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(2)(a) (i) The measurement of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.2 centimeter. Use differentials to approximate the possible propagated error in computing the area of the triangle. (ii)Approximate the percent error in computing the area of the triangle

(2)(a) (i) The measurement of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.2 centimeter. Use differentials to approximate the possible propagated error in computing the area of the triangle. (ii)Approximate the percent error in computing the area of the triangle

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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(a 2 on (2)(a) (i) The measurement of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.2 centimeter. Use differentials to approximate the possible propagated error in computing the area of the triangle. (ii)Approximate the percent error in computing the area of the triangle nons (b) (i) The measurement of the edge of a cube is found to be 15 inches, with a possible error 0.03 inch. Use differentials to approximate the maximum propagated error in computing the volume of the cube (V = x') (ii) Approximate the percent error in computing the volume of the cube. (c) (i) The measurement of the side of a square floor tile is 12 inches, with a possible error of 1/16 inch. Use differentials to approximate the possible propagated error in computing the area of the square. (ii) Approximate the percent error in computing the area of the square
Transcribed Image Text:(a 2 on (2)(a) (i) The measurement of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.2 centimeter. Use differentials to approximate the possible propagated error in computing the area of the triangle. (ii)Approximate the percent error in computing the area of the triangle nons (b) (i) The measurement of the edge of a cube is found to be 15 inches, with a possible error 0.03 inch. Use differentials to approximate the maximum propagated error in computing the volume of the cube (V = x') (ii) Approximate the percent error in computing the volume of the cube. (c) (i) The measurement of the side of a square floor tile is 12 inches, with a possible error of 1/16 inch. Use differentials to approximate the possible propagated error in computing the area of the square. (ii) Approximate the percent error in computing the area of the square
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