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

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

MB
Answered by Matthew B. Maths tutor
3208 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...

KG
Answered by Kirsty G. Maths tutor
17813 Views

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

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

TM
Answered by Tia-Marie M. Maths tutor
3213 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...

YM
Answered by Yago M. Maths tutor
2152 Views

A team of four is chosen from six married couples. If a husband and wife cannot both be on the team, in how many ways can the team be formed?

There are 12 choices for the first memebr, then 10 for the next (as it cannot be the spouse), then 8, then 6.Therefore there are 121086 permutations where partners aren't together.However, th...

LC
Answered by Lily C. Maths tutor
2824 Views

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