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: Find all the critical points of the function f(x, y) = e" (x² + y³) and determine whether each of…

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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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A: We have given geometric distribution and two statistics associated with it and we have to check…

Q: 1,3 2,1 3,4 f(x) 2,6 3,5 3,2

A: The given tabular data is,

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Q: State H0 and H1 and the Critical Value claim: two means equal, n1 = 40, n2 = 126, α = 0.05, σ1 & σ2…

A: Answer: From the given data, Sample size(n1) = 40 Sample size (n2) = 126  Significance level (α) =…

Q: %3D For which values of a andb does the function f(x) = ax/(b + x2) have a critical point at x = 1…

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

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose an agent has the following utility function for 0 R Rlog(x) where y> 0 and R>0 . (a)…

A: (a) Case (i) U(x)=Rlog(x) Differentiate with respect to x. U'(x)=Rx Again differentiate with respect…

Q: I Find the critical points of the function f(x, y)=2x³ + x² + 5x²+² and determine which are local…

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Q: Find the critical point of the function f(x,y) = 3x2y2 + 2y2 + 2x2. a. (0.82,0) b. (0,0) c.…

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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: b) f(x) = x³ – 5x² – 5x c) f(x) = 2x³ – 3x² – 18x d) f(x) = 3x³ + x² + 2x

A: critical points of a function is the points where derivative of the function is either zero or…

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: P(L, K) = 70L0.8K0.2

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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: f(t) = V (2t - 1)

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

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Q: 3x² x² +2 Find the critical values of f(x)=·

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