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The straight line with equation y=3x-7 does not cross or touch the curve with equation y=2px^2-6px+4p, where p is a constant.(a) Show that 4p^2-20p+9<0 (b) Hence find the set of possible values for p.

(a) If we consider the intersection of these two lines then, 3x-7=2px^2-6px+4p.This can be rearranged into the form ax^2+bx+c=0 such that, 2px^2+(-6p-3)x+4p+7, where a=2p, b=-6p-3 and c=4p+7.However, sinc...

WG
Answered by Will G. Maths tutor
8103 Views

How does the body respond to a rise in temperature?

A rise in body temperature will be detected by the thermoregulatory centres in the hypothalamus. When the core body temperature exceeds 37 degrees C the blood vessels will dilate and shunt vessels will co...

HF
Answered by Hannah F. Biology tutor
4728 Views

“All societies, wherever they are, enjoy the benefits of a shrinking world.” Discuss this statement.

Globalisation has certainly benefitted some societies, such as the U.S and China, which has allowed them to assert themselves as global hegemons due to their power in trade. Globalisation has dramatically...

IM
Answered by Isaac M. Geography tutor
2305 Views

How do you differentiate using the chain rule?

The chain rule is used where the equation you are looking to differentiate is a function that is itself raised to a power. For example, we might have y = (x2-2)3 and want to differen...

OB
Answered by Oliver B. Maths tutor
3217 Views

How do you draw an alkene stereoisomer?

Definition of StereoisomerThe meaning of a stereoisomer is compounds with the same structural formula but a different arrangement of atoms in space.
How to Draw...

HM
Answered by Hussain M. Chemistry tutor
1887 Views

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