ConcepTests for Calculus

Questions for MAT 214 Calculus of Several Variables I

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Three Dimensional Coordinate Systems

Low to Mid Difficulty

Question 1

question 1
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Question 2

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Question 3

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Question 4

question 4
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Question 6

question 6
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Mid to High Difficulty

Question 5

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Vectors

Low to Mid Difficulty

Question 7

question 7
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Question 8

question 8
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Question 9

question 9
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Question 10

question 10
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Question 12

question 12
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Mid to High Difficulty

Question 11

question 11
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Question 13

question 13
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The Dot Product

Low to Mid Difficulty

Question 14

question 14
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Question 15

question 15
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Question 16

question 16
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Mid to High Difficulty

Question 17

question 17
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The Cross Product

Low to Mid Difficulty

Question 18

question 18
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Question 20

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Question 21

question 21
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Mid to High Difficulty

Question 19

question 19
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Question 22

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Equations of Lines and Planes

Low to Mid Difficulty

Question 23

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Question 24

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Question 26

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Question 27

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Question 28

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Question 29

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Question 30

question 30
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Question 31

question 31
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Mid to High Difficulty

Question 25

question 25
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Question 32

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Question 33

question 33
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Cylinders and Quadric Surfaces

Low to Mid Difficulty

Question 34

question 34
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Mid to High Difficulty

Question 35

question 35
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Question 36

question 36
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Question 37

question 37
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Question 38

question 38
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Vector Functions and Space Curves

Mid to High Difficulty

Question 39

question 39
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Question 40

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Question 41

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Question 42

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Question 43

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Derivatives and Integrals of Vector Functions

Low to Mid Difficulty

Question 47

question 47
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Mid to High Difficulty

Question 44

question 44
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Question 45

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Question 46

question 46
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Arc length and Curvature

Low to Mid Difficulty

Question 48

question 48
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Question 49

question 49
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Question 54

question 54
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Mid to High Difficulty

Question 50

question 50
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Question 51

question 51
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Question 52

question 52
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Question 53

question 53
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Motion in Space: Velocity and Acceleration

Low to Mid Difficulty

Question 56

question 56
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Question 57

question 57
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Mid to High Difficulty

Question 55

question 55
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Question 58

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Functions of Several Variables

Low to Mid Difficulty

Question 59

question 59
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Question 60

question 60
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Question 61

question 61
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Question 64

question 64
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Mid to High Difficulty

Question 62

question 62
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Question 63

question 63
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Question 65

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Limits and Continuity

Low to Mid Difficulty

Question 66

question 66
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Question 67

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Question 68

question 68
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Question 71

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Question 72

question 72
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Mid to High Difficulty

Question 69

question 69
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Question 70

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Partial Derivatives

Low to Mid Difficulty

Question 73

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Question 74

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Question 76

question 76
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Question 78

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Question 79

question 79
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Question 82

question 82
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Mid to High Difficulty

Question 75

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Question 77

question 77
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Question 80

question 80
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Question 81

question 81
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Question 83

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Tangent Planes and Linear Approximation

Low to Mid Difficulty

Question 85

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Question 86

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Question 87

question 87
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Question 89

question 89
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Mid to High Difficulty

Question 84

question 84
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Question 88

question 88
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The Chain Rule

Low to Mid Difficulty

Question 90

question 90
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Question 91

question 91
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Question 92

question 92
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Mid to High Difficulty

Question 93

question 93
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Directional Derivatives and the Gradient

Low to Mid Difficulty

Question 94

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Question 95

question 95
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Question 99

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Question 101

question 101
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Mid to High Difficulty

Question 96

question 96
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Question 97

question 97
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Question 98

question 98
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Question 100

question 100
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Maximum and Minimum Values

Low to Mid Difficulty

Question 102

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Question 103

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Question 106

question 106
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Question 107

question 107
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Question 108

question 108
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Mid to High Difficulty

Question 104

question 104
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Question 105

question 105
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Lagrange Multipliers

Low to Mid Difficulty

Question 109

question 109
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Question 110

question 110
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Question 112

question 112
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Question 114

question 114
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Mid to High Difficulty

Question 112

question 112
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Question 113

question 113
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Question 115

question 115
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