Answer:
(0, −2) and (2, 0)
Step-by-step explanation:
Solutions are the points of intersection
Answer:
Check attachment for orderliness of question
Step-by-step explanation:
We want to the equation in an exact form
M(x, y) dx + N(x, y) dy = 0.
xy² dy/dx = y³− x³
Cross multiply
Then,
xy²dy=(y³-x³)dx
xy²dy - (y³-x³)dx = 0
xy²dy + (x³-y³)dx=0
Therefore,
(x³-y³)dx + xy²dy=0
Can only be an exact equation if and only if
dM/dy=dN/dx
From the equation
M=(x³-y³)
Then, dM/dy=-3y²
Also, N=xy²
dN/dx=y²
Since dM/dy ≠ dN/dx
Then it is not an examct equation and we can say
M≠(x³-y³)
And
N≠(xy²)
we need to bring together the terms containing x. Then constant terms on the other side. Then simplify by performing the addition/subtraction/multiplication.
Done hope it helps
Answer:
Step-by-step explanation:
Given that population average is 0.8 ampere
Sample size = 9
Sample mean x bar = 1.34 A
Sample std dev s = 0.48
![H_o: x bar =0.8\\H_a: x bar >0.8](https://tex.z-dn.net/?f=H_o%3A%20x%20bar%20%3D0.8%5C%5CH_a%3A%20x%20bar%20%3E0.8)
(one tailed test)
Mean difference - ![1.34-0.8 =0.54](https://tex.z-dn.net/?f=1.34-0.8%20%3D0.54)
Std error = ![\frac{s}{\sqrt{n} } =0.16](https://tex.z-dn.net/?f=%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D%20%3D0.16)
t test can be used since sigma is not known and sample size small
t statistic = mean diff/std error = 3.5
df = 8
p value = 0.00404
I believe this answer is correct