Answer:
The equivalent expression is:
Step-by-step explanation:
We have been given the equation:
Equivalent expression can be computed by solving the expression ai its maximum.
We can factorize the given equation:
By using 
Here, 
Hence, we get the equation below:
Therefore, the equivalent expression is:
Multiply the original DE by xy:
xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)
Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes
x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0
This final equation is easily recognized as separable:
dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides
You have no choices listed but here's the answer:
(85 + 91 + x) / 3 = 94
Multiplying both sides by 3
85 + 91 + x = 282
x = 106
In order for her to get a 94 average she would need a mark of 106 on her next test.
Month_1 Value = Month_0 Value * 0.95
Month_2 Value = Month_1 Value * 0.95 = Moth_0 Value * 0.95*0.95 = Month_0 Value * 0.95^2
Month _n Value = Month_0 Value * (0.95)^n
After 2 years ==> n = 24
Month_24 Value = Month_0 Value * (0.95)^24 = 2,000,000 *(0.95)^24 = 583,978.05
To make a perfect square, we must know that 22/2 = 11. In this case:
(x + 11)^2 = x^2 + 22x + 121
