# Pre-Calculus Puzzle : Chapters 8-12,15

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Pre-Calculus Puzzle : Chapters 8-12,15
30
magnitude:length of the line segment represents the...
vector:a quantity that has both magnitude and direction
standard position:a vector's initial point at the origin
direction:the directed angle between the positive x-axis and the vector
zero vector:if both the initial point and the terminal point are at the origin, the vector is...
resultant:the sum of two or more vectors is called
opposites:two vectors are _____ if they have the same magnitude and opposite directions
scalar quantity:a quantity with only magnitude is called a...
parallel:two or more vectors are _____ if and only if they have the same or opposite directions
components:two or more vectors whose sum is a given vector are called _____ of the given vector
unit vector:a vector that has a magnitude of one unit is called a...
cross product:another important product involving vectors in space is the...
vector equations:these equations can be used to describe the coordinates for a pint on the line for any value of the parameter
parametric equations:if we know the coordinates of a point on a line and its direction vector, we can write its...
direction vector:a vector used to describe the slope of a line
parameter:the independent variable t in the vector equation of a line
polyhedra:transformations of three-dimensional figures
polar coordinate system:recording the position of an object using the distance from a fixed pint and an angle made with a fixed ray from that pint uses a...
polar equation:an equation expressed in terms of polar coordinates is called a...
polar graph:is the set of all points whose coordinates satisfy a given polar equation
classical curves:limaçons, roses, and cardioids are examples of...
rectangular form:a complex number a+bi, where a and b are real numbers, is said to be in...
imaginary number:if b=o, the complex number is a real number, if b does not = 0, the complex number is an...
iteration:the process of repeatedly applying a function to the output produced by the previous input
complex conjugates:two complex numbers of the form a+bi and a-bi are called...
complex plane:complex numbers can be graphed in the...
modulus:in the case of a complex number, r represents the absolute value, or...
amplitude:the angle theta is called the _____ or argument of the complex number
polar form:this form of a complex number is often called the ______ or trigonometric form
escape set:points that escape to infinity under iteration belong to the ________ of the function
prisoner set:points that do not escape belong to the...
Julia set:the boundary between the escape set and the prisoner set
analytic geometry:the study of coordinate geometry from an algebraic perspective is called...
circle:the set of all points in the plane that are equidistant from a given point in the plane
center:given point in the plane
radius:the distance from the center to any point on the circle
conic section:a circle is one type of...
degenerate conic:when a plane does pass through the vertex of a conical surface
ellipse:the set of all points in the plane
foci:the sum of whose distances from two fixed points
major axis:the longer line segment which contains the foci
minor axis:the shorter segment
vertices:the endpoints of each axis is the...
eccentricity:a measure that describes the shape of an ellipse
hyperbola:a set of all points in the plane in which difference of the distances from two fixed points is constant
vertex:the point on each branch of the hyperbola that is nearest to the center is called the...
asymptote:a line that a graph approaches but never intersects
transverse axis:the line segment connecting the vertices is called the...
conjugate axis:the segment perpendicular to the transverse axis through the center is called the...
equilateral hyperbola:in the standard form of the equation of a hyperbola, if a=b, the graph is an...
rectangular hyperbola:special case of the equilateral hyperbola where the coordinate axes are the asymptotes
focus:a parabola is defined as the set of all points in the plane that are the same distance from a given point called the...
directrix:a parabola is defined as the set of all points in the plane that are the same distance from a given line
axis of symmetry:a line about which a figure is symmetric
vertex:the point at which the axis intersects the parabola is called the...
scientific notation:the distance Pathfinder traveled is written in...
power function:functions in the form y=x^5
exponential functions:functions in the form y=b^x
exponential decay:in a situation like cooling when a quantity loses value exponentially over time
exponential growth:the balance in a savings or money market account and the population of people or animals in a region often demonstrate what is called...
logarithm:in the function x=a^y, the y is called the...
logarithmic function:the function y=log of a x is called a...
common logarithms:logarithms with base 10 are called...
mantissa:the logarithm of a number between 1 and 10
antilogarithm:not the inverse of a logarithmic function
natural logarithmic:logarithms to the base e
doubled time:how long it takes a quantity modeled by an exponential function to reach twice its initial amount
sequence:the set of numbers representing the amount of money earned for each house sold is an example of a...
arithmetic sequence:a sequence in which each term after the first is equal to the sum of the preceding term and the common difference
common difference:the difference between successive terms of an arithmetic sequence is a constant called the...
recursive formula:this means that each succeeding term is formulated from one or more previous terms
arithmetic means:the terms between any two nonconsecutive terms of an arithmetic sequence
arithmetic series:the indicated sum of the terms of an arithmetic sequence
nth partial sum:used to represent the sum of the first n terms of a series
geometric sequence:a sequence in which each term after the first is the product of the preceding term and the common ratio
common ratio:the ratio of successive terms in a geometric sequence is a constant called...
geometric means:the terms between any two nonconsecutive terms of a geometric sequence
geometric series:the indicated sum of the terms of a geometric sequence
infinite sequence:the sequence can have infinitely many terms
limit:zero is called the ____ of the terms in a sequence
converge:if the sequence of partial sums approaches a limit, the related series is said to...
diverge:if the sequence of partial sums does not have a limit, then the related infinite series is said to...
comparison test:to determine whether the series is convergent or divergent
sigma notation:the use of the uppercase Greek letter sigma is to indicate a sum or series
index of summation:the variable n used with the sigma notation
factorial:n!
pascalstriangle:if just the coefficients of these expansions are extracted and arranged in a triangular array, they form the pattern called...
binomialtheorem:the general expansion of (x+y)^n can also be determined by...
mathematical induction:method of proof
limit:a number that the terms of a sequence approach, without necessarily reaching it
derivative:subtract one to the exponent
tangent line:curve crosses line once
secant line:curve crosses line twice
differentiation:process of finding the derivative
antiderivative:add one to the exponent
rate of change:in real world situations, the derivative of a function is often called...
integrals:the area between the curve of a function
definite integral:an integral that has lower and upper bounds
integration:process of finding the area under a curve
tundamentaltheorem of Calculus:connection between definite integrals and antiderivatives
indefinite integral:antiderivative of f(x)

# Pre-Calculus Puzzle : Chapters 8-12,15

Across:1. | limaçons, roses, and cardioids are examples of... | 2. | the set of all points in the plane | 4. | the boundary between the escape set and the prisoner set | 6. | the endpoints of each axis is the... | 8. | the point at which the axis intersects the parabola is called the... | 12. | zero is called the ____ of the terms in a sequence | 13. | functions in the form y=x^5 | 14. | if b=o, the complex number is a real number, if b does not = 0, the complex number is an... | 15. | the terms between any two nonconsecutive terms of an arithmetic sequence | 18. | the function y=log of a x is called a... | 19. | transformations of three-dimensional figures | 22. | a vector's initial point at the origin | 25. | process of finding the area under a curve | 26. | the directed angle between the positive x-axis and the vector | 27. | a circle is one type of... | 28. | the general expansion of (x+y)^n can also be determined by... |
| | Down:1. | the segment perpendicular to the transverse axis through the center is called the... | 3. | two or more vectors are _____ if and only if they have the same or opposite directions | 5. | the sequence can have infinitely many terms | 7. | the variable n used with the sigma notation | 8. | these equations can be used to describe the coordinates for a pint on the line for any value of the parameter | 9. | points that do not escape belong to the... | 10. | the sum of whose distances from two fixed points | 11. | the longer line segment which contains the foci | 16. | a parabola is defined as the set of all points in the plane that are the same distance from a given line | 17. | curve crosses line once | 20. | a set of all points in the plane in which difference of the distances from two fixed points is constant | 21. | given point in the plane | 23. | the point on each branch of the hyperbola that is nearest to the center is called the... | 24. | the distance from the center to any point on the circle |
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# Pre-Calculus Puzzle : Chapters 8-12,15

Across:1. | limaçons, roses, and cardioids are examples of... | 2. | the set of all points in the plane | 4. | the boundary between the escape set and the prisoner set | 6. | the endpoints of each axis is the... | 8. | the point at which the axis intersects the parabola is called the... | 12. | zero is called the ____ of the terms in a sequence | 13. | functions in the form y=x^5 | 14. | if b=o, the complex number is a real number, if b does not = 0, the complex number is an... | 15. | the terms between any two nonconsecutive terms of an arithmetic sequence | 18. | the function y=log of a x is called a... | 19. | transformations of three-dimensional figures | 22. | a vector's initial point at the origin | 25. | process of finding the area under a curve | 26. | the directed angle between the positive x-axis and the vector | 27. | a circle is one type of... | 28. | the general expansion of (x+y)^n can also be determined by... |
| | Down:1. | the segment perpendicular to the transverse axis through the center is called the... | 3. | two or more vectors are _____ if and only if they have the same or opposite directions | 5. | the sequence can have infinitely many terms | 7. | the variable n used with the sigma notation | 8. | these equations can be used to describe the coordinates for a pint on the line for any value of the parameter | 9. | points that do not escape belong to the... | 10. | the sum of whose distances from two fixed points | 11. | the longer line segment which contains the foci | 16. | a parabola is defined as the set of all points in the plane that are the same distance from a given line | 17. | curve crosses line once | 20. | a set of all points in the plane in which difference of the distances from two fixed points is constant | 21. | given point in the plane | 23. | the point on each branch of the hyperbola that is nearest to the center is called the... | 24. | the distance from the center to any point on the circle |
| |

© 2013

PuzzleFast.com, Noncommercial Use Only