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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, y =-3/4...
BH
Answered by Baraqat H. • Maths tutor
15300 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 equ...
AU
Answered by Alex U. • Maths tutor
6763 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 adding the two numbers o...
SS
Answered by Srikka S. • Maths tutor
4833 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 for...
ÁF
Answered by Álvaro F. • Maths tutor
3730 Views

Find the unknown side A ( trigonometry with one known side and an angle)

First we need to make sure we have a nicely labelled triangle, identifying which sides are the adjacent, opposite and hypotenuse. 2) Once these are labelled we will can work out which trig function to use wi...
TL
Answered by Tobias L. • Maths tutor
3634 Views