The area of a triangle is given by the formula A = ab sin $\theta$, where $\theta$ is the angle between the sides having lengths a and b. If measurements indicate that a = 4 m with error ± 1 cm,b = 3 m with error ± 1 cm, and $\theta$ = 60° with error ± 2°, use differentials to determine the approximate maximum error in the calculated area of the triangle. A) about 0.135 m² B) about 6.015 m² C) about 0.603 m² D) about 0.014 m² E) about 0.862 m²

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The Answer of The area of a triangle is given by the formula A = ab sin $\theta$, where $\theta$ is the angle between the sides having lengths a and b. If measurements indicate that a = 4 m with error ± 1 cm,b = 3 m with error ± 1 cm, and $\theta$ = 60° with error ± 2°, use differentials to determine the approximate maximum error in the calculated area of the triangle. A) about 0.135 m² B) about 6.015 m² C) about 0.603 m² D) about 0.014 m² E) about 0.862 m²

The Area of a Triangle Is Given by the Formula θ\thetaθ

The Area of a Triangle Is Given by the Formula $\theta$