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What is the gradient of the curve 3x^3 + 7x at the point x=3?

The gradient or the slope of a curve is defined as the change in the y direction over the change in the x direction (dy/dx). In order to calculate a formula for the gradient of a curve we must differentia...

JK
Answered by Junaid K. Maths tutor
2888 Views

Find the values of k for which the equation (2k-3)x^2- kx+(k-1)=0 has equal roots.

For a quadratic to have equal roots, the value of the discriminant (b2-4ac) =0. This means that the quadratic formula yields only one result (or two equal roots), since x=(-b ±0)/2a , thus if a...

HK
Answered by Henry K. Maths tutor
10379 Views

Explain what occurs at a conservative plate boundary and provide an example.

A Conservative plate boundary is where two crustal plates slide past each other, and the movement of the plates is parallel to the plate margin. The plates move with relative horizontal movement which is ...

RP
Answered by Rachel P. Geography tutor
23121 Views

How do I rationalise the denominator? (Surds)

If you have a fraction where the denominator is a surd, such as 5/(1+sqrt(2)), you need to multiply the denominator by another number so that it becomes a a whole number. If you multiply either the denomi...

LC
Answered by Leanne C. Maths tutor
2833 Views

Use the structure of sodium chloride to explain why it has a high melting point. (2 marks)

There are strong electrostatic forces of attraction between oppositely charged ions within sodium chlorides giant lattice. The strong electrostatic forces must be broken in order ...

EC
Answered by Evie C. Chemistry tutor
7581 Views

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