How do you find two nonnegative numbers whose sum is 9 and so that the product of one number and the square of the other number is a maximum?
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To find the two nonnegative numbers whose sum is 9 and maximize the product of one number and the square of the other, we use optimization techniques. Let's denote the two numbers as x and y, where x + y = 9. We need to maximize the function P(x, y) = x * y^2 subject to the constraint x + y = 9. We can solve this problem using the method of Lagrange multipliers or by expressing y in terms of x from the constraint equation and substituting it into the objective function to obtain a single-variable function. By finding the critical points and determining the maximum value, we can find the optimal values for x and y.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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