Given Yy - y = – ỹ Yy - y + y. - ỹ and (y — У )? [(Yj – J,) + ỹ, – ỹ )]² 2. %3D
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STAT: Experimental Design
![Given
Yu -y = Yi - , + }, -J.
and (y — Ў )
[(Vj – 7;) + V, - ỹ )]²
i.
Show that (y, -7)' = (yg – ỹ,)° + (ỹ, - ỹ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5304c63-95f7-4766-ba86-4e71fdd25171%2Fbe92b37d-cc06-47a2-8d05-31fd24d102a7%2F754muu_processed.png&w=3840&q=75)
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- Consider z = z (x, y) Find (∂z / ∂x )and (∂z / ∂y )by implicit derivation and confirm that the result obtainedSolve y′ = y^3cos x (Show clear work!Suppose that the temperature in degrees Celsius at a point(x, y) on a flat metal plate is T (x, y) = 10 − 8x2 − 2y2,where x and y are in meters. Find the average temperatureof the rectangular portion of the plate for which 0 ≤ x ≤ 1and 0 ≤ y ≤ 2.