Answer:
C. 76.81
Step-by-step explanation:
We must use one of the trigonometric ratios to find the length, L, of the ramp. If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.
Therefore, we must use tan, which is 
:
Given a solution
, we can attempt to find a solution of the form
. We have derivatives
Substituting into the ODE, we get
Setting
, we end up with the linear ODE
Multiplying both sides by
, we have
and noting that
![\dfrac{\mathrm d}{\mathrm dx}\left[x(\ln x)^2\right]=(\ln x)^2+\dfrac{2x\ln x}x=(\ln x)^2+2\ln x](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5Bx%28%5Cln%20x%29%5E2%5Cright%5D%3D%28%5Cln%20x%29%5E2%2B%5Cdfrac%7B2x%5Cln%20x%7Dx%3D%28%5Cln%20x%29%5E2%2B2%5Cln%20x)
we can write the ODE as
![\dfrac{\mathrm d}{\mathrm dx}\left[wx(\ln x)^2\right]=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5Bwx%28%5Cln%20x%29%5E2%5Cright%5D%3D0)
Integrating both sides with respect to
, we get
Now solve for
:
So you have
and given that
, the second term in
is already taken into account in the solution set, which means that
, i.e. any constant solution is in the solution set.
I am just a middle-schooler, but like to answer, so I believe k is -1.
Answer:
Step-by-step explanation:
Answer:
Most likely the table will contain one pair of values that correspond to the coordinate where the previous lines intersect.
Step-by-step explanation:
It may be possible that the table before the third line contains values on either side of the point of intersection, but the slope will produce a line that connects those values and passes through the previous intersection.
