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Why is dy/dx = (dy/du)(du/dx) an insufficient proof of the Chain Rule? In almost all Calculus textbooks, dy/dx = (dy/du)(du/dx) is given as a good rationale for the Chain Rule, but they always say that a more rigorous proof is needed, since du can't equal 0. But du isn't 0, is it? It approaches 0, and both du's should approach 0 at the same "rate," since they're the same quantity. What's the problem with canceling them, then? Is it just because it doesn't use the definition of the derivative (with the epsilon-delta definition of a limit)?
To finance the $15,000 cost of their kitchen remodeling, the Chews will make equal payments at the end of each month for 36 months. They will pay interest at the rate of 7.2% compounded monthly. Find the amount of each payment.
A ship embarked on a long voyage. At the start of the voyage, there were 500 ants in the cargo hold of the ship. One week into the voyage, there were 800 ants. Suppose the population of ants is an exponential function of time.
What is the probability that the business man's third flight is on time for at least two of his trips during the year?
What can you infer about the elasticity of demand for taxicab rides? What were taxicab drivers assuming about the elasticity of demand?
How many five-letter permutations can be formed from the first five letters of the alphabet?
For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.
a machine that cuts and wraps cheese is supposed to produce packages the contain 10 oz of cheeese. due to variabilty in
dolly has just opened a registered education fund for her daughter lolly. she wants to contribute 3000 at the beginning
A ladder 14 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall.
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What is the impact of the new point on the standard deviation
Assume that the temperature of the body at the time of death was 98.6 fahrenheit and that is has cooled in accourd with Newton's law. What was the time of death ?
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