An English physicist and mathematician, who developed calculus independently.
Who is Sir Issac Newton?
100
Mrs Huff became Central Regional player of the year in this grade
What is Senior Year?
100
Integrate ∫e^x dx
What is e^x + C?
100
What theorem states: the function f(x) is continuous on [a,b], then for any number c between f(a) and f(b), there exists a number k in the open interval (a,b) such that f(k)=c.
What is the Intermediate value theorem?
100
Determines whether a point is a minimum, maximum, or neither.
What is first derivative test?
200
A German mathematician and philosopher, who developed calculus independently.
Who is Gottfried Wilhelm Leibniz?
200
Mrs. Huffs oldest child.
Who is Declan?
200
Integrate ∫csc^2 xdx
What is -cotx + C?
200
What theorem states: the function f(x) is continuous on [a,b], the first derivative exists on the interval (a,b) and f(a)=f(b); then there exists a number c on (a,b) such that f'(c)=0
What is Rolle's theorem?
200
A function that is only increasing or only decreasing.
What is monotonic?
300
German mathematician, he generalized the concept to cover a broader category of functions, and the Riemann sum was named after him.
Who is Georg Friedrich Bernhard Riemann?
300
The age at which Mrs. Huff began to play soccer.
What is 8 years old?
300
Integrate ∫6x^5 - 18x^2 + 7dx
What is x^6 - 6x^3 + 7x + C?
300
What theorem states: A function f(x) is continuous on [a,b] and the first derivative exists on the interval (a,b), then there exists a number c such that f'(c)= (f(b) - f(a)) / (b - a)
What is the mean value theorem?
300
Determines whether the function is concave down, or neither at a point
What is second derivative test?
400
An Italian mathematician and astronomer, that described the physical world in terms of measurable quantities.
ex: time, distance, force, and mass
Who is Galileo Galilei?
400
Has been a young life leader for this many years.
What is 3 years?
400
Integrate ∫(e^x)/(1 + e^x) dx
What is ln(1 + e^x) + C?
400
The equation for the first fundamental theorem of calculus.
What is b
∫f(x)dx = F(b) - F(a)
a
400
Approximating the value of a function by using the equation of the tangent line at a point close to the desired point
What is linear approximation?
500
A Scottish mathematician who invented logarithms.
Who is John Napier?
500
At what college did Mrs. Huff attend?
What is Point Loma Nazarene University?
500
Integrate ∫tanxdx
What is -ln|cosx| + C?
500
The equation for the second fundamental theorem of calculus.
What is d b(x)
--- ∫ f(t)dt = f[b(x)]b'(x) - f[a(x)]a'(x)
dx a(x)
500
The local and global maximums and minimums of a function.