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Exam 18: Multivariable Calculus

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Exam 1: Review of Algebra470 Questionsadd course
Exam 2: Applications and More Algebra229 Questionsadd course
Exam 3: Functions and Graphs237 Questionsadd course
Exam 4: Lines parabolas and Systems218 Questionsadd course
Exam 5: Exponential and Logarithmic Functions258 Questionsadd course
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Exam 16: Methods and Applications of Integration152 Questionsadd course
Exam 17: Continuous Random Variables88 Questionsadd course
Exam 18: Multivariable Calculus108 Questionsadd course
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If f(x,y)= 2 If f(x,y)= 2 - 3 + 4xy - x + 2y + 4,find: (a) (x,y) (b) (x,y) (c) (x,y) (d) (-1,1) (e) (x,y) If f(x,y)= 2 - 3 + 4xy - x + 2y + 4,find: (a) (x,y) (b) (x,y) (c) (x,y) (d) (-1,1) (e) (x,y) - 3 If f(x,y)= 2 - 3 + 4xy - x + 2y + 4,find: (a) (x,y) (b) (x,y) (c) (x,y) (d) (-1,1) (e) (x,y) If f(x,y)= 2 - 3 + 4xy - x + 2y + 4,find: (a) (x,y) (b) (x,y) (c) (x,y) (d) (-1,1) (e) (x,y) + 4xy - x + 2y + 4,find: (a) If f(x,y)= 2 - 3 + 4xy - x + 2y + 4,find: (a) (x,y) (b) (x,y) (c) (x,y) (d) (-1,1) (e) (x,y) (x,y) (b) If f(x,y)= 2 - 3 + 4xy - x + 2y + 4,find: (a) (x,y) (b) (x,y) (c) (x,y) (d) (-1,1) (e) (x,y) (x,y) (c) If f(x,y)= 2 - 3 + 4xy - x + 2y + 4,find: (a) (x,y) (b) (x,y) (c) (x,y) (d) (-1,1) (e) (x,y) (x,y) (d) If f(x,y)= 2 - 3 + 4xy - x + 2y + 4,find: (a) (x,y) (b) (x,y) (c) (x,y) (d) (-1,1) (e) (x,y) (-1,1) (e) If f(x,y)= 2 - 3 + 4xy - x + 2y + 4,find: (a) (x,y) (b) (x,y) (c) (x,y) (d) (-1,1) (e) (x,y) (x,y)

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Question 101

The joint probability density function is given by The joint probability density function is given by . Find P(x≥1/2,y≥1/2) . Find P(x≥1/2,y≥1/2)

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Question 102

If z = If z = ,find (a) and (b) . ,find (a) If z = ,find (a) and (b) . and (b) If z = ,find (a) and (b) . .

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Question 103

A television manufacturing company makes two types of TV's.The cost of producing x units of type A and y units of type B is given by the function C(x,y)= 120 + A television manufacturing company makes two types of TV's.The cost of producing x units of type A and y units of type B is given by the function C(x,y)= 120 + + 8 - 24xy.How many units of type A and type B televisions should the company produce to minimize its cost? + 8 A television manufacturing company makes two types of TV's.The cost of producing x units of type A and y units of type B is given by the function C(x,y)= 120 + + 8 - 24xy.How many units of type A and type B televisions should the company produce to minimize its cost? - 24xy.How many units of type A and type B televisions should the company produce to minimize its cost?

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Question 104

Use the method of Lagrange multipliers to find the critical points of f(x,y,z)= 4x + 2y - 4z subject to the constraint Use the method of Lagrange multipliers to find the critical points of f(x,y,z)= 4x + 2y - 4z subject to the constraint + + =1. + Use the method of Lagrange multipliers to find the critical points of f(x,y,z)= 4x + 2y - 4z subject to the constraint + + =1. + Use the method of Lagrange multipliers to find the critical points of f(x,y,z)= 4x + 2y - 4z subject to the constraint + + =1. =1.

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Question 105

Evaluate: Evaluate:

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Question 106

The critical point of f(x,y)= The critical point of f(x,y)= - 4 + 3 Subject to the constraint x + 16y - 9z = 36 is - 4 The critical point of f(x,y)= - 4 + 3 Subject to the constraint x + 16y - 9z = 36 is + 3 The critical point of f(x,y)= - 4 + 3 Subject to the constraint x + 16y - 9z = 36 is Subject to the constraint x + 16y - 9z = 36 is

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Question 107

Evaluate: Evaluate:

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Question 108
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