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How do I know if a curve is convex?

The second differential of the equation of the curve will be positive if it is convex. This is because, by definition, convex means that the gradient of a curve is increasing. To find the gradient of a curve...
JW
Answered by Josh W. • Maths tutor
5454 Views

Solve 3x^2 - 5 = 43

First, we want all the terms with X on one side, so let's +5 to both sides.3x 2 = 48Let's simplify, so we get x 2 on its own.48÷ 3=16x 2 = 16Now, we need x 'unsquared', so we will square root it. √16=4
NM
Answered by Naomi M. • Maths tutor
4973 Views

Solve 2x^2 = 162

First simplify the equation! This means making the side with your Xs on easier to read.162÷2=81Now we have x 2 = 81 √81=9(Remember 9x9=81.)
NM
Answered by Naomi M. • Maths tutor
6139 Views

Solve algebraically the simultaneous equations x^2 + y^2 = 25, y – 3x = 13

Rearrange y - 3x = 13 to y = 13 + 3xSquare y to give y^2 = 169 +78x +9x^2Sub into first equation to give x^2 + 169 + 78x +9x^2 = 25Simplify to give 10x^2 + 78x + 144 = 0 Apply quadratic formula to solve for ...
BH
Answered by Blake H. • Maths tutor
3997 Views

Which of these fractions is the largest - 33/56 ,4/7, 9/21, 6/14

As it is not clear which is biggest, we need to make sure that the fractions are in their simplest form. For 33/56 there no common factors so this is the simplest form. 4/7 is clearly in the simplest form. 9...
TS
Answered by Toby S. • Maths tutor
3591 Views