Calculus—IMPORTANT STUFF TO KNOW

0.0(0)
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
Get a hint
Hint

Slope Intercept Form/Linear Equation

Get a hint
Hint

y=mx+b

Get a hint
Hint

Quadratic Equation

Get a hint
Hint

ax²+bx+c

Card Sorting

1/32

Anonymous user
Anonymous user
flashcard set

Earn XP

Description and Tags

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

33 Terms

1
New cards

Slope Intercept Form/Linear Equation

y=mx+b

2
New cards

Quadratic Equation

ax²+bx+c

3
New cards

Standard Form

ax+by=c

4
New cards

Point-Slope Form

y-y₁=m(x-x₁)

5
New cards

Standard Parabola Equation

y=a(x-h)²+k

6
New cards

logb(a)=c

b^c=a

7
New cards

(x+h)²

(x²+2xh+h²)

8
New cards

1^ANYTHING

1

9
New cards

e^+big

10
New cards

e^-big

0

11
New cards

e^1/±big

e⁰—>1

12
New cards

ANY#⁰

1

13
New cards

ln(e⁵)

5×ln(e)—>5×1–>5

14
New cards

Domain & Range of Natural Log (ln(x))

(0,∞); (-∞,∞)

15
New cards

What Determines an Even Function?

f(-x)=f(x)

16
New cards

What Determines an Odd Function?

f(-x)=-f(x)

17
New cards

x^a×x^b

x^a+b

18
New cards

x^a/x^b

x^a-b

19
New cards

(x^a)^b

x^ab

20
New cards

ln(ab)

ln(a)+ln(b)

21
New cards

ln(a/b)

ln(a)-ln(b)

22
New cards

ln(a^b)

b(ln(a))

23
New cards

Formula of a Trapezoid

1/2(a+b)h

24
New cards

Distance Formula (Find the Distance Between 2 Pts.)

d=√(x₂-x₁)²+(y₂-y₁)²

25
New cards

How would you Find the Slope of a Line Perpendicular to Another Line?

The - reciprocal of the 1st line’s slope

26
New cards

Formula for Perimeter/Circumference of a Circle

P=2πr

27
New cards

Formula for Area of a Circle

A=πr²

28
New cards

Formula for Surface Area of a Cylinder

2πr(r+h)

29
New cards

How to Tell That a Function Has a Horizontal Asymptote?

Same degree in numerator & denominator—>numerator coefficient/denominator coefficient

Ex: 2x+3/x; H.A.= y=2

30
New cards

How to Tell That a Function Has a Horizontal Asymptote of 0?

Bottom Heavy—>H.A.=0

Ex: x+2/x³; H.A.= y=0

31
New cards

How to Tell That a Function Has an Oblique/Slant Asymptote and No Horizontal Asymptote?

Top Heavy—>S.A.

Ex: x³-3/x²; H.A.=non-existent.

32
New cards

How to Tell That a Function Has a Vertical Asymptote?

Non-cancelable variable in denominator

Ex: x/x-2; V.A.= x=2

33
New cards

Slope of normal line (as opposed to tangent)

- reciprocal of slope of tangent line