Each side of a square is increasing at a rate of 4 cm/s. At what rate is the area of the square increasing when the area of the square is 49 cm²? x cm²/s 28 Enhanced Feedback Please try again, keeping in mind that the area of square of side a is a xa (A = a2). Differentiate this equation with respect to time t using the Chain Rule to find the equation for the rate at which the area is increasing, d. Then use the values from the exercise to evaluate the rate of change of the area of the square, paying close attention to the signs of the rates of change of the side (positive when increasing and dt negative when decreasing).
Each side of a square is increasing at a rate of 4 cm/s. At what rate is the area of the square increasing when the area of the square is 49 cm²? x cm²/s 28 Enhanced Feedback Please try again, keeping in mind that the area of square of side a is a xa (A = a2). Differentiate this equation with respect to time t using the Chain Rule to find the equation for the rate at which the area is increasing, d. Then use the values from the exercise to evaluate the rate of change of the area of the square, paying close attention to the signs of the rates of change of the side (positive when increasing and dt negative when decreasing).
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:Each side of a square is increasing at a rate of 4 cm/s. At what rate is the area of the square increasing when the area of the square is 49 cm²?
28
x cm²/s
Enhanced Feedback
Please try again, keeping in mind that the area of square of side a is a xa (A = a²). Differentiate this equation with respect to time t using the Chain Rule to find the equation for the rate at which the area is
increasing,
dA
Then use the values from the exercise to evaluate the rate of change of the area of the square, paying close attention to the signs of the rates of change of the side (positive when increasing and
dt
negative when decreasing).
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