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The gradient of the curve at A is equal to the gradient of the curve at B. Given that point A has x coordinate 3, find the x coordinate of point B.

We are told f(x) = (2x-5)^2 (x+3).In part b) we are asked to show that f'(x) = 12x^2 -16x -35, so for part (c) we shall assume this definition for f'(x). We are told that the x coordinate for A is 3. Call...

TF
Answered by Thomas F. Maths tutor
6314 Views

Solve x(5(3^0.5)+4(12^0.5))=(48^0.5) to the simplest form. (4 Marks)

The aim of the question is to equate x= into an expression.Step 1. Look to see if you can simplify the equation. On the left hand side of the equation you can see that 3 is a factor of 12. And also a fact...

RC
Answered by Richard C. Maths tutor
3478 Views

What is the volume of a 3m long cone with radius 2m?

Formula for the volume of a cone = 1/3 * 3.14 * r^2 * h Therefore, volume = 1/3 * 3.14 * (2)^2 * 3 = 12.57m^3 .

BP
Answered by Biplav P. Maths tutor
3516 Views

How do you simplify a surd?

If you have a surd, for example root27, in order to simplify it you need to find factors of it which are square numbers. Multiplying surds is like regular multiplication, for example, root27 = roo...

AH
Answered by Annabel H. Maths tutor
3735 Views

Determine for what values of c, f(x)=4x^2-(2c+8)x+4 has no real roots.

For f(x) not to have any real roots, its discriminant, b2-4ac < 0. Plugging in the coefficients from f(x), this means (-(2c+8))2-4x4x4 < 0.This means (-(2c+8))2 <...

AR
Answered by Alexander R. Maths tutor
1178 Views

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