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Maths
A Level

The curve, C has equation y = 2x^2 +5x +k. The minimum value of C is -3/4. Find the value of k.

Notes: At the minimum point of the curve, the gradient is = 0. You can find the gradient of a curve by taking the derivative of a point in the curve. We also know that when the curve is at a minimum, ...

Answered by Baraqat H. Maths tutor
13271 Views

How do I find the minimum point for the equation y = x^2 -5x - 6?

The minimum point for the curve can be found by finding the point at which the gradient is zero, where the curve is instantaneously level, before increasing again. This can be done by differentiating the ...

Answered by Alex U. Maths tutor
5463 Views

Expand (1+0.5x)^4, simplifying the coefficients.

Step 1. Draw Pascal's triangle to find the coefficients. 1; 1 2 1 ; 1 3 3 1 ; 1 4 6 4 1. As you can see, each row starts and finishes with 1. The numbers in between are worked out by add...

Answered by Srikka S. Maths tutor
3736 Views

What are the different steps involved in Proof by Induction?

The first step is to prove that the result is true for n=1.The second step is to assume that the result is true for n=k where k is any positive integer.The third step is to prove that the results is true ...

Answered by Álvaro F. Maths tutor
2917 Views

For the curve, y = e^(3x) - 6e^(2x) + 32 ,find the exact x-coordinate of the minimum point and verify that the y-coordinate of the minimum point is 0.

At the minimum point, the gradient will be zero, so we differentiate the equation, giving us dy/dx = 3e3x - 12e2x. If the gradient is zero at the minimum point, we can set dy/dx = 0,...

Answered by Matthew A. Maths tutor
6589 Views

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