Homework Statement
Length of curve: y=1/2(ex-e-x) from 0 to 2
Homework Equations
s = ∫√[1+(dy/dx)^2] dx
The Attempt at a Solution
[sqrt(4+2e^(-x)+e^x)]*[-1+e^x]/[1+e^x].
= 3.323971
Homework Statement
Determine the volume of a sold obtained by rotating the region bounded by y=x^2-2x and y=x about the line y =4
Homework Equations
The Attempt at a Solution
Let:
y1 = x
y2 = x^2 - 2x.
v be the volume.
y1 and y2 meet where:
x^2 - 2x = x
x^2 - 3x = 0
x(x - 3) = 0
x = 0, x = 3...
but it doesn't technically have a hole that goes all the way through rite? wouldn't that still make it a disk? i know it has a like a big chunk out of it
Homework Statement
Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by
y=x^2
y=2x
about the x-axis.
Homework Equations
V= pi* integral [a,b] r^2
The Attempt at a Solution
So i used intergral 0 to 2 (2x-x^2)^2 dx
this is wat i...
Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by
y=x^2
y=2x
about the x-axis.
So i used intergral 0 to 2 (2x-x^2)^2 dx
this is wat i got...
pi*(((2^5)/5)-(4(2^4)/4)+(4(2^3)/3))
its wrong so wat did i do wrong?:confused:
Homework Statement
A constant-volume gas thermometer is calibrated in dry ice (that is, carbon dioxide in the solid state, which has a temperature of -80.0°C) and in boiling ethyl alcohol (78.0°C). The two pressures are 0.861 atm and 1.569 atm.
(a) What Celsius value of absolute zero does...
no we haven't covered that so wat pressure wud i used for when its just about to break the surface of the water since i don't know exactly how deep it is? wud that just be 1 atm?
Homework Statement
An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 26.0% of its original volume and the temperature is increased to 32.0°C.
(a) What is the tire pressure?
Homework Equations...
Homework Statement
At 24.0 m below the surface of the sea (density = 1025 kg/m3), where the temperature is 5.00°C, a diver exhales an air bubble having a volume of 1.20 cm3. If the surface temperature of the sea is 20.0°C, what is the volume of the bubble just before it breaks the surface...
why is this wrong...THRUST?? i showed work!
Homework Statement
A rocket for use in deep space is to have the capability of boosting a total load (payload plus the rocket frame and engine) of 2.25 metric tons to a speed of 10 000 m/s.
If a different fuel and engine design could give an...
Homework Statement
An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 26.0% of its original volume and the temperature is increased to 32.0°C.
What is the tire pressure? Pa
Homework Equations...