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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 =x 3 - 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 (the value of y when x=o)To find ...
MB
Answered by Matthew B. • Maths tutor
3742 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 than p...
KG
Answered by Kirsty G. • Maths tutor
20763 Views

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

2x 3 + 4x 3/2 - 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
3707 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) is a recogni...
YM
Answered by Yago M. • Maths tutor
3223 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 12 10 8 6 permutations where partners aren't together.However, this counts eve...
LC
Answered by Lily C. • Maths tutor
3226 Views