3- If X-hyp(n, D, N) then, the second factorial moment of X is n(n-1)D(D-1) N(N-1) True False 4- If X is an exponential with parameter 1, then 2X is chi-square with 2 degrees of freedom. True False

Q: 5) — = [(-D)" (2-1)", when 12-1}<1. n=0

A: Introduction: A geometric series is a type of series which is in the form as follows:…

Q: S(x + 1)(2 – x)° dx 7(2 - x)* - (2 - x)* +c 7(2 - x)* -(2 – x)* +c 3. (2 - x)* +(2 – x)* +c 금(2-x)*…

A:

Q: A culture of bacteria obeys the law of uninhibited growth.(a) If N is the number of bacteria in the…

A: (a) In uninhibited growth the population at time t is given by an exponential function of the form…

Q: Q5. Find z (1) 3 log, 2+log, 25-log, 20 = log (2) logą z + logs (2-3) = log, 10 (3) Inz-10.1285

A: As we know from the logarithmic properties: 1). logbxa=a·logbx  where x,b&gt;0, b≠1 2).…

Q: ab³/2 (7) If x = then log(x) = c2d' %3D (A) log(a) + log(b) - 2log(c) - log(d) (B) log(a) + log(b) -…

A: Given problem:-

Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: 1 [log, (x- y) - log; (x+ y)]

A: Given that: 12log5(x2-y2)-log5(x+y)

Q: Show that if (B) (C) N N then the value of neither x nor y can exceed 1/4. (A) N = X, 2x, = 3x and…

A:

Q: For the curve which is the graph of the vvf r(t) = ti + √²t² j + ½t³ k, find the unit tangent T(t),…

A:

Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

Q: log5 (x – 6) + log5(x + 3) = log5 10 %3D

A: Given  log5(x-6) + log5(x+3) = log510

Q: 2 - matrix A and that h(T) = T? – 2T – 7 -

A:

Q: 12. Which function describes exponential decay? c. Ax) = 25(0.8)* а. Ах) - 6(1.01)* b. Ax) =…

A: The solution is :

Q: 2x+11 1 Consider f dx = x2+x-6 x-2 x+3 then evaluate S(-dx xp(* - 3 x+3

A:

Q: Ž ( – 1)"x" 1+x

A: Given the power series

Q: Denote owl and wood rat populations in a particular area at time k by xk LK Rk where k is the time…

A:

Q: Given that f(x) = -x+6 and g(x): = = x", 2 3 what is the value of f (g(-3))?

A:

Q: Find LN F *x+2 7. *+10

A: Solution AA (or AAA) or Angle-Angle Similarity Criterion: AA similarity criterion states that if any…

Q: 11) Showing all work, give the best possible big-0 estimate for each of the following functions: a)…

A:

Q: Find lower bound for f(n) = 5n².

A: f(n)=5n2f(1)=f(-1)=5f(2)=f(-2)=5×4=20f(3)=f(-3)=5×9=45f(4)=f(-4)=5×16=80... ⇒…

Q: 3/2 = n/6

A:

Q: 4x2+y = 40 then evaluate when = 3 and y 2. dx? (Answer accurate to two decimal places.)

A:

Q: Show beta (a,b) belongs to the z- parameter exponential family.

A: