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Solve the inequality 5x^2 + x - 3 = 1

Set the equation equal to 0, which would be 5x^2 +x - 4 = 02) Split the equation into 2 brackets. To do this, one bracket will be (5x+ or - something) and the other will be (x + or - something), as ...

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Find the equation of the the tangent to the curve y=x^3 - 7x + 3 at the point (1,2)

y_C=x³ - 7x + 3 ------> equation of curve.y_T=mx+c ----------------> equation of tangent, where m is the gradient of the graph and c is the value of the y-intercept (t...

Answered by Matthew B. • Maths tutor

3398 Views

How would you solve the inequality x^2-2x-8 >= 0?

We are looking for all the x values for which this equation holds. We know how to solve quadratic equations without the inequalities, and that is the first step here! So let's forget about the greater tha...

Answered by Kirsty G. • Maths tutor

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Intergrate 8x^3 + 6x^(1/2) -5 with respect to x

2x³ + 4x^3/2- 5x + cGeneral rule for integration is increase the power by 1 then divide by the new powerAlways remember +C !!!!!!!

Answered by Tia-Marie M. • Maths tutor

3383 Views

f(x)=sin(2x) for 0<x<pi, find the values of x for which f is a decreasing function

A decreasing function means that its instantaneous slope (rate of change) is negative and the function tends to smaller values of y.There are two approaches to this. One is graphical, as sin(x) i...

Answered by Yago M. • Maths tutor

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