sorry i meant 3sin(2t)
okay so if you are supposed to square both side of the equation you should get
x^2/9=sin^2(2t)
how did you get y=4sint(2t)?
but if you were to square that you would get y^2/16=sin^2(2t)
then if you add the two equations
x^2/9=y^2/16
x^2/9-y^2/16=0
is that what...
Homework Statement
Give a Cartesian equation for the parametric curve x(t)=3sin(2t) and y=4cos(2t)
Homework Equations
The Attempt at a Solution
I'm not sure if I'm doing this right
since x^2+y^2=1
I thought
sin^2(2t)+cos^2(2t)=1 should be the right answer
am i wrong
so...
Homework Statement
A heat engine operates between a high-temperature reservoir at 690 K and a low-temperature reservoir at 320 K. In one cycle, the engine absorbs 6700 J of heat from the high-temperature reservoir and does 2200 J of work. What is the magnitude of the net change in entropy as a...
Homework Statement
A system expands by 0.75 m^3 at a constant pressure of 125 kPa. Find the heat that flows into or out of the system if its internal energy
a. Increases by 65J
b. Decreases by 1850 J
give answer kJ
Homework Equations
The Attempt at a Solution
P=125 kPA
delta...
okay so if i do it again i get
8.4 lim_{n\rightarrow\infty} \frac{sin\frac{4.2}{n}}{\frac{1}{n}}
so in the end i will get
8.4 lim_{n\rightarrow\infty}(-4.2cos(4.2/x))
did i do it right so far
so is the answer -35.28 i really don't understand how you are suppose to find the limit can...
Homework Statement
Find the limit of the sequence whose terms are given by a_{n}=n^{2}(1-cos\frac{4.2}{n})
Homework Equations
The Attempt at a Solution
I now that n^{2} goes to infinity so have to use l'hospital rule because you will have infinity*0 which is an indeterminate form...
Ei=mgh
Ef=(1/2)mv^2[1+(1/2)mr^2/mr^2]
mgh=(1/2)mv^2[1+(1/2)]
the mass cancels out
gh=(3/4)mv^2
v=\sqrt{(4/3)gh}
v=\sqrt{(4/3)(9.81)(.79}
v=3.2m/s
Is this how you are suppose to do it? I really don't know. Please help
I still don't understand what to do. Are you saying that I should use this formula E_{i}=E_{f}
so than
mgh+(1/2)mv^2[1+mr^2/mr^2]=0
v=sqrt(gh)
but i still get the wrong answer. What should i do? Where did i go wrong?
Homework Statement
After doing some exercises on the floor, you are lying on your back with one leg pointing straight up. If you allow your leg to fall freely until it hits the floor, what is the tangential speed of your foot just before it lands? Assume the leg can be treated as a uniform rod...