![b) If we wanted to find P(X-0.420.4) state the region(s) this expression is directly refering to r > c) Find the first moment of X, E[ X. Insert the missing limits of integration as well as the integrand The only variable either integrand should contain is: r the first moment of X, E X]. Insert the missing limits of integration as well as the integrands 0 dz dar 0](http://img.homeworklib.com/questions/c4cb6360-7425-11ea-982e-53616e1a58dc.png?x-oss-process=image/resize,w_560)
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Problem 6 (1 point) Let f(z)-(2z-0.274x2 The pdf is plotted for your convenience 2 0.2740 be...
(1 point) Set up a double integral for calculating the flux of F -4xi + yj + zk through the part of the surface z =-2x-4y + 4 above the triangle in the xy-plane with vertices (0,0), (0,4), and (2...
(1 point) Set up a double integral for calculating the flux of F -4xi + yj + zk through the part of the surface z =-2x-4y + 4 above the triangle in the xy-plane with vertices (0,0), (0,4), and (2,0), oriented upward. Instructions: Please enter the integrand in the first answer box. Depending on the order of integration you choose, enter dx and dy in either order into the second and third answer boxes with only one dx or dy...
9. Let a random variable X follow the distribution with pdf f(z)=(0 otherwise (a) Find the...
9. Let a random variable X follow the distribution with pdf f(z)=(0 otherwise (a) Find the moment generating function for X (b) Use the moment generating function to find E(X) and Var(X)
2. Problem 2 Let g(z) be a differentiable function defined on is shown below. Also suppose that g...
2. Problem 2 Let g(z) be a differentiable function defined on is shown below. Also suppose that g(2)-3 realnumbers. The graph of its derivative, g'(z), g'(a) Also define the differentiable, odd function hz) on all real numbers. Some values of h(z) are given below 0 12 3 4 5 h(z 02-42 2 (a) Calculate each of the following quantities or, if there isn't enough information, explain why i. (g'(x) +2) dr i.h() da ii. (h'(z) +2z) dr iv. 8h(x) dr...
2. Let 6 marks (a) Find f(x),f"(x), and f"(x). (b) Find the second order Taylor expansion of f at 1, namely f(r) = ao + ala-1 ) + a2(z-1)2 + R2(x), where Ra is the remainder. You s...
2. Let 6 marks (a) Find f(x),f"(x), and f"(x). (b) Find the second order Taylor expansion of f at 1, namely f(r) = ao + ala-1 ) + a2(z-1)2 + R2(x), where Ra is the remainder. You should find ao, a, a2, and R(p). 8 marks that the error in this estimation (i.e., R2(0.9)1) is at most 10-3. 6 marks (c) Use the Taylor expansion found above to estimate the value of f(0.9). Show Find f(x), f"(), and f" (b)...
e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) i...
e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) is A. z + y = e2 B. I+y e C. z+y 3. D. None of the above (7) 2 points The gradient of f(z,y, z) = ep at the point (-1,-1,2) is A. (2e2,e2,2e2). B. (-e,-e,2e2). C. (-2e2,-2e2, e) D. (-2e2,-e,-e) (8) 2 points Let f be a function defined and continuous, with continuous first...
Assignment 7: Problem 9 Previous Next Problem List (1 point) Sketch the region of integration and evaluate by chan...
Assignment 7: Problem 9 Previous Next Problem List (1 point) Sketch the region of integration and evaluate by changing to polar coordinates: 12 rf) 1 y dx V +y J6 For f(x) = V12x- Answer: 6sgrt3-2p Submit Answers Preview My Answers You have attempted this problem 3 times. Your overall recorded score is 0%6. You have 2 attempts remaining. Email Instructor Assignment 6: Problem 9 Problem List Next Previous (1 point) Set up a double integral in rectangular coordinates for...
(1 point) In general for a non-homogeneous problem " ()y r)y-f(x) assume that yi, ye is...
(1 point) In general for a non-homogeneous problem " ()y r)y-f(x) assume that yi, ye is a fundamental set of solutions for the homogeneous problem y"+p(r)y' +(xy-0. Then the formula for the particular solution using the method of variation of parameters is are where W(z) is the Wronskian given by the determinant where ufe) and u ,-1-nent), d dz. NOTE When evaluating these indefinite integrals we take the arbitrary constant of integration to be zero. So we have- Wed and...
Log(2+5) 1. Consider function f(z) sin 2 (a) Determine all singular point (s) of f enclosed...
Log(2+5) 1. Consider function f(z) sin 2 (a) Determine all singular point (s) of f enclosed in the circle C4(0) (b) Are they isolated singularities? If so, which kind of isolated singularity are they (remov- able, pole, essential)? (c) Compute the residue of f at each of these singularities (d) Evaluate the integral f f(2)dz where y is the circle Ca(0) oriented counterclockwise 1.0 0.5 -0.5 Answer key 1. (а) z0,-T, T (b) Yes. Each is a pole of order...
