RAM
I am what R.A.M. stands for.
What is rectangular approximation method?
I am the formula for the area of a semi-circle.
What is A=½πr²?
The way you can tell if a particle is moving to the left.
What is if the velocity is negative? (or if the position is decreasing)
The area of f(x)=x2 on [0,1]
What is 1/3 square units?
The method used to find the volume when the region between y=f(x) and y=g(x) is revolved around the x-axis.
What is the washer method?
I am the type of RAM being used to find the area under a curve from 0 to 3...
(1)(6)+(2)(5)+(3)(-2)
What is RRAM (or Right RAM)?
The area of f(x)=5-x² from x=-1 to x=2.
What is 12?
The particle is moving to the right
v(t)=t2-4 on [0,10]
What is (2,10]?
Evaluate ∫ sinxdx on (0,π)
What is 2?
The method used to find the volume:
V= ∫ 2πxf(x)dx on (0,π)
What is the Cylindrical shell method?
For a function that is decreasing (like exponential decay) I am the type of RAM that will give an overestimate.
What is LRAM (or Left RAM)?
The area of f(x)=cos(x) from x=0 to x=2π.
What is 0?
The displacement of the particle
v(t)=t2-4 on [0,10]
What is 293.33?
What dy/dx equals if y= ∫ (1-t3)dx on (0,x)
What is (1-x3)?
The region between f(x) = 2 + xcosx and the x axis over the interval [-2,2] is revolved around the x axis. Find the volume using disc method.
What is 52.43 units cubed?
I am the RRAM approximation of f(x)=x²-2x on [0,6] using 3 rectangles.
What is 64?
(2)(0)+(2)(8)+(2)(24)
The function with greater area on [0,π]
f(x)=sin(x)
g(x)=cos(x)
What is f(x)?
The difference between
The integral of v(t)dt and
The integral of |v(t)|dt
What is the first is displacement and the second is total distance traveled.
What dy/dx equals if y= ∫ (1-t3)dx on (0,x2)
What is (1-x3)(2x)?
The Volume when 12(y2-y3) is revolved around the x-axis using cylindrical shell method.
What is (6pi)/5?
I am the MRAM approximation of f(x)=200-10x on [0,100] using 5 rectangles.
What is -30,000?
(20)(100)+(20)(-100)+(20)(-300)+(20)(-500)+(20)(-700)
The exact value of the area under f(x)=1/x from x=1 to x=3.
What is ln(3)?
The total distance of the particle
v(t)=t2-4 on [0,10]
What is 304?
What dy/dx equals if y= ∫ (1-t3)dx on (3x,-6)
What is -(1-x3)(3)?
The region between the graphs of y = cosx and y = sinx and the y axis is revolved around the x axis. Find the volume of the solid generated using washer method.
What is pi/2 units cubed?