Integrals
Derivatives
Calculator
Graphing
Misc.
100
The integral from -2 to 2 of sin(x)dx
What is 0?
100
This is the derivative of 3x^2 + 2x + 1
What is 6x + 2?
100
This is the mode your calculator should always be in (unless specified otherwise)
What is radians mode?
100
These are found by setting f'(x) = 0 and testing the found values for x as well as the endpoints
What are extrema (or maximum and minimum)?
100
This is the mathematics of change
What is calculus?
200
The indefinite integral of [(sin(x))^2 + (cos(x))^2]dx
What is x + C?
200
This is the derivative of the graph of |x| at x = 0
What is undefined?
200
TIME LIMIT OF 20 SECONDS!!! This is the value represented by the integral from -4 to 8 of (2x + 6)dx
What is 120?
200
This is the concavity of a function when the second derivative is negative
What is concave down?
200
These are the angles in degrees at which the tan(θ) is undefined
What are 90 degrees and 270 degrees?
300
The indefinite integral of [sin(x) + 2]dx
What is -cos(x) + 2x + C?
300
if the position of a particle is f(x)=2x^3 + 5x - 2 at t=3 this is the acceleration of the particle.
What is 36?
300
TIME LIMIT OF 35 SECONDS!!! Find the intersection of f(x) = 3x^2 + x - 4 and x = 0.5
What is -2.75?
300
DAILY DOUBLE!!! These are the signs of the first and second derivative, respectively, when a function is increasing and concave down
What are positive and negative?
300
This occurs to an object when an object's velocity is negative and acceleration is positive
What is slowing down?
400
This is the sign of the value of the integral from -2 to 1 of 2xdx
What is negative?
400
This value represents the answer to the given scenario: a ladder 20 feet long leans against a building. If the bottom of the ladder slides away from the building horizontally at a rate of 4 ft/sec, how fast is the ladder sliding down the house when the top of the ladder is 8 feet from the ground?
What is -[√(336)]/2?
400
TIME LIMIT OF 25 SECONDS!!! This value is the angle (to the nearest whole degree) at which sin(θ) = 0.940
What is 70 degrees?
400
This is the sign of the first derivative for (4x)/(x^2 + 1) when x = 0.5
What is positive?
400
This is the amount of time it takes for 10 grams of a plutonium isotope to decay to 1 gram, knowing that the half life of the plutonium isotope is 24,100 years
What is about 80,059 years?
500
This value is the volume of a solid of revolution formed by revolving the region bounded by y = √x and y = x^2 about the x-axis
What is 3π/10?
500
These values represent the answers to the given scenario: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. What are the dimensions of the field that has the largest area?
What are 600 feet and 1200 feet?
500
This is the value representing the answer to the given scenario: the velocity of a particle at time t is given by v(t) = 1 + 2sin[(t^2)/2]. Find the total distance the particle travels from time t = 0 to time t = 3
What is 5.301?
500
This is the number of zeroes for the graph of f(x) = 2sin(x) + (3π/4)
What is zero?
500
This is the general solution of (x^2 + 4)(dy/dx) = xy (Hint: y = 0 is a solution)
What is y = C√(x^2 + 4)?
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