Factoring
Find the GCF of 15x^3y+20x^2y and factor
GCF 5x^2y; factored form: 5x^2y(3x+4)
Divide 128 by 4
32
Two angles form a straight line, and one of them is 130 degrees. What is the other angle?
50 degrees
What is the derivative?
This concept represents the instantaneous rate of change of a function (slope of the tangent line at a certain point).
Factor 3x^2+15x+18
3(x+2)(x+3)
Divide 276 by 6
46
Two supplementary angles differ by 40 degrees. What is the larger angle?
110 degrees
If f(x)=3x^2+2x+3y. What is f'(x)?
f'(x)=6x+2
Factor by grouping x^3+4x^2+3x+12
(x^2+3)(x+4)
Divide 1764 by 42
42
Two angles are complementary. The first is 2x degrees, the second is x+30. What is x?
20 degrees
Name the Calculus formula for finding the derivative of a composite function.
Chain Rule
Factor x^4-13x^2+36
(x-3)(x+3)(x-2)(x+2)
Divide 2912 by 56
52
Two supplementary angles have a ratio of 4 to 5. What is the smaller angle?
80 degrees
Evaluate the integral of cos(3x)(sin(3x))^5 dx
(sin(3x))^6 /18 + C
Factor 12x^4y^2-18x^3y^3+6x^2y^4
6x^2y^2(2x-y)(x-y)
Divide 84.24 by 3.6
23.4
What is a 9-sided polygon?
Nonagon or ennagon
Name this theorem:
If a real-valued function f is continuous on a closed interval [a,b], differentiable on the open interval (a,b), and f(a)=f(b), then there exists at least one c in (a,b) such that f'(c)=0.
Rolle's Theorem