Problems binomial random variable has the moment generating function ψ(t)-E( ur,+1-P)". Show, that EIX) np and...
Problems binomial random variable has the moment generating function ψ(t)-E( ur,+1-P)". Show, that EIX) np and Var(X)-np(1-P) using that EXI-v(0) and Elr_ 2. Lex X be uniformly distributed over (a b). Show that EX]- and Varm-ftT using the first and second moments of this random variable where the pdf of X is () Note that the nth i of a continuous random variable is defined as E (X%二z"f(z)dz. (z-p?expl- ]dr. ơ, Hint./ udv-w-frdu and r.e-//agu-VE. 3. Show that 4 The...
(1 point) Set up a double integral for calculating the flux of F -4xi + yj + zk through the part of the surface z =-2x-4y + 4 above the triangle in the xy-plane with vertices (0,0), (0,4), and (2,0), oriented upward. Instructions: Please enter the integrand in the first answer box. Depending on the order of integration you choose, enter dx and dy in either order into the second and third answer boxes with only one dx or dy...
9. Let a random variable X follow the distribution with pdf f(z)=(0 otherwise (a) Find the moment generating function for X (b) Use the moment generating function to find E(X) and Var(X)
2. Problem 2 Let g(z) be a differentiable function defined on is shown below. Also suppose that g(2)-3 realnumbers. The graph of its derivative, g'(z), g'(a) Also define the differentiable, odd function hz) on all real numbers. Some values of h(z) are given below 0 12 3 4 5 h(z 02-42 2 (a) Calculate each of the following quantities or, if there isn't enough information, explain why i. (g'(x) +2) dr i.h() da ii. (h'(z) +2z) dr iv. 8h(x) dr...
2. Let 6 marks (a) Find f(x),f"(x), and f"(x). (b) Find the second order Taylor expansion of f at 1, namely f(r) = ao + ala-1 ) + a2(z-1)2 + R2(x), where Ra is the remainder. You should find ao, a, a2, and R(p). 8 marks that the error in this estimation (i.e., R2(0.9)1) is at most 10-3. 6 marks (c) Use the Taylor expansion found above to estimate the value of f(0.9). Show Find f(x), f"(), and f" (b)...
e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) is A. z + y = e2 B. I+y e C. z+y 3. D. None of the above (7) 2 points The gradient of f(z,y, z) = ep at the point (-1,-1,2) is A. (2e2,e2,2e2). B. (-e,-e,2e2). C. (-2e2,-2e2, e) D. (-2e2,-e,-e) (8) 2 points Let f be a function defined and continuous, with continuous first...
Assignment 7: Problem 9 Previous Next Problem List (1 point) Sketch the region of integration and evaluate by changing to polar coordinates: 12 rf) 1 y dx V +y J6 For f(x) = V12x- Answer: 6sgrt3-2p Submit Answers Preview My Answers You have attempted this problem 3 times. Your overall recorded score is 0%6. You have 2 attempts remaining. Email Instructor Assignment 6: Problem 9 Problem List Next Previous (1 point) Set up a double integral in rectangular coordinates for...
(1 point) In general for a non-homogeneous problem " ()y r)y-f(x) assume that yi, ye is a fundamental set of solutions for the homogeneous problem y"+p(r)y' +(xy-0. Then the formula for the particular solution using the method of variation of parameters is are where W(z) is the Wronskian given by the determinant where ufe) and u ,-1-nent), d dz. NOTE When evaluating these indefinite integrals we take the arbitrary constant of integration to be zero. So we have- Wed and...
Log(2+5) 1. Consider function f(z) sin 2 (a) Determine all singular point (s) of f enclosed in the circle C4(0) (b) Are they isolated singularities? If so, which kind of isolated singularity are they (remov- able, pole, essential)? (c) Compute the residue of f at each of these singularities (d) Evaluate the integral f f(2)dz where y is the circle Ca(0) oriented counterclockwise 1.0 0.5 -0.5 Answer key 1. (а) z0,-T, T (b) Yes. Each is a pole of order...
Problems binomial random variable has the moment generating function ψ(t)-E( ur,+1-P)". Show, that EIX) np and Var(X)-np(1-P) using that EXI-v(0) and Elr_ 2. Lex X be uniformly distributed over (a b). Show that EX]- and Varm-ftT using the first and second moments of this random variable where the pdf of X is () Note that the nth i of a continuous random variable is defined as E (X%二z"f(z)dz. (z-p?expl- ]dr. ơ, Hint./ udv-w-frdu and r.e-//agu-VE. 3. Show that 4 The...
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