert a graph from Geogebra or sketch on th
Name: Reagan Davis
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8.06 Explore
Parameterized Curve
Go to Geogebra: Parameterized Curve.
Click on trace and then click play in the bottom left corner.
1. What is the resulting graph? A circle
2. Click Erase and reset (the two bl
Name: Reagan Davis
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8.02 Graphing Polar Equations I
Graph these equations on polar graph paper. Give the coordinates for at least four UNIQUE points for
each graph.
You may drag the points and the appropriate shape to the grap
Name: Reagan Davis
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8.03 Explore
Graphing Polar Equations
Go to GeogebraTube: Graphs of Polar Equations.
There are 8 different graphs. Adjust the slide so that = 0. Check one of
the functions and then slide the slider to the r
Name: Reagan Davis
Date:
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8.03 Graphing Polar Equations II
Graph these equations on polar graph paper. You will need to either use a tablet PC to draw the lines
OR print this assignment, draw the graphs by hand, then scan your work
Name: Reagan davis
Date:
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8.01 Polar System
1. Graph these polar points on polar graph paper.
A( 2; 60), B( 3; -30), C(-5, -150), D( -3, 45)
D
A
B
C
2. Graph these polar points on polar graph paper.
E( -1; -60), F( -5; 315), G(-2, -
Name: Reagan Davis
Date:
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7.04 Explore
Horizontal Hyperbola
Go to GeogebraTube: Horizontal Hyperbola.
The general equation for a hyperbola is
(x h)2 (y k)2
1
2
2
a
b
Answer the following questions.
1. Drag h and k.
What effect does
Name: Reagan Davis
Date:
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7.03 Ellipse
Use the shapes provided to help graph the requested ellipses.
1. Graph, and name the center, vertices, and foci of this ellipse.
C=(0,-1)
V = (9,-1) and(-9,-1)
F = (214,-1) and (-214,-1)
2. Gra
Name: Reagan Davis
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6.06 Inverse of a Square Matrix
Determine whether statements 1 4 are true or false. Justify your answer.
1. Non-square matrices have inverses.
Answer: False
Explanation: If a matrixs determinant equals zero
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7.01 Circles
In this assignment, drag the red dot to graph the center drag and adjust the blue circle to graph the
circle.
2
2
1. Graph, and name the center and radius of x y 64
C =(0,0) r = 8
2. Graph, and name the ce
Name: Reagan Davis
Date: 2-6-17
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Facilitator:
6.07 Applications of Matrices
1. Write the matrix equations AX = B for the following system of equations.
4x 3y 2z 14
x y 2z 5
3x y 4z 8
[
4
3
-2
-1
-1
2
3
1
4
][
x
y
z
]=[
14
-5
8
]
2. Use the matrix
Name: Reagan Davis
Date: 2-13-17
School:
Facilitator:
7.02 Parabolas
To graph in this assignment, drag the points and shapes to the proper locations and adjust their size if
needed.
1. Graph, and name the vertex, focus, directrix and the length of the l
Name: Reagan Davis
Date:
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Facilitator:
7.03 Explore
Properties and Equation of Ellipse
Go to GeogebraTube: Properties and Equation of Ellipses.
Move the point P around the ellipse to see the values of the distance
from the foci. Answer the follo
Name: Reagan
Date: 1-31-17
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Facilitator:
6.06 Explore
Cryptography
Cryptography is concerned with keeping communications private.
Encryption is the transformation of data into some unreadable form. Its
purpose is to ensure privacy by keeping the
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7.04 Hyperbolas
1. Name the center, vertices, foci, give the equation of the asymptotes, and graph the following
hyperbola.
x2 y 2
1
49 9
C (0,0) V (7,0) and (-7,0) F (58,0),(-58,0) asymptotes: y= +/- 3x/7,
Focus
Verte
Name: Reagan Davis
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7.02 Explore
Parabola Origami
Go to Parabola Origami.
Find a piece of paper and a straight edge then follow the directions for the
construction activity.
After you have completed the construction answer the
Name: Reagan Davis
Date:
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8.02 Explore
Graphing in Polar Coordinates
Open Geogebra: Graphing in Polar Coordinates.
The graph is set with the radius r(t) = cos (t).
Click the trace selectbox under the textbox on the right. Then, eith
Name: Reagan Davis
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8.01 Explore
Polar Coordinates (Boat Game)
Open GeogebraTube: Polar Coordinates Boat Game.
Look at the polar graph.
1. The x-axis represents the Diameter which is the radius of the circle.
2. The circles ar
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8.03 Graphing Polar Equations II
Graph these equations on polar graph paper. You will need to either use a tablet PC to draw the lines
OR print this assignment, draw the graphs by hand, then scan your work to submit it