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A curve has equation y=(2-x)(1+x)+3, A line passes through the point (2,3) and the curve at a point with x coordinate 2+h. Find the gradient of the line. Then use that answer to find the gradient of the curve at (2,3), stating the value of the gradient

The gradient of the line is given by change in Y divided by change in X. To find the Y value of the point we must put 2+h into the y=(2-x)(1+x)+3. Doing this we get y=(2-(2+h))(1+(2+h))+3=(-h)(3+h)+3= -3h...

JC
3167 Views

Why do we get cos(x) when we differentiate sin(x)?

If we have an equation for a line, it follows a certain shape when put it on Cartesian axes. If we wish to find the value of the gradient of the graph at a certain coordinate, we can use differentiation t...

SH
Answered by Sophie H. Maths tutor
6595 Views

Explain price elasticity of demand

Price elasticity of demand shows the responsiveness of the demand of a product to a change in price. This indicates the level of necessity or luxury of that good. For example, a litre of milk would be rel...

RD
Answered by Rohan D. Economics tutor
2792 Views

How could religious freedom be problematic for religious people?

Thinking a bit outside the box, by connecting concepts such as assimilation and immigration with this question gives a new perspective. Ethnic minorities immigrating to the UK, for instance, may be worrie...

PP
2288 Views

How is glucose absorbed by the body?

Glucose is a product of carbohydrate digestion, the absorption of which into the blood stream involves two main stages: 1) Diffusion into the blood: When carbohydrates are first broken down, there's a hig...

TD
82905 Views

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