Exponentials and Logs
Rewrite in exponential form and evaluate:
log327 = x
3x = 27
x = 3
Give a negative and positive coterminal angle for pi/6
answers may vary
What is the limit of 8x+9+h as h approaches zero?
8x+9
What is -4cos(sin(sin(pi)))?
-4
What is my favorite subject?
Mathematics (durrrr)
Expand: log(x2y6)
How long is the hypotenuse of a triangle on the unit circle?
1
What do IROC and AROC stand for?
Instantaneous Rate of Change and Average Rate of Change
What is derivative? (One word answer)
Slope
What is my favorite color?
Rewrite in exponential form and solve:
log2(1/16) = x
2x = (1/16)
x = -4
Pair the following functions with their inverses:
sin, cos, tan
and
sec, cot, csc
sin and csc
cos and sec
tan and cot
What is the limit definition of derivative? You need to write/say the formula completely.
(check answer with teacher)
Order these from slowest to fastest growing:
exponentials
logarithms
polynomials
logarithms, polynomials, exponentials
What is my favorite fruit?
Mango
Write an possible equation that models exponential growth of debt by a factor of 4.
answers will vary
Evaluate: tan-1(sqrt3)
(One answer is sufficient)
pi/3, 4pi/3, -5pi/3, etc.
What is the limit of 1/(x-2) as x approaches 2 from the right?
infinity
What are the two types of right triangles that make up the unit circle?
30-60-90 triangles and 45-45-90 triangles
What color eyes do I have?
Hazel
What is 00?
1 or undefined, depending on the context
(I'll accept either answer)
cos2x + sin2x = ?
cos2x + sin2x = 1
Suppose the function p(t) gives us the position (in meters) of a moving car at a time t (in seconds). Further suppose that I find the derivative p'(t), and that p'(2)=7. Write/say a sentence describing that value in the context of the problem.
At 2 seconds, the car is moving 7 meters per second.
This is my first time teaching calculus. How many years ago did I take Precalculus? I will accept answers within a 1-year range.
Trick Question! I never took Precalculus.
What is my religious/spiritual affiliation?
Agnostic