Let T1, T2,, En EX and r₂ > 0, for i = 1, 2, 3,..., n. Show that N₁₁ (1) N₂ (₂) n... Nr. (n) is bounded.

Q: Let z(x) ~N(0,1) Prop (x > -0.56) = Prop (x ≤ -2.17) = Prop (-1.56 ≤ x ≤ 0.72) =

A:

Q: In each of Problems 1 through 4, sketch the graph of the given function. In each case, determine…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. If y=f(t),…

Q: 6.42. Describe the sets in which the functions below are positive. (a) f(x,y) = 1-x?

A:

Q: #: Let X₁, X₂, ..., X₁ ~ f(x) = {0x0-1 0<x< 1 find Suff. Comp. St. " e.w.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Un which of the following intervals is 1 f(x) = continuous? Vx-2 (2, + ) (-a, +) [1,2)

A:

Q: (a) Assume f: S → R is uniformly continuous and S is bounded. Prove that the range of f is bounded.…

A:

Q: Evaluate L{f(t)} for f(t) = 0, 0 ≤t<3 2, t23

A: We have to evaluate .

Q: Let be the hemisphere x 2 + y 2 + z2 = 50, z &gt; 0 and suppose f  is a continuous function with f…

A: Given H be the hemisphere                        x2+y2+z2=50, z&gt;0 and suppose that f is a…

Q: Let f(x) = x° – 2, -1< x < 3 The domain ofƒ¯is the interval [A, B]| where A = and B =

A:

Q: 18. Find numbers a and b so that r+ 4, ux + b, 3r 8, x> 3 1<r 3 is continuous everywhere.

A: we need to find a=?                          b=?

Q: 5. Assume f: [0, 1] → [0, 1] is continuous with f(0) = f(1). Prove there are x, y = [0, 1] with |x -…

A: We have to assume f: [0, 1] → [0, 1] is continuous with f(0) = f(1). and prove that there are x, y ∈…

Q: Describe the interval(s) on which the function is continuous. (TX) f(x) = sec

A: f(x)=sec⁡(πx4)

Q: 1. Let f(x) = x. Show that f is uniformly continuous on any finite closed interval [a, B] (Hint: x-y…

A:

Q: 6. Assume f(x) is a continuous function on [0, 1], prove that 3x € (0, 1) s.t. f(x) < 1/x. (hint:…

A:

Q: Solve x > 0, t> 0, x > 0, u (0, t) = f (t), t> 0, Ut = Urx; u (x, 0) = 0, u (x, t) is bounded for…

A: Given that,ut=uxxx&gt;0, t&gt;0u(x, 0)=0u(0, t)=f(t)u(x, t) is bounded for all x and t

Q: Let f, g to be two continuous functions on [a, b] and f(a) ≥ g(a), f(b) ≤ - Prove that co € [a, b],…

A:

Q: Would it be possible for a function to be continuous on [0,2) but not on [0,2]?

A: Let us consider the function f(x) =(x+4)/(x-2) .

Q: 11.What value of x is the function f(x) = Vx2 - 3 continuous? Α. x =0 B. x = 1 C. x = -3 D. х 3D -2

A:

Q: Let X~N(10,9). Find P(X < 15.88).

A: