Answer:

Step-by-step explanation:
Consider the given differential equation is



Taking all variables on right sides.


Let as assume,
and 
Find partial derivatives
and 
and 
Since
, therefore the given differential equation is exact.
The solution of the exact differential equation is






There is 900in in 25 yards so 900*3=2700/22=122.7
so it will be 122 pieces
Answer:
.2666667 or 26.66667%
Step-by-step explanation:
4/15 cant be simplified further. the denominator is divisible by 5 or 3, while the numerator is only divisible by 2. You can't make it smaller.
Answer:
0.71
Step-by-step explanation:
The probability is a chance of an event happening. The probability of assured event is 100% or 1.
If there is no chance of an event happening the probability is zero (0).
The probability of snowing = 0.29
The probability of not snowing = 1 - 0.29
= 0.71
Answer: equation of the tangent plane is z = 1
Step-by-step explanation:
Given equation
z = e^(-x²-y²) at point (0,0,1)
now let z = f(x,y)
Δf(x,y) = [ fx, fy ]
= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))
now
Δf (0,0) = [ 0, 0 ] = [ a, b ]
equation of the tangent plane therefore will be
z - z₀ = a(x-x₀) + b(y-y₀)
z - 1 = 0(x-0) + 0(y-0)
z - 1 = 0 + 0
z = 1
Therefore equation of the tangent plane is z = 1