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Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t

x=4e -2t , y=4-2e 2t dy/dx = dy/dt * dt/dx dy/dt = -4e 2t dx/dt = -8e -2t dt/dx = -1/8 * e 2t dy/dx = (-4e 2t )(-1/8 * e 2t ) = 1/2 * e 4t dy/dx = 0.5e 4t
JM
Answered by Josh M. • Maths tutor
6009 Views

Mike, Sam and James play football. Mike scores 8 more goals than James. Sam scores 5 more goals than Mike. Altogether they score 72 goals. How many did Sam score?

Let James = x Mike = x+8 Sam = Mike+5 = (x+8)+5 = x+13 Altogether: James + Mike + Sam = 72 Therefore, x + (x+8) + (x+13) = 72 Now solve for x: 3x + 21 = 72 Bring 21 to the other side: 3x = 72-21 = 51 Divide ...
JR
Answered by Joshua R. • Maths tutor
4297 Views

Why did the Interregnum last only from 1649 till 1660?

Possible reasons for the short tenure could include: - Parliament planned to disband the New Model Army which angered them, and forced them to take action - Cromwell’s unprecedented introduction of the Major...
RM
Answered by Rahman M. • History tutor
4298 Views

How do I use critical quotes effectively in my exam?

At A Level you are expected to use different interpretations of your text in order to inform your discussion in the exam. These are supposed to HELP you to write a good essay and should not be a massive worr...
MM
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Write a Visual Analysis Essay of Uccello’s The Hunt (currently in the Ashmolean Museum, Oxford)

Example answer: Uccello’s painting The Hunt in the Forest has a highly regular composition. The painting is constructed almost symmetrically using linear perspective. The hunters, their horses, dogs and spea...
LK
5384 Views