If f(x) is continuous on the closed interval a ≤ x ≤ b, then f(x) has a global maximum and a global minimum on that interval.
What is The Extreme Value Theorem?
100
DOUBLE JEOPARDY: A Calculus rule that states that the rate of change of a composite function is the product of the rates of change of the outside and inside function.
What is the chain rule?
100
(cos2
What is cos(2
100
f'(x) of g(x)/w(x) = [g'(x)*w(x) - g(x)*w'(x)]/w^2(x)
What is the quotient rule for derivatives equation?
100
Psychology, Sociology, Criminology, English
What is Sydney's top major choices?
200
The Global Maximum of f(x) = x^3 - 3x^2 + 20 on -1 ≤ x ≤ 3
What is The Global Maxima are at x= 0 and x=3 with a maxima of 20 ?
200
The derivative of (t^3+4)^32
What is 96t^2(t^3+4)^31?
200
Derivative of s(
what is cos2
200
The derivative of 3x(6x^2)
What is 54x^2
200
Macalester (Minneapolis), Washington University (St. Louis), UWM (Milwaukee), and Reed (Portland).
What is the schools Sydney has applied to for the next school year?
300
The Global Minimum of f(x) = (x+1) / (x^2+3) at -1 ≤ x ≤ 2
What is Global minimum is 0 at x= -1?
300
The derivative of (3x^4 + 5x + e^3)^(1/2)
What is 1/2(12x^3 + e^3 + 5)(3x^4+5x+e^3)^(-1/2)
300
The derivative of f(x)= sec(3x^5)
What is [15x^4 sec(3x^5)tan(3x^5)]?
300
The derivative of (6x^3 + 5x)/(4x+3)
What is (48x^3 + 54x^2 +15) / (4x+3)^2
300
Doing homework in small doses over the whole chapter instead of trying to do it all in one night at the end of the chapter.
What is the skill that Sydney wants to work on for next semester?
400
The Global minimum of f(x) = x -2 ln(x+1) at 0 ≤ x ≤ 2
What is Global minimum is -0.386 at x=1?
400
The derivative of cos(sin(3x+4))
What is -3sin(sin(3x+4)(cos(3x+4))
400
Derivative of f(x) = 4tan-1(3x4 + 6)
What is f’(x) = 4 / [1 +(3x^4 + 6)^2] ?
400
The derivative of [6x^4(e^x)] / (5x^4+3x^3+6)
What is [e^x(30x^8 + 258x^7 + 126x^6 + 36x^4 + 144x^3)] / (5x^4 + 3x^3 + 6)^2
400
Sydney realized that she works the best when she has background music playing in her room. TV is too distracting, but silence for some reason also gets her off track, so her ideal working conditions involve playing soft music.
What is a study tactic that Sydney has discovered this semester?
500
FINAL JEOPARDY: How high a grapefruit goes if the grapefruit is tossed straight up with an initial velocity of 50 ft/sec. The grapefruit is 5 feet above the ground when it is released and travels given by the following equation: y= -16t2 + 50t + 5
What is: about 44 feet?
500
The derivative of e^[(1+3t)^2]
What is 6(1 + 3t)e^[(1+3t)^2]
500
The 50th derivative of f(x) = cos(x)
What is -cos(x)?
500
The derivative of (6x^2+5)/(sinx) + cos(3x)*(5x^4 + 3x^3 + x)
What is {[(12x*sinx)-(6x^2 + 5)(cosx)]/sin^2(x)} + {-3sin(3x)*(5x^4 + 3x^3 + x) + (20x^3 + 9x^2 + 1)*cos(3x)}
500
Sydney needs to apply for Wash U's school scholarship, help her brother apply to college, finish the CSS profile, and collect data for her Senior Project.
What is: the academic activities that Sydney will be doing over break?