Answer:
x = 12
Step-by-step explanation:
5x - 30 = 2x + 6
3x = 36
x = 12
We want to find 
such that 
. This means
Integrating both sides of the latter equation with respect to 
tells us
and differentiating with respect to 
gives
Integrating both sides with respect to gives
Then
and differentiating both sides with respect to 
gives
So the scalar potential function is
By the fundamental theorem of calculus, the work done by 
along any path depends only on the endpoints of that path. In particular, the work done over the line segment (call it 
) in part (a) is
and does the same amount of work over both of the other paths.
In part (b), I don't know what is meant by "df/dt for F"...
In part (c), you're asked to find the work over the 2 parts (call them 
and 
) of the given path. Using the fundamental theorem makes this trivial:
It takes him 35 + 4 = 39 total minutes one way, so it would take him 39 x 2 = 78 minutes for 1 round trip.
convert 5 hours and 12 minutes into minutes: 1 hour = 60 minutes.
5 hours x 60 minutes = 300 minutes.
300 + 12 = 312 total minutes for the week.
Divide total minutes by minutes per round trip:
312 / 78 = 4 round trips total
Answer:
Step-by-step explanation:
You may have entered the measure of a side as the measure of an angle.
You are correct. Good job!
12 inches = 1 foot
Let x=length of 2nd balance beam in feet
by ratio and proportion
1/12 = x/162
multiply noth sides by 162 to isolate x
(1/12)(162) = (x/162)(162)
162/12 = x
13.5 = x
Source -->https://socratic.org/questions/at-the-gym-one-balance-beam-is-15-feet-long-while-the-other-is-162-in...<--
can you help me?
brainly.com/question/3131429
