Riemann Sums
Trapezoid Method
Midpoint Method
Area Under Curve
Mr. Gauss Trivia
100
When using the Riemann sum method, n, often represents this
What are subdivisions?
100
This formula is used to find one trapezoid located under the curve
What is (h(b1+b2))/2
100
This is the formula used to find one section of the area using the midpoint method.
What is base times height?
100
This symbol represents the area under the curve, it resembles the letter, "s"
What is the integral symbol?
100
Mr. Gauss often says this phrase when reviewing before a test
What is "Hint hint"?
200
Using a left Riemann sum, find the area under f(x)=x+1 on the interval from (0,3) n=3
What is 6 units2?
200
Using f(x)=2x, over the interval (0,3) n=3 this is the area under the function found by using the trapezoid method.
What is 9 units2?
200
f(x)=x, over the interval (0,6) n=3 use the midpoint formula to find the area under the function.
What is 18 units2?
200
Using f(x)=x+1, graph the function and find this area under the curve from the interval (3,7)
What is 24 units2?
200
Finish this phrase: "Don't forget the +C..."
What is "or else your grade will be a C+"?
300
Using a right Riemann sum, find the area under f(x)=2x+3 on the interval from (0,4) n=4
What is 32 units2?
300
Using the trapezoid method, this is the area under the function, f(x)=-x+4, over the interval (2,6) n=4
What is 0 units2?
300
Using the midpoint method, find this area under the function f(x)=5x-10 over the interval (0,8) n=4
What is 80 units2?
300
Graph the equation y=(9-(x-3)2)1/2 and find this numerical value, which represents the area under the curve
What is 4.5pi or 14.137 units2?
300
Mr. Sauce is fluent in this language, other than English, originating in Europe
What is Spanish?
400
Using the equation, y=(x-5)2-2 along with a right Riemann sum to find this area with the x values: -1, 2, 5, 8, 11. Make a table of values and use the appropriate number of subdivisions.
What is 138 units2
400
(DAILY DOUBLE) Using the trapezoid method and the equation f(x)=(x+4)2+3 find this area with the x values: -4, -2, 0, 2, 4. Make a table of values and use the appropriate number of subdivisions.
What is 200 units2?
400
Using the midpoint method and the equation f(x)=(x+2)3-5 find this area with the x values: -2, 0, 2, 4, 6. Make a table of values and use two subdivisions.
What is 120 units2?
400
(DAILY DOUBLE) Graphing the piecewise functions: y=3 {0<x<3}, y=x+3 {3<x<7}, and y=-2x+20 {7<x<10}, find this value, which is the area under the curve
What is 50 units2?
400
If he was a superhero, Mr. Gauss would want this superpower
What is the ability to sleep eight hours uninterrupted?
500
Using a right Riemann sum, find this area under the function, f(x)=2sin(x) over the interval (0,2pi) n=4
0 units2?
500
Using the trapezoid method, find this area under the function f(x)=cos(4x) on the interval (0,3pi/8) n=3
What is -pi/16 units2?
500
What is 45 units2?
500
This is the area under the curve of this piecewise function.
7-2pi units2?
500
When he was a young adult, Santa Gauss did this for his first real job
What is he programmed cable boxes?