3. A machine has n components, the lifetimes of which are independent. However the whole machine will fail if any component fails. The hazard functions for the components are h1(t),..., hn(t). Show that the hazard function for the machine is h(t).

Q: 1. (a) Find the critical numbers for: y = V(22 – 4) -

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Q: 2. Let us define the following functions f(x, y) = x² + 2y² y² g(x, y) = x² + (a) (3 points) (*)…

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Q: A certain brand of upright freezer is available in three different rated capacities: 16ft3, 18 ft3,…

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Q: Given f′(x)=(x−6)2(x+8), state the critical values. a)-8,-6,6 b)-6,0,8 c)-8,6 d)-6,8

A: For this problem, I assumed that given function f1(x) is (x-6)2(x+8).

Q: (b) (3 points) (*) Find a critical point of g(x, y) and determine whether it is a local maximum, a…

A: Given : gx , y=x2+y29. To find : critical point of gx,y. To check : gx,y is local maximum , local…

Q: 4. Find all the critical points of the function f(x, y) = (x² + y²) exp(y² - x²)

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Q: Find all the critical points of the function y = h(x) = In(x + 1)6 – 2x + 5. Order the critical…

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Q: Find the critical numbers of f(x)=3x3+9x−4 and classify all local extreme values.

A: A number x=a in the domain of f is called critical number of f(x) if either f'(a)=0 or f'(x) is not…

Q: Find the critical numbers of g(x) (Exact answers only) x2 %3D

A: The given function is gx=lnxx2