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Multiply: First have to make the fraction whole. To do this we multiply the first number by the denominator. Then we add it to the numerator to get a top heavy fraction. Now we can simply multiply the two...
Always a good first step to a problem like this, is to draw a diagram, making sure to label any lengths. The unknown in this question, is the rate at which the surface of water, in the cone, is rising. Ho...
y=x^2+4x+12dy/dx=2x+4
We expand the parentheses to get to the equation: 713-13isqrt(6)+7isqrt(6)-iisqrt(36) which after some further calculations equals to: 91-6isqrt(6)+sqrt(36) [We got...
This fact can be deduced several ways, and I would encourage tutees to find other methods, (such as using implicit differentiation, or the chain rule.) However one of the simplest explanations is given be...
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