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Consider the curve with equation y = 2x^2 - x a. express the gradient of the secant through the points on the curve where x = -1 and x = -1+ h in terms of h b. Use h = 0.01 to obtain an estimate of the gradient of the tangent to the curve at x = -1 c. deduce the gradient of the tangent to the...

B

anyone?

(x-3)^2(x+2) >6 so, (x-3)^2(x+2) =6 so, (x-3)^2(x+2) - 6 = 0 is this correct so far?

f(x) = (x-3)^2 (x+2) find x: f(x) >6 what does the question mean?

How much do lollies cost at woolworths?

y = (x-2)^2 + 1 inverse function x = (y-2)^2 + 1 (y-2)^2 + 1 = x (y-2)^2 = x - 1 y - 2 = √(x-1) y = √(x-1) + 2 is this correct?

anyone?

First question What is the difference between current and non current

If someone had an atar of 90, and a umat of 100, and if someone had an atar of 99.95, but a umat of 70, which one would be given higher preference?

How long does it take to complete 1 unit paper, generally?

How's it going mate!

A model for the density of a koala population is given by D = (9t+20)/(t+1), t greater than or equal to 0 show that D = 9+ 11/t+1 not sure what the question is asking

x = -2, and the other factor doesn't doesn't have an x intercept

use algebra to simplify (x^4 - 16/x+2)/(x^2+4/x-2) so, ((x^2-4)(x^2+4))/(x+2) * (x-2)/(x^2+4) not sure how to finish it

anyone?

no x intercept means that b^2-4ac < 0 so, 0^2 - 4(p)(q)<0 so, -4pq<0 so, pq <0 is this right?

show that y = 4-6x+2x^2+3x^3 has exactly one x intercept factorise it (x+2)(3x^2-4x+2) b^2 - 4ac = 0 16-4(3)(2) = 16-24 = -8 Not sure how to finish it

How would it be done? Kind of confused

show that the graph of f(x) = px^2+ q has no x intercept if pq>0 so ax^2 +c a*c>0, therefore the y intercept will be higher than 0, therefore there is no x intercept Is this above working out correct?