Multiplying both sides by 
gives
so that substituting 
and hence 
gives the linear ODE,
Now multiply both sides by 
to get
so that the left side condenses into the derivative of a product.
![\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E3v%5D%3D3x%5E2)
Integrate both sides, then solve for 
, then for 
:
![\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D%5Csqrt%5B3%5D%7B1%2B%5Cdfrac%20C%7Bx%5E3%7D%7D%7D)
A] <span>A remote-control airplane descends at a rate of 2 feet per second. After 3 seconds it is 67 feet above the ground.
the point slope equation will be given as follows:
y-y1=m(x-x1)
where:
slope,m=2 ft/sec
(x1,y1)=(3,67)
thus plugging in the values in the formula, we obtain the point slope equation as follow:
y-67=2(x-3)
Answer:
</span>y-67=2(x-3)
b]The height of the plane after 8 seconds will be:
x=8 sec
but:
y-67=2(x-3)
substituting x=8 we get:
y-67=2(8-3)
y-67=2(5)
y=10+67
y=77
thus the height after 8 seconds is 77 ft
Answer:
6
Step-by-step explanation:
66
Answer:
Step-by-step explanation:
First we need the length of the hypotenuse.
20^2 + 21^2 = c^2
400 + 441 = c^2
841 = c^2
29 = c
If you are using angle B as your theta (angle from which the relations are formed:
a) sin = O/H = 20/29
b) cos = A/H = 21/29
c) tan = O/A = 20/21
Answer:
x=10
Step-by-step explanation:
1) combine ALL like terms
5x-4+5x-4+3x+58=180
5x+5x+3x=13x
-4-4+58=50
13x+50=180
2) subtract both sides by 50
13x+50-50=180-50
13x=130
divide both sides by "13"
x=10
Hope this Helps!
