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1. ### Using Differentials to determine maximum possible error

Homework Statement Four positive numbers, each less than 30, are rounded to the first decimal place and then multiplied together. Use differentials to estimate the maximum possible error in the computed product that might result from the rounding. So our function of four variables would be ...
2. ### Best AP review guides

I need some recommendations for the *best* ap guide. I know princeton review is very popular, but some say is very simplistic and only covers basic materials. I also heard Barron's is pretty good at covering the material in depth. I really don't know much about McGraw Hill's 5 steps to a 5. I ap...
3. ### Swimming Pools and Related Rates along with Implicit Differentiation

I understand that, but what is such something else for L, length?
4. ### Air Traffic Controller and Related Rates along with Implicit Differentiation

Thanks, this really helped out. But just to be sure, it would be dz/dt= 2(120-400t)(-400)+ 2(160-450t)(-450)= 0, not using -420.
5. ### Swimming Pools and Related Rates along with Implicit Differentiation

Homework Statement A swimming pool is 40 feet long, 20 feet wide, 4 feet deep at the shallow end, and 9 feet deep at the deep end. Water is being pumped into the pool at 10 cubic feet per minute. a. When the water is 3 feet deep at the shallow end, at what rate is the water level rising? b...
6. ### Air Traffic Controller and Related Rates along with Implicit Differentiation

Homework Statement "An air traffic controller spots two planes at the same altitude converging on a point as they fly at right angles to each other. One plane is 120 miles from the point and is moving at 400 miles per hour. The other plane is 160 miles from the point and has a speed of...
7. ### Tension Force for a Pendulum

I think it is the product of the tension force, T, and the displacement of the direction it is going, d. T*d, but I am not certain for when it goes in reverse (or forwards). So would it be zero?
8. ### Tension Force for a Pendulum

"A pendulum bob swings back and forth on a circular path. How much work does the tension force do on the bob?" That is a question I have. What is the answer symbolically?