<span>2<span>x2</span>+xy+2<span>y2</span>=5</span>Implicit differentiation yields<span>4x+y+x<span>y′</span>+4y <span>y′</span>=0</span>Solve for <span>y′</span><span>.
answer is- y = 4x+ y /5x</span>
X is 35. 180=75+3x. 180-75/3=35
Answer:
99.38%
Step-by-step explanation:
We have that the mean (m) is equal to 124, the standard deviation (sd) 6.4 and the sample size (n) = 64
They ask us for P (x <126)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (126 - 124) / (6.4 / (64 ^ 1/2))
z = 2.5
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <2.5) = 0.9938
The probability is 99.38%
(4y³ + 4y²+8)(6y - 4)
Simplify.
24y⁴ - 16y³ + 24y³ - 16y² + 48y - 32
Add like terms.
24y⁴ + (-16y³ + 24y³) -16y² + 48 - 32
Simplify.
24y⁴ + 8y³ - 16y³ + 16
~Hope I helped!~
Answer:
4
Step-by-step explanation:
8x=32
x = 4