Derivatives
LRAM, RRAM, or TRAM
Area
Volume
Limits
100
The derivative of sin(x)
What is cos(x)?
100
Full name for LRAM.
What is Left Rectangular Approximation Method?
100
The area of the region bounded by the x-axis, y=square root of x, and x=4.
What is 16/3?
100
Name three methods of determining volume by integration?
What is the disc method, washer method, and shell method?
100
The limit as x->0 of sin(x) / x
What is 1?
200
The derivative of 10(x^3)
What is 30(x^2)?
200
From least to greatest, order LRAM, TRAM, and RRAM for the area of y=(x^3)+7 from x=2 to x=4.
What is LRAM, TRAM, RRAM?
200
The area of the region bounded by y=(x^2) and y=4.
What is 32/3?
200
The volume of the solid resulting from rotating the region enclosed by y=x^2 and y=x^3 about the vertical line x = 1
What is approximately x=0.209?
200
The limit as x->infinity of [3(x^3)+4(x^2)+7]/[5(x^2)+6(x^3)]
What is 1/2?
300
The derivative of 8(x^6) + 2(x^17)
What is 48(x^5) + 34(x^16)
300
The area of (x^3)-3(x^2)+x+4 using RRAM with four equal sub-intervals from x=0 to x=4.
What is 36?
300
The area bounded by the functions y=sin(x), y=x, x=pi/2, x=pi.
What is 2.701?
300
The volume of the solid resulting from rotating the region enclosed by y=sin(X) and y=x^2 about the horizontal line y = 1.
What is 0.573?
300
The limit as x->5 of [(x^2)-25]/[(x^2)-4x-5]
What is 5/3?
400
The derivative of (5/3)(x^3) - (7/6)(x^6) + (6/4)(x^8)
What is 5(x^2) - 7(x^5) + 12(x^7)?
400
Which method of RAM would be an over-approximation to determine the area of y=(x^2)+1 from x=0 to x=4?
What is RRAM?
400
The area of the region bounded by the functions y=(x^2)-4x and y=2x
What is 36?
400
The volume of the solid resulting from rotating the region enclosed by y=x^2 and y=x^3 about the vertical line x=-1.
What is 0.838?
400
The limit of x->(-3) of |x+1|+(3/x)
What is 1?
500
The derivative of (1/2)(x^(3/2)) - (22/7)(x^(-5/2)) + (x^(3/7))
What is (3/4)(x^(1/2)) + (55/7)(x^(-7/2)) + (3/7)(x^(-4/7))?
500
If at x=0 y=10, x=3 y=18, x=6 y=22 and x=9 y=24, using LRAM, what is the area of the function from x=o to x=9?
What is 150?
500
The area of the region bounded y=(x^4)-4(x^2)+4 and y=(x^2)
What is 8?
500
The volume of the solid resulting from rotating the region enclosed by y=sin(x) and y=x^2 about the horizontal line y=-1.
What is 1.131?
500
The limit as x->2 of (2x)/[(x^2)-4]
What is DNE?
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