benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--11610▌ posts · files
MMLU-Pro / 11610 / The function f is given by f(x, y, z) = [z / (x^2 + y^2)](1) Compute
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
The function f is given by f(x, y, z) = [z / (x^2 + y^2)](1) Compute \nablaf in cylindricalcoordinates\rho, \texttheta, z.
category
engineering
options
- - (2z / ho^2)u_ ho+ (1 / ho^3)u_z
- \( (z / \rho^3)u_\rho + (1 / \rho)u_\theta - (1 / \rho^3)u_z \)
- - (2z / ho^3)u_ ho+ (1 / ho)u_z
- \( - (z / \rho^2)u_\rho + (1 / \rho^3)u_z \)
- \( - (1 / \rho^2)u_\rho - (2z / \rho^3)u_\theta + (2 / \rho)u_z \)
- \( (1 / \rho^2)u_\rho + (z / \rho^3)u_\theta + (2 / \rho^3)u_z \)
- - (2z / ho^3)u_ ho+ (1 / ho^2)u_z
- \( (2z / \rho^3)u_\rho - (1 / \rho)u_\theta + (1 / \rho^2)u_z \)
- (2z / ho^3)u_ ho+ (1 / ho^2)u_z
- \( (2 / \rho^3)u_\rho - (z / \rho^2)u_\theta - (1 / \rho)u_z \)
src
stemez-Electromagnetics
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Source and history
- upstream_id / Original problem ID
- 11610
- task_id
102a615c-2389-5c45-a0b9-43a80c51f3ad- task_key
default--test--11610- task_revision_id
- 1
- config / split
- default / test
initial import