MATH 2110Q Exam 3A Fall 2026 | University of Connecticut (UConn) | Multivariable Calculus Exam Questions, Correct Answers & Step-by-Step Solutions

Exam 3  Graded


Student
Gia Patel

Total Points
pts

Question 1
Multiple Choice pts

1.1 Circumference pts

 − 0 pts Correct! This integral represents the circumference of a circle of radius 3, which is 2πr = 6π

1.2 Conservative Vector Fields pts

 − 0 pts Correct! The first and fourth choices are conservative.


1.3 Cones pts

 − 2 pts (Chose z = r). Since it asks for spherical coordinates instead of cylindrical, it is ϕ = π/4.

1.4 FToLI pts

 − 0 pts Correct! f (0, 0) − f (2, 1) = 0 − 4 = −4


Question 2
Concepts pts

2.1 Vector Field pts

 − 0 pts Correct! This is the vector field ⟨y, 1⟩


2.2 Sign of Integral pts

 − 0 pts Correct! The line integral will be positive.


2.3 Line Integral as Area pts

 − 2 pts Incorrect. This is the scalar function line integral ∫C ​
f (x, y) ds.

, Question 3
Triple Integral pts

 − 1 pt Wrong θ bounds. Should be −π/2 to π/2 or e.g. 3π/2 to 5π/2.


 − 1 pt Wrong upper bound for ϕ. Should be π/4.


 − 1 pt Wrong lower bound for ϕ. Should be 0.


 − 1 pt Wrong ρ bounds. Should be 0 to 2.
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Question 4
Scalar Line Integral pts

 − 1 pt Error in bounds of integration. Should be 0 to π or something consistent with mistake above.


 − 1 pt Error in final answer. Should be 512/3 or something consistent with mistake above.