التاريخ 27 أمر موح let I = (a,b) be an open interval show that - for every positive s< b_ a Thureis closed interval [a, b][Carb) Such that M ([a,b]) >M(IDS.

Q: Let X~Bin(10, 0.3). What is P(X<2)?

A:

Q: Suppose f is a function defined and continuous on the open interval (a, b). Suppose g is a function…

A: Given that: f is a function defined and continuous on the open interval (a, b).g is a function…

Q: How many injective functions have domain {a,b,c} and codomain [100]?

A:

Q: Which of the following functions are analytic in 1ZK 2 and /or IZ ) > 2: iii) 2-√√24-42² 2²+62+9 ii)…

A:

Q: Prove that (23-1a,b)* = {2}-1/a})(27-1) j=1 for all real numbers a₁,..., an and b₁,..., bn. i=1

A: The detailed process is described in step 2.

Q: 3, 5x 60(x 2 + x;), 3 b) Y = In 7.

A:

Q: Exercise 2.11. Prove that n = for all n E Z. Exercise 212 Determnine whether or not the given…

A: We proof given statement by induction

Q: let f: R--&gt;R be given by f(x)= 3x^2 a. Show that f is NOT one-to-one b. is f onto? Explain

A:

Q: Driblem 3: Consider the function flx)=x3-3x+2 on the interval [-2,2]. ) Verify that f on E2,27…

A: The objective is to solve the above question.

Q: Let Z~ N(0, 1). Find P( - 2.4 < Z < 0.9). Submit Question

A: Solution-: In this case, Z is the standard normal random variable with μ=0 and σ=1. Mathematically,…

Q: Suponga que f(r) = -2 y que esta función se define en intervalo [-0.5,1]. El mínimo absoluto de…

A: Answer to the question is as follows:

Q: Show that the embedding of part (g) takes lines to "lines."

A: (h) We have to show that lines from ℝ2 maps to lines in P2. Lines in ℝ2 will be of the form ax+by=0.…

Q: 4) Using equality of sets, prove that (An B)' = A' U B'

A: we know thatA∪B=x: x∈A or x∈BA∩B=x: x∈A or x∈BA'=x:x∈U, x∉A=U \ AWhere U is a universal set.That is…

Q: Since P+ Q, it follows that [(a1 + a3 + a5) – (a2 + a4)] [(B1 + B3 + B5) + A (82 + B4)]' | P+Q =…

A:

Q: -10 -9 -8-7 -6 -5 -4 8 -7 -6 -2 -1 5 4 3 2 1 -1 -3 & 1 2 3 4 5 Graph of f 67 8 9 10

A:

Q: Using the Cauchy's inequality find a bound on "(0), when flz) = e* and C |z| = 1.

A:

Q: Let x, y ∈ R+. Prove that if x ≤ y, then x^2 ≤ y^2 by (a) a direct proof, and (b) a proof by…

A:

Q: Let Z ~ N(0, 1). Find P(Z > 1).

A: Z~N(0,1). This implies that Z is a Standard Normal Random Variable. The PDF of Z is given by,

Q: Find f') usig the deri vative rules. f@)= 4x2 +2x- 3 +2x -3

A:

Q: On which interval or intervals or if there is any, the Mean Value Theorem applies for f(x)=√x² - 4…

A:

Q: 26) Setup, but do not evaluate, L4 on y = x² - 3 on the interval [6, 14].

A: