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
Answer:
Total volume in the two glasses is 740 mL.
Step-by-step explanation:
Given:
Ratio of the volume of soda in glass A to the volume of glass B = 8/3 : 7/2
Volume of soda in glass A = 320mL
To Find :
The total volume in the two glasses = ?
Solution:
Let the volume of soda in glass B be x
then

Substituting the values ,





x = 420
Now total volume of soda in the two glasses
=> volume of soda in glass A + volume of soda in glass B
=> 320 + 420
=>740mL
Cubes: Washer/Dryer, Spheres: Bath Bomb