MAC 2313 - Study guides, Class notes & Summaries

Local MinD>0 AND Fₓₓ>0 Local MaxD>0 and Fₓₓ<0 Saddle PointD<0 SDT D eqD = FₓₓFᵧᵧ-Fₓᵧ² EVM1. Find val of f at critical point 2. Largest = abs max, Smallest = abs min Type-I Region1. graph between 2 funcs of x 2. g₁(x)<=y<=g₂(x) Type-II Region1. graph between 2 funcs of y

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14 pages

Written in 2023/2024

Grade A+

WIZGrades

How to find the unit vector of a given vector? Vector/abs(Vector) How to find the magnitude of a given vector? sqrt(x^2 + y^2 + z^2) Is the result of a dot product a vector or scalar? scalar What is the numerical definition of a dot product? (a1b1 + a2b2 + a3b3) How to determine if two vectors are parallel? find if they are scalar multiples of each other What vector is considered to be parallel to every vector? zero vector Is the result of a cross product a vector or scalar? vector

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8 pages

Written in 2023/2024

Grade A+

WIZGrades

Mac 2313 Exam Complete Package Deal

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3 items

NinjaNerd

Prepare for the MAC 2313 Final Exam with this comprehensive collection of 600+ expertly verified exam questions and answers covering the complete scope of Calculus III (Multivariable Calculus). This high-yield study guide provides in-depth coverage of vectors and vector operations, vector magnitude and direction, unit vectors, vector algebra, dot product, cross product, scalar and vector projections, work, torque, equations of lines and planes, parametric equations, quadratic surfaces, vector-va...

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42 pages

Written in 2026/2027

Grade A+

NinjaNerd

Prepare for MAC 2313 Exam 2 with this comprehensive collection of 140+ expertly verified exam questions and answers covering the essential principles of multivariable calculus, partial differentiation, optimization, tangent planes, and vector analysis. This high-yield study guide provides in-depth coverage of domains and ranges of multivariable functions, explicit and implicit forms, level curves, continuity of multivariable functions, limits, partial derivatives, tangent plane equations, differ...

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8 pages

Written in 2026/2027

Grade A+

NinjaNerd

Prepare for MAC 2313 Exam 1 with this comprehensive collection of 180+ expertly verified exam questions and answers covering the foundational concepts of Calculus III, vector algebra, three-dimensional analytic geometry, and vector-valued calculus. This high-yield study guide provides extensive coverage of vector operations, vector magnitude and direction, vector addition and subtraction, scalar multiplication, unit vectors, standard basis vectors, vector properties, parallel and equivalent vect...

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11 pages

Written in 2026/2027

Grade A+

NinjaNerd

MAC 2313 Exam #1 questions well answered

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9 pages

Written in 2025/2026

Grade A+

BravelRadon

The magnitude of a vector is the _______________ - correct answer length of the vector/line segment The direction of a vector is the __________ - correct answer direction of the arrow A negative vector is ______________ - correct answer just a vector going in the opposite direction To calculate a vector: ________ point - _________ point - correct answer terminal point - initial point To calculate the magnitude of a vector you use the _____________ formula - correct answer distance

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6 pages

Written in 2024/2025

Grade A+

atiexpert

MAC 2313 Exam 1 (Actual Exam 2025) | Complete Questions and Correct Answers | Graded A+ | Latest Version | Verified Answers | Brand New Version!

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15 pages

Written in 2024/2025

Grade A+

Cluster25j

The magnitude of a vector is the _______________ length of the vector/line segment The direction of a vector is the __________ direction of the arrow A negative vector is ______________ just a vector going in the opposite direction To calculate a vector: ________ point - _________ point terminal point - initial point To calculate the magnitude of a vector you use the _____________ formula distance v+w <x1 + x2, y1 + y2, z1 + z2> v-w <x1 - x2, t1 - y2, z1 - z2>

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27 pages

Written in 2023/2024

Grade A+

WIZGrades

The magnitude of a vector is the _______________ length of the vector/line segment The direction of a vector is the __________ direction of the arrow A negative vector is ______________ just a vector going in the opposite direction To calculate a vector: ________ point - _________ point terminal point - initial point To calculate the magnitude of a vector you use the _____________ formula distance v+w <x1 + x2, y1 + y2, z1 + z2> v-w <x1 - x2, t1 - y2, z1 - z2> cv <cx, cy, c...

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27 pages

Written in 2023/2024

Grade A+

STANFORDGRADESS

How to find the unit vector of a given vector? Vector/abs(Vector) How to find the magnitude of a given vector? sqrt(x^2 + y^2 + z^2) Is the result of a dot product a vector or scalar? scalar What is the numerical definition of a dot product? (a1b1 + a2b2 + a3b3) How to determine if two vectors are parallel? find if they are scalar multiples of each other What vector is considered to be parallel to every vector? zero vector Is the result of a cross product a vector or scalar? vector

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8 pages

Written in 2023/2024

Grade A+

STANFORDGRADESS

Local MinD>0 AND Fₓₓ>0 Local MaxD>0 and Fₓₓ<0 Saddle PointD<0 SDT D eqD = FₓₓFᵧᵧ-Fₓᵧ² EVM1. Find val of f at critical point 2. Largest = abs max, Smallest = abs min Type-I Region1. graph between 2 funcs of x 2. g₁(x)<=y<=g₂(x) Type-II Region1. graph between 2 funcs of y

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14 pages

Written in 2023/2024

Grade A+

STANFORDGRADESS