Answer:
Step-by-step explanation:
Given
<em>-- Corrected</em>
Required
Use the GCF to write it as a distributive property
First, we find the GCF of 75 and 45
The common factor is:
So, becomes
Factorize
<em>Hence, the sum has been rewritten as </em>
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Answer:
Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other. After two hours, they are 232 miles apart. What is the average speed of each train?
52 mph; 64 mph
55 mph; 70 mph
92 mph; 104 mph
98 mph; 110 mph
Step-by-step explanation:
Answer:
Step-by-step explanation:
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
