It looks like you're asked to find the value of y(-1) given its implicit derivative,
and with initial condition y(2) = -1.
The differential equation is separable:
Integrate both sides:
Solve for y :
![y = -\dfrac1{\sqrt[3]{3x+C}}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cdfrac1%7B%5Csqrt%5B3%5D%7B3x%2BC%7D%7D)
Use the initial condition to solve for C :
![y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5](https://tex.z-dn.net/?f=y%282%29%20%3D%20-1%20%5Cimplies%20-1%20%3D%20-%5Cdfrac1%7B%5Csqrt%5B3%5D%7B3%5Ctimes2%2BC%7D%7D%20%5Cimplies%20C%20%3D%20-5)
Then the particular solution to the differential equation is
![y(x) = -\dfrac1{\sqrt[3]{3x-5}}](https://tex.z-dn.net/?f=y%28x%29%20%3D%20-%5Cdfrac1%7B%5Csqrt%5B3%5D%7B3x-5%7D%7D)
and so
![y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}](https://tex.z-dn.net/?f=y%28-1%29%20%3D%20-%5Cdfrac1%7B%5Csqrt%5B3%5D%7B3%5Ctimes%28-1%29-5%7D%7D%20%3D%20%5Cboxed%7B%5Cdfrac12%7D)
Answer:
Step-by-step explanation:
<h2>y=1/3 x-1</h2>
x intercept : y=0
1/3 x-1=0
1/3 x=1
x=3
<h2>y=-2x+6</h2>
0=-2x+6
-2x=-6
x=-6/-2
x=3
<h2>9x-y=27</h2>
9x-0=27
9x=27
x=27/9=3
The answer is 33%. To work out a percentage increase we work out the increase, so the difference between 12 and 16 is 4. We divide this by the original amount (12) and times it by 100, which gives you 33.333(recurring) which is rounded to 33%. Hope this helps!
Answer:
D. The value of the hundreds digit is 10,000 times the value of the hundredths digit.
Step-by-step explanation:
all of the other options are incorrect
0.01 x 10,000 = 100
Answer:
Step-by-step explanation:
We will use the distance formula to solve.
<em>Read more about using the </em><em>distance formula</em><em> here: brainly.com/question/15691280</em>
