Consider E={-2+1/n} n=1 to infinity U (3,9) as a subset of R with the usual definition of < (less than) a

Q: Q: Interpret the vate of change f y = (-2 Jn=+1 + 5) (45 -2) with Yespect to

A:

Q: Evaluate (Vx+ f. d dx. OA. A. Vx2 + 2 + a² - a In + C O B. Vx2 + a² - In |x| C. Vx2 • a? + In- + C…

A:

Q: )(2n) for conplex number sequance show that if lm En=1 then 3no fN such that for for Hn 7 no o Znto.…

A:

Q: Q. AfX-Y where X,Y € Z* , and 0<X <23 and, 0s Ys59, X is hour of clock and Y is minute of digital…

A: Given: f: X→Y , where X is hour of clock and Y is minute hand of clock It can be clearly observed…

Q: -. For any integer m and any real number x, if x is not an integer, then [x]+[m- x] = m-1.

A:

Q: Find the lexact and then appeximate) value (s) of K that will make the given function continous over…

A: Finding the left and right limits at x=4:

Q: If X is uniform in the interval [-3,3] compute X(i.e. E{X}) and o² (i.e.E{(X-X)²}).

A: Given that X ~ U[-3,3] to find mean and variance

Q: Prove that, there is no simple grcup of order 200.

A:

Q: best Rank 2 approximation F ind weth respect to I|F|l the where to A -1 2 -1

A:

Q: The value of the Wronskian of set of functions {x² - 3x +1, 2x² - 6x + 2} is O a. 13x O b. 7x? 2x? O…

A:

Q: (c) Prove that for n ≥ 1, n [27/7/2≤2- j² 1 n

A:

Q: d) Let the set A = {1, 2, 3,4} and let P(A) denote the power-set of A. Consider the following…

A:

Q: A. If X~N(196,20), find x such that Pr(X < x) = 0.945.

A:

Q: Prove that coth-la = In x +1 for |a| > 1 x - 1

A:

Q: Which of the following function is NOT Q, (n)? А. п —333п? nlgn С. п-1gn D. 219 n E. None Е.

A:

Q: What is true about the function -- asx-m? OAM-f B) (x) 0 from below OC) f(x) is undefined OD)x) from…

A:

Q: Let X~ N (24, 49), Find P( 10<X< 38)

A: Given sample are: 24, 49 Mean of these samples are: μ=24+492=36.5 Standard deviation:…

Q: f. Is the domain of f(x.y)= In (6x + 5y“) bounded or unbounded? O Unbounded O Bounded

A: the domain will be Unbounded because

Q: Let a1, a2, ...,a, be real numbers that are all contained in the interval [-7/2, 7/2]. Use the…

A:

Q: Find ||f||sup if - f(x) = x on (-1,1). -. f(x) = 0 {²-2² if x EQ, -x² if x #Q, for all x ER.

A:

Q: Prove that In (1tx) Lx for without using the value the orem. mean

A:

Q: Let p denote 3x E Z such that P(x)" and q denote dx E R such that P(x)". Ğive a simple definition…

A:

Q: dy 18. x dx - (1 + x)y = xy %3D

A:

Q: How many injective functions f: {1,2,3,4} {1,2,3,4,5} are there with f(n) < 2n? O 12 O 36 O 24 06

A:

Q: Let x and y be positive real numbers. Prove that a + y > 2/xy.

A: See solution below

Q: Let (t)= a. b. 2 53 (t² + 1 (t²-t 1|SL|SII e - e if 0 ≤ t < 2 if 2 st C ++ 211212 C. c. +-e-²5+/ d.…

A:

Q: Show that it is always true that f(AUB) = f(A) u f(B) and f(ANB) (f(A) AT (B), (@) show by example,…

A:

Q: Supppose that X ~ N (2; 3). Find P (1 &lt; X &lt; 4).

A:

Q: let a and m be the integers with gcd(a,m)=1, what is the relation between ord m (a) and ord m (-a)

A:

Q: Let f be an entire function such that |f(2)| < A + B|z|" for all z E C, where A and B are positive…

A:

Q: If |Z| ≤ 1 and w) ≤ 1, then show that |zw|2s (1z|-|w|)² + (arg z - arg w)²2.

A:

Q: Let|a| = 32, the number of right cosets of (a²) in is:

A: Given          |a| = 32 Then, &lt;a&gt; = { a , a2 , a3 ,  .  .  .  , a32 = e } ,  where e =…

Q: onal the (i) Int(A) (ii) (A) and A (iii) Whether or not A is open or closed.

A: