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Differentiating (x^2)(sinx) Using the Product Rule

Firstly, what is the product rule? What does it actually say? Well, it tells us how to differentiate a function of the form uv - the product of the functions u and v. If y = uv, the product rule says: dy/dx ...
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Answered by Edward M. Maths tutor
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What is an Extremophile?

An extremophile is an organism that can live in extreme conditions such as high temperatures, high pressures and high acidity. An example of an extremophile is Giant tube worms. They live miles beneath the o...
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Answered by Emily O. Biology tutor
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What is constant acceleration?

The definition of acceleration is the rate of which an object's velocity changes. Acceleration = Change in Velocity ÷ Time Therefore, constant acceleration means the object is getting faster or slower at the...
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Answered by Emily O. Physics tutor
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How do plant stomata open and close?

Stomata can be thought of as gates. This is why the size of the guard cells is so important. How the guard cells change in size is a simple matter of how much fluid they can hold - their turgor. Osmosis is t...
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Answered by Sarah M. Biology tutor
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Solve these simultaneous equations. 2x + y = 10 and 3x + 4y = 25.

2x + y = 10 (1) 3x + 4y = 25 (2) 1. Eliminate y. Method 1: (1) x 4: 8x + 4y = 40 (1') (1') - (2): 5x = 15 Method 2: Rearrange (1): y = 10 - 2x (1") Substitute (1") into (2): 3x + 4(10 - 2x) = 25 (3...
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Answered by Daisy D. Maths tutor
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