Suppose that the number of thousands of insects killed by two brands of pesticide is given by , where x is the number of liters of Brand X and y is the number of liters of Brand Y. What is the rate of change of insect deaths with respect to the number of liters of Brand X if 100 liters of each brand are currently being used? Round your answer to two decimal places.

Question

Suppose that the number of thousands of insects killed by two brands of pesticide is given by  , where x is the number of liters of Brand X and y is the number of liters of Brand Y. What is the rate of change of insect deaths with respect to the number of liters of Brand X if 100 liters of each brand are currently being used? Round your answer to two decimal places.

Quizplus · Accepted Answer

Taking the partial derivative of the given function with respect to x, we get:

∂/∂x(11eb0d3b_98b4_cf8a_9790_3de32ff19546_TB1243_11) = 220xy

Plugging in x = 100 and y = 100, we get:

220(100)(100) = 2200000

Rounding to two decimal places, we get 22,000. Thus, the rate of change of insect deaths with respect to the number of liters of Brand X is 22,000 when 100 liters of each brand are currently being used.

Suppose That the Number of Thousands of Insects Killed by Two