Example – 9: Suppose that R(t) = t e¬9t, t > 0 i) What is the MTTF ? ii) What is the expression for f(t) ? iii) What is the hazard rate or failure rate function h(t)

Q: Differentiate the function. H(z) = In a2 - z2 a2 + z? H'(z) :

A: Given function, Hz=lna2-z2a2+z2

Q: Find the domain and range oT . f(x) = 1 i) f(x) = ii) x-1 1+vx

A: Given: fx=xx-1fx=11+x

Q: them to evaluate Ax) f'x) b. dx а. 3 -4 Ix=9 -2 9. 6. 0.25 6.

A:

Q: 5 Suppose ƒ ƒ(x) dx if 6 = 10 2 and f f(x) dx = 9. and 7 Ma 5 10 Determine the value of f 6 f(x) dx.…

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Q: Question number 2.

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Q: Find the maximum and minimum values of the function f(x, y) ey subject to a + y° = 16 Maximum value:…

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Q: What is the x and y intercept for this problem?

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercepts take P=0

Q: (4)using the relation F= Vn show that J1(x) cos x %3D

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Q: Sr- 3, I0' Example 1.7.21. Given the function f(r) = find f(3).

A:

Q: x-2 where is f not differentiable? If f(x) = x-3

A: f(x)=x2-2x-3   Vertical asymptote of the above function is x=3

Q: uppose that X has mean excess loss e(x) = x +1 for > 0. a) Find S(x), f(x), and h(x).

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Q: Suppose that 0 <q<pand that F(h) = L+0(hP) show that F(h) = L+0(ha).

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: If P(E/F) = P(E) then P(F/E) = P(F)? True or false

A: Given: PEF=PE ⇒PE∩FPF=PE⇒  PE∩F=PE×PF Then, PFE can be calculated as, PFE= PE∩FPE…

Q: 1 Find the extrema of the function f (x) = 2-e-* O a) (2, e-2) O b) no relative extrema c) (2, e²),…

A: Differentiate the given function to and equate that to zero to find the critical points.

Q: find absolute extrema of f(x)=x+1/x ; x&gt;0

A: