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Expand and simplify (x+2)(x+3)

Use the FOIL method to remember which components you need to multiply together. F = F irst two, O = O utside two, I = I nside two, L = L ast two. Then add your answers together and collect like terms to simp...
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Answered by Natasha S. • Maths tutor
58072 Views

Find the gradient of the curve y = x^2(ln(x)) at x = e

We'll need to use the product rule. Let's take u = x^2 -> du/dx = 2x, and v = ln(x) -> dv/dx = 1/x Then dy/dx = x^2(1/x) + 2xln(x) = x + 2xln(x) Substituting our x value gives (dy/dx)|(x = e) = e + 2el...
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Answered by Charlie R. • Maths tutor
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5w -3 = 3w + 15

5w -3 = 3w + 15 Need to get the numbers on one side, and letters on the other side. 5w = 3w + 15 + 3 5w - 3w = 15 + 3 2w = 18 w = 18/2 w = 9
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Answered by Hannah N. • Maths tutor
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AQA PC4 2015 Q5 // A) Find the gradient at P. B) Find the equation of the normal to the curve at P C)The normal P intersects at the curve again at the point Q(cos2q, sin q) Hence find the x-coordinate of Q.

A) We need to find dy/dx. We know that dy/dx =(dy/dt)/(dx/dt). Differentiating each parametric equation we get: dx/dt= -2sin(2t) {using the chain rule and knowing that cos differentiates to -sin.} dy/dt= cos...
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Answered by Tutor68191 D. • Maths tutor
7959 Views

Ian's commute to work is 5km. He needs to be there by 9.00am. He travels at 10 km/h, what time does he need to leave home?

Answer is 8.30am Using the speed = distance/time reference the student would do distance/speed or 5/10 = 0.5 hours
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Answered by Isabelle F. • Maths tutor
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