Algebra
Pre-Calculus
Differential Calculus
Integral Calculus
100
The graph above depicts a ___ function.
What is a quadratic function?
100
The common factor for x2 - 4x - 5 and x2 - 6x - 7.
What is x + 1 ?
100
Before prom, calc teachers might say: "Don't drink and ___"
What is derive?
100
The formula for the solid of revolution resulting from rotating the curve y=f(x) about the x-axis between x=a and x=b
What is
V= pi int_b^a y^2 \ dx
200
X at Y is defined as (x3-y)/x, this is the value for 5 at 10.
What is 23?
200
The slope of PQ, given P = (-1, 2); Q = (3, 5).
What is 3/4?
200
f(x) = 8x3 + 81x2 - 42x - 8 has horizontal tangent lines at these points.
What is x = -7 and x = 1/4?
200
∫1x 1/t dt
What is the natural logarithm?
300
The explicit rule for the sequence {2, 7, 16, 30, 50, 77...}
What is xn = 1/6 n(n + 1)(n + 5)?
300
limn->∞ (1+1/n)(nx)
What is the exponential function?
ex
300
Approximate √39 using the tangent line to y=√x at an appropriate point.
What is 6.25?
300
∫03 1/√(9-x2) dx
What is pi divided by 6?
400
Water flowing through two hoses can fill a tank in 40 minutes. Water flowing through both the small hose and a large hose at the same time can fill the tank in 18 minutes. This is the time it takes for only the large hose to fill the tank.
What is 360/11? (32.72)
400
The Chrysler building in NYC casts a shadow approximately 130 feet long on the street when the sun's rays form an angle of about 82.9 degrees with Earth. This number is the height of the building.
What is 1024 feet?
400
The function f(x) = x2 + 1/x is concave down in this interval.
What is (-1, 0)?
400
∫ex cosx dx
½ (ex sinx+ex cosx) +C
500
If (x+y)/2 = 5 and (x-y)/2=2. This is the value of x2-y2
What is 40?
500
This many liters of 50% anti-freeze need to be mixed with 80 liters of 20% anti-freeze to get 40% anti-freeze.
What is 160?
500
A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 50 meters above the ground.
What is 0.04? (1/25)
500
Given the differential equation (x2+4)dy/dx=xy, find the particular solution determined by the initial condition y=3 when x=-√5
y=(1/3) (x2+4)0.5