
please show step by step please no CURSIVE
Hope it helps.All the best
please show step by step please no CURSIVE (6 Let f(x) = (-1)" x 21 (2n)!...
please show step by step (PLEASE PLEASE PLEASE NO
CURSIVE)
2. Differentiate the following functions a) f(x)=sinº(73x+2)
please show step by step
+ (7) let f(x)= xe * Sketch f(x). Consider and local extrema, inflection points and its its and behaviour
please show step by step (PLEASE PLEASE PLEASE NO
CURSIVE)
१ 515 3. Find the equation of the tangent line to the curve + 25 =1 at the point 16
Question 6 (-1)^-1 Let fn: R + R. f.(x) = (2n-1)! -X20-1 and f(x) = f(x), XER. Find - Efox), دنیا
Recall that, for all c, = n=0 cos(x) = § 4 (-1)",21 (2n)! and sin(x) = (-1)"..2n+1 (2n + 1)! N=0 n=0 If i is defined to have the property that i = -1, show that ei cos(2) + isin(x) for any real number r.
Please show step by step solution.
7. Let X1, X2, ..., Xn be i.i.d. random variables drawn from a N(u,0%). Show that the Sample Variance (52) and the Maximum Likelihood Estimator (S) of o2 are both Consistent Estimators for o?. S2 27=2(X-X)2 and S 21-2(X;-) n-1 n (n-1)S Hint: has a Chi-Square Distr. with (n − 1) degrees of freedom. E(x{n-1)) = n-1,V(xin-1)) = 2(n − 1)
3) Let N- 11,2,3,... and Nx N -(m,n) | m,n E N. Consider f NxN-N given by f(1,2)-3 | f(2,2)-6 | fa, 21-12 f (1,3)-5 f (2,3)10f (3,3)- 20 f (1,4) 7 f (2,4) 14 f (3,4) 28 2m-i (2n-1). Show, that f is one-to-one and In general "f(m, n) onto.
3) Let N- 11,2,3,... and Nx N -(m,n) | m,n E N. Consider f NxN-N given by f(1,2)-3 | f(2,2)-6 | fa, 21-12 f (1,3)-5 f (2,3)10f (3,3)- 20...
Please do not write in cursive, as I cannot read cursive. Please
explain how you got the answers and show the work. Thank you very
much
in-too An does not? 1) Could there be a sequence {an}= {f (n)} such that limita—700 f (x) exists, but limit 2) Could limit noo An exists but not for limitx-700 f(x) 3) Discuss your options , you can give an example to enhance your reasoning.
6. Let f:Q+R be integrable over the n-rectangle Q, and suppose f(x) > 0 for all x € Q. Show that ſo f > 0. (Be careful: it is possible for m (f) = 0 for a subrectangle RCQ, even when f >0.)
1. a) Let A = {2n|n ∈ ℤ} (ie, A is the set of even numbers) and define function f: ℝ → {0,1}, where f(x) = XA(x) That is, f is the characteristic function of set A; it maps elements of the domain that are in set A (ie, those that are even integers) to 1 and all other elements of the domain to 0. By demonstrating a counter-example, show that the function f is not injective (not one-to-one). b)...