Problem: The concentration of a certain nutrient in a plant's leaves in Malaysia is described by the function C(x) = 6x^3 - 15x^2 + 10x, where x represents distance from the root in centimeters. Determine the distance from the root at which the nutrient concentration is highest.
Value: C(x) represents the concentration of the nutrient in milligrams per cubic centimeter.
Solution: To find the distance from the root at which the nutrient concentration is highest, we need to find the critical points of the function C(x) by taking its derivative and setting it equal to zero. Solve for x to identify the point of highest nutrient concentration.

Question

09-06-2024
Mathematics

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Problem: The concentration of a certain nutrient in a plant's leaves in Malaysia is described by the function C(x) = 6x^3 - 15x^2 + 10x, where x represents distance from the root in centimeters. Determine the distance from the root at which the nutrient concentration is highest.
Value: C(x) represents the concentration of the nutrient in milligrams per cubic centimeter.
Solution: To find the distance from the root at which the nutrient concentration is highest, we need to find the critical points of the function C(x) by taking its derivative and setting it equal to zero. Solve for x to identify the point of highest nutrient concentration.

Sagot :

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