Answer:
y' = (2x + y cosxy)/(2y + x cosxy)
Step-by-step explanation:
Using implicit differentiation:
y^2 = x^2 + sin xy
2y y' = 2x + cos xy * (xy' + y)
2y y' = 2x + xy' cos xy + y cos xy
2y y' - xy' cosxy = 2x + ycos xy
y' = (2x + y cosxy)/(2y - x cosxy)
Answer:
A, 2/3
Step-by-step explanation:
you rise 2 and run 3
Answer:
The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Step-by-step explanation:
Let the random variable <em>X</em> denote the water depths.
As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.
The probability density function of <em>X</em> is:

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

![=\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B5.00%7D%5Cint%5Climits%5E%7B5.00%7D_%7B2.25%7D%20%7B1%7D%20%5C%2C%20dx%5C%5C%5C%5C%3D0.20%5Ctimes%20%5Bx%5D%5E%7B5.00%7D_%7B2.25%7D%20%5C%5C%5C%5C%3D0.20%5Ctimes%20%285.00-2.25%29%5C%5C%5C%5C%3D0.55)
Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Answer for 4a. 25(n + 6)
Reason
The product (means to multiply)
Six more than a number (n + 6)
And 25 (other multiplier)
Expression is 25(n+ 6)