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Find the x coordinate of the minimum point of the curve y = e3x - 6e2x + 32.

To find the minimum point of this curve you need to differentiate y and set it equal to zero before solving for x. If the questions does not say otherwise give your answer to 3 s.f. dy/dx = 3e^3x -12e^2x = 0...
HW
Answered by Hermione W. • Maths tutor
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Solve: 3x + 4 = x + 12

In this algebraic problem, we are faced with two unknowns (x's) on both sides of the equation. Remember that what we do to one side, we must also do to the other side. So to tackle this, we will first focus ...
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Answered by Tristan F. • Maths tutor
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A ball is thrown up with an initial velocity of 8 m/s and initial height of 1.5m above the ground. Calculate the maximum height the ball reaches and the time it takes to get there.

Travelling upwards u = 8m/s v = 0 m/s a = -9.8m/s S = ? t = ? v = u + at v 2 = u 2 + 2a(S - 1.5) 0 = 8 -9.8t 0 = 64 + 2*(-9.8)*(S - 1.5) 9.8t = 8 19.6*(S - 1.5) = 64 t = 0.816s (3.sf) S - 1.5 = 3.265m S = 4....
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Answered by Evan S. • Physics tutor
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Describe the cardiac cycle, including all the relevant electrical and valvular events.

Starting in the right atrium, the sinoatrial node (SAN) will send a signal to contract both atria, opening the atrioventricular valves (tricuspidand bicuspid/mitral) and forcing blood in to both ventricles. ...
KA
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Differentiate the function f(x) = x^2 * e^2x with respect to x

l e t u = x^2 let v = e^2x du/dx = 2x dv/dx = 2e^2x d/dx = v du/dx + u dv/dx = 2x e^2x + 2x^2 e^2x Therefore d/dx = 2x*e^2x * (1 + x)
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Answered by Evan S. • Maths tutor
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