Homework Answers
Cov( X+Y , X-Y) = Cov(X,X) - Cov(X,Y) + Cov( Y, X) - Cov(Y, Y)
= Var(X) - Var(Y)
Since Cov( X, X) = E(XX) -- E(X) E(X) = E(X2) - [ E(X) ]2 = Var(X)
Similarly Cov( Y, Y) = Var( Y)
,y)-3x2-5xy + y2 find F 3. or the function (x a) f (x, y) b) fy,(xr, y) c) f(x, y) ,y)-3x2-5xy + y2 find F 3. or the function (x a) f (x, y) b) fy,(xr, y) c) f(x, y)
,y)-3x2-5xy + y2 find F 3. or the function (x a) f (x, y) b) fy,(xr, y) c) f(x, y)
,y)-3x2-5xy + y2 find F 3. or the function (x a) f (x, y) b) fy,(xr, y) c) f(x, y)
Exercice 16 (14points) Considérez la fonction à deux variables suivante: f(x, y) = 2020 + 33...
Exercice 16 (14points) Considérez la fonction à deux variables suivante: f(x, y) = 2020 + 33 - 3ry + 3. ya) (2 points) Calculez les dérivées partielles du premier ordre: f(x,y) et (E,y). (W (4 points) Trouvez tous les points critiques de f(x,y); (8 points) Classifier ces points critiques (minimum local, marimum local ou point de selle)
Use Stokes' Theorem to evaluate les F. dr where C is oriented counterclockwise as viewed from...
Use Stokes' Theorem to evaluate les F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y2)i + (y + z2)j + (z + x2)k, C is the triangle with vertices (3, 0, 0), (0, 3,0), and (0, 0, 3). Need Help? Read it Watch It Master It Talk to a Tutor
After watching the video on levers, use the law of levers (F x FA = R x RA) to answer the following two questions (3 p...
After watching the video on levers, use the law of levers (F x FA = R x RA) to answer the following two questions (3 points each for 6 points): If the biceps brachii (forearm flexion) muscle inserts on the radial tuberosity 3.2 cm from the elbow and the length of the forearm is 32.0 cm, how much weight can be lifted if the biceps can exert 280 lbs of force? Hint: FA = 3.2 cm and RA = 32.0...
using discrete structures 3. Consider the function F(x, y, z) for x, y, z z 0 defined as follows: a. F(x, y, 0)-y+1 b. F(x, 0, 1)-x c, F(x, 0, 2) = 0 d. F(x, 0, z+ 3)-1 e. F(x, y, z)-F(x, F(x, y-1, z...
using discrete structures
3. Consider the function F(x, y, z) for x, y, z z 0 defined as follows: a. F(x, y, 0)-y+1 b. F(x, 0, 1)-x c, F(x, 0, 2) = 0 d. F(x, 0, z+ 3)-1 e. F(x, y, z)-F(x, F(x, y-1, z), z-1) Using Induction, prove the following a. F(x, y, 1)-x +y b, F(x, y, 2) = xy c. F(x, y, 3)-xy
3. Consider the function F(x, y, z) for x, y, z z 0 defined...
Problem 5. (1 point) Let H be the subset of vectors [x. y] in R2 such that the polint (x, y) les ...
Problem 5. (1 point) Let H be the subset of vectors [x. y] in R2 such that the polint (x, y) les between the lines y -3x and y x/3. (See the picture.) 1. Is H nonempty? choose 2. Is H closed under addition? If it is, enter CLOSED. If it is not, enter two vectors in H whose sum is not in H, using a comma separated list and syntax such as [1.2]. 13,4] 3 Is H closed under...
7. Find the solution to the following IVP 22 (3 Tteubpd les y'+5y 2t+7 y(0) =2...
7. Find the solution to the following IVP 22 (3 Tteubpd les y'+5y 2t+7 y(0) =2 eSt
7. Find the solution to the following IVP 22 (3 Tteubpd les y'+5y 2t+7 y(0) =2 eSt
3. Given f(x,y)= sin?(2x+3y?).e***; (a) Find f (x,y). (b) Find f (x,y).
3. Given f(x,y)= sin?(2x+3y?).e***; (a) Find f (x,y). (b) Find f (x,y).
Please show all steps & work, thanks! 1. Use the given graph of y = f(x)...
Please show all steps &
work, thanks!
1. Use the given graph of y = f(x) to evaluate the following definite integrals, y = f(x) --4 a. -3 --2 L. f(a) de 5. Lflz) di « ["ra) de 1. (536) di 1 -3 -1 2 3 4 -1 -2 -3
3. Let F(x, y) = (-y, x) and let C be the semicircle with parametrization f(t)...
3. Let F(x, y) = (-y, x) and let C be the semicircle with parametrization f(t) = (4 cos t, 4 sin t) for 0 <ts. Compute ScF.T ds.
,y)-3x2-5xy + y2 find F 3. or the function (x a) f (x, y) b) fy,(xr, y) c) f(x, y)
,y)-3x2-5xy + y2 find F 3. or the function (x a) f (x, y) b) fy,(xr, y) c) f(x, y)
Exercice 16 (14points) Considérez la fonction à deux variables suivante: f(x, y) = 2020 + 33 - 3ry + 3. ya) (2 points) Calculez les dérivées partielles du premier ordre: f(x,y) et (E,y). (W (4 points) Trouvez tous les points critiques de f(x,y); (8 points) Classifier ces points critiques (minimum local, marimum local ou point de selle)
Use Stokes' Theorem to evaluate les F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y2)i + (y + z2)j + (z + x2)k, C is the triangle with vertices (3, 0, 0), (0, 3,0), and (0, 0, 3). Need Help? Read it Watch It Master It Talk to a Tutor
using discrete structures
3. Consider the function F(x, y, z) for x, y, z z 0 defined as follows: a. F(x, y, 0)-y+1 b. F(x, 0, 1)-x c, F(x, 0, 2) = 0 d. F(x, 0, z+ 3)-1 e. F(x, y, z)-F(x, F(x, y-1, z), z-1) Using Induction, prove the following a. F(x, y, 1)-x +y b, F(x, y, 2) = xy c. F(x, y, 3)-xy
3. Consider the function F(x, y, z) for x, y, z z 0 defined...
Problem 5. (1 point) Let H be the subset of vectors [x. y] in R2 such that the polint (x, y) les between the lines y -3x and y x/3. (See the picture.) 1. Is H nonempty? choose 2. Is H closed under addition? If it is, enter CLOSED. If it is not, enter two vectors in H whose sum is not in H, using a comma separated list and syntax such as [1.2]. 13,4] 3 Is H closed under...
7. Find the solution to the following IVP 22 (3 Tteubpd les y'+5y 2t+7 y(0) =2 eSt
7. Find the solution to the following IVP 22 (3 Tteubpd les y'+5y 2t+7 y(0) =2 eSt
3. Given f(x,y)= sin?(2x+3y?).e***; (a) Find f (x,y). (b) Find f (x,y).
Please show all steps &
work, thanks!
1. Use the given graph of y = f(x) to evaluate the following definite integrals, y = f(x) --4 a. -3 --2 L. f(a) de 5. Lflz) di « ["ra) de 1. (536) di 1 -3 -1 2 3 4 -1 -2 -3
3. Let F(x, y) = (-y, x) and let C be the semicircle with parametrization f(t) = (4 cos t, 4 sin t) for 0 <ts. Compute ScF.T ds.
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