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The sides of a rectangle are x and (x+2), where x>0 the area of the rectangle is 8, what is the value of x?

X*(X+2) = 8X2 + 2X = 8X2 +2x-8=0 S 2P -8N 4, -2(X+4)(X-2)X=-4 X=2X can only be positive in this case so X=2

GG
Answered by George G. Maths tutor
2857 Views

If a ball is dropped from 6m above the ground, how long does it take to hit the floor and what is its speed at impact (assuming air resistance is negligible)?

Distance, s = 6m ; initial speed, u = 0 m/s ; final speed, v = v m/s ; acceleration, a = 9.8 m/s (g) ; time, t = t sTime:s = ut + 0.5at2 , 6 = 0 + (0.5 x 9.8)t2 , 6 = 4.9t2

RR
Answered by Rebecca R. Maths tutor
4475 Views

Given ∫4x^3+4e^2x+k intergrