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Calc 1, part 2 | MATH - Calculus 1 - Introduction, Quizzes of Calculus

Class: MATH - Calculus 1 - Introduction; Subject: Mathematics; University: Kean University; Term: Forever 1989;

Typology: Quizzes

2011/2012

Uploaded on 01/23/2012

dsarra1029
dsarra1029 🇺🇸

3 documents

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TERM 1
Increments
DEFINITION 1
When a particle moves from one point in the plane to
another, the net changes in its coordinates are called
increments.
TERM 2
Average Speed
DEFINITION 2
Interval of length "h" and length of time.delta y 16(t0 + h)^2
- 16(t0)^2delta t h
TERM 3
Limiting Value
DEFINITION 3
You need to find this if you're not looking for the average
TERM 4
Average Rate of Change
DEFINITION 4
The average rate of change y=f(x) with respect to "x" over
the interval [x1, x2] is =delta y f(x2)-f(x1)delta x x2-
x1=f(x1+h)-f(x1) hh cannot equal 0
TERM 5
Tangency of a Curve
DEFINITION 5
1) Start with the scant of PQ2)Find the limiting value of the
secant slope as Q approaching P along the curve.3)If the limit
exists, take it to be the slope of the curve at P and define the
tangent to the curve at P to be the line through P with this
slope.
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TERM 1

Increments

DEFINITION 1 When a particle moves from one point in the plane to another, the net changes in its coordinates are called increments. TERM 2

Average Speed

DEFINITION 2 Interval of length "h" and length of time.delta y 16(t0 + h)^

  • 16(t0)^2delta t h TERM 3

Limiting Value

DEFINITION 3 You need to find this if you're not looking for the average TERM 4

Average Rate of Change

DEFINITION 4 The average rate of change y=f(x) with respect to "x" over the interval [x1, x2] is =delta y f(x2)-f(x1)delta x x2- x1=f(x1+h)-f(x1) hh cannot equal 0 TERM 5

Tangency of a Curve

DEFINITION 5

  1. Start with the scant of PQ2)Find the limiting value of the secant slope as Q approaching P along the curve.3)If the limit exists, take it to be the slope of the curve at P and define the tangent to the curve at P to be the line through P with this slope.

TERM 6

Standard Form

DEFINITION 6 Ax+By=C TERM 7

Slope Intercept Form

DEFINITION 7 y=mx+b TERM 8

Point Slope Form

DEFINITION 8 y-y1=m(x-x1) TERM 9

Functions

DEFINITION 9 In mathematics, a function associates an argument or input quantity with exactly one value or output quantity.