Averages
Find the average value of X2 on the interval [-2,4]
What is 4
The region W is bound by the X and Y axis, the line X=5, and the line Y= 1/8x3+4. W is the base of a solid with square cross-sections perpendicular to the x-axis. What is the volume?
What is 410.636 units3
The area between the functions y=x2 and y=sin(2x)2 form a region L. The functions intersect at the points (0,0) and (0.9477, 0.8982). What is the volume of the solid if L is revolved around the x-axis?
What is V=0.9208447
A car is traveling with the velocity of v(t)=15t2+sin(t). What is the displacement of the car between 3 and 5 minutes?
What is v(t)=488.726
What is the largest land animal?
What is elephant?
Find the average rate of change on the interval [0,18] of y=-1/6(x)2+6x
What is 3
The region K is bound by the lines y=14, y=6, the y axis, and the function y=x3+6. Region K is the base of a solid with square cross-sections perpendicular to the y-axis. What is the volume of this shape?
What is 19.2 units
The lines y=-1/10(x-10)2+15 and y=5 intersect at (0,5) and (20,5) to form area P. Area P is revolved around the x axis. find the volume of the resulting shape. (round to the 1000th place)
What is 1001.383 units3
What is the displacement?
(picture)
What is 22-pi or 18.858
What is Umbrella?
Find the value of x where the instantaneous rate of change is equal to the function y=x2-4x+3 on the interval [0,16]
Region R is the base of a solid whose cross-sections are isosceles right triangles with cross-sections perpendicular to the y axis. Region R is bound by the y axis and the lines y=1 and y=1/9x3+5. What is the volume of the resulting shape
What is 13.083 units3
A region R is bounded by y=x2, x=3, and the y axis. It is revolved around the y axis. What is the volume?
What is 127.235
A particle travels along the x-axis at a velocity of 1/6t2-t-2 where t is in seconds. What is the total distance that the particle travels from 0 to 6 seconds? v(t) is in m/s and t is in s.
What is 38.319 meters
how many NBA championships has Michael Jordan won?
What is 6
The tank fills at a rate measured in gallons per min. This rate is defined f(t)=(-cos(9pi/x))+8x. What is the average value of the water in the tank over the time interval [3,5]?
What is 31.64472 gallons per min?
The lines y=-1/9x2+3x and y=18 intersect to create a shape G. The area of the shape is the base of the solid whose cross sections perpendicular to the x axis form semi-circles. Find the volume of this shape with G as a base.
What is 10.603 units3
Region R is bound by y=square root of x and y=2x-x and y=1 and the x and y axis. revolve around x=2. The bounds are 0 and 1. What is the volume?
What is 1.676
A ball has an acceleration of a(t)=32x3+9x2+8x. If v(1)=16, what is the value of v(3)?
What is 772?
You dig me up when I'm dead and bury me when I'm alive. What am I?
What is a plant?
What is Emma's middle name?
What is Grace?
About how many languages are written from right to left?
What is 12?
What is this room number?
What is S2512?
This graph shows the velocity along the x axis over an 8 second period. If the object started 4 meters to the left where is the object after 6 seconds?
What is Kendall Jenner's Boyfriend's jersey number?