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How do you find a turning point of a function using differentiation?

To find the location of turning points on a function, find the first derivative of the function, and then set the result to 0. if you then solve this equation, you will find the locations of the turning poin...
NS
Answered by Nathan S. Maths tutor
60047 Views

A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.

Knowledge of equation Area = 1/2absinC where a = PQ b = QR and C = angle PQR, a diagram may aid with visualisation. (B1) Substituting in values and expanding. 1/2(3x+4)(2-x)sin(30) = 2 becoming 1/4(-3x^2+2x+...
TF
Answered by Thomas F. Maths tutor
3322 Views

How do you factorise a quadratic equation

Factorising a quadratic can seem daunting at first but when broken down if to multiple steps it can be much more manageable. These steps will work for all basic quadratics so if you stick to the formula you ...
JP
Answered by Jake P. Maths tutor
3345 Views

How is our blood sugar regulated?

This is an important area of metabolic biology to understand. In non-diabetics, your blood sugar levels should be between 3.9 and 7.1 mmol/L (the unit shows that this is a concentration as it is how many mmo...
TD
Answered by Tutor133848 D. Maths tutor
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A particle A of mass 0.1kg is moving at a speed of 1.5m/s to the right. It collides with a particle B of mass 0.3kg moving at a speed of 1.1m/s to the right. Calculate change in momentum of particle A if particle B has a speed of 1.4m/s after collision.

Momentum is conserved during the collision.Momentum = mass x velocityMomentum before = momentum after(mv) P1 + (mv) Q1 = (mv) P2 + (mv) Q2 (0.1 x 1.5) + (0.3 x 1.1) = 0.1v P2 + (0.3 x 1.4)v P2 = 0.6m/sChange...
JS
Answered by Juliet S. Maths tutor
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