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12) Let f(A) = x + 1 xxo 0 x=0 (ax+ 2 x>0 a) Find lim f(x). X-70 b) Find lim F(x). X70 c) Find lim f(x). 13) Let f(x) = x - x .O 12.1 x 0 a) Find lim f(x). 6) Find
for x<4 Evaluate m(-3) where m(x) = {22.4 for 45x< 1 |vx-1 for x 21 0-13 O 2, 5, 2i O2 O 2.5 O 5
5) In Goy), with inner product < 1.8>]s«g(x)dx, let S(x)=x"$(x)=x', a) Computer />; b) Find the "angle" between the two functions.
Let X be a random variable with pdf S 4x3 0 < x <1 Let Y 0 otherwise f(x) = {41 = = (x + 1)2 (a) Find the CDF of X (b) Find the pdf of Y.
(d). Let X, X,...,x be a random sample from the Normal(0,0) distribution, 0 >0. Find the uniformly most powerful test for H:050 versus H,:0>
1 Let X1,..., Xn be iid with PDF x/e f(x;0) ',X>0 o (a) Find the method of moments estimator of e. (b) Find the maximum likelihood estimator of O (c) Is the maximum likelihood estimator of efficient?
Find exact values under the given conditions
3. Find the exact value of cos (a + b ) under the given conditions: tang = - <a<n; cosß = 1, 0<B<
3. Let D(x) = 18 – 0.4x, S(x) = 3 +0.1x for 0 < x < 40. a. Find the equilibrium point. b. Find the consumer's surplus. C. Find the producer's surplus.
Previous Problem Problem ListNext Problem (1 point) Let g(x) - Vx. Find each of the following (a) g(9s +5) (b)-2g(10x) -10 c) g(x) (d) g(vx Vx 9) g((x - 1)16) - (h) gx Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 6 attempts remaining
Previous Problem Problem ListNext Problem (1 point) Let g(x) - Vx. Find each of the following (a) g(9s +5) (b)-2g(10x) -10...
15. Let fx (x) = e", x > 0 . Let Y = (X-If . Find f,V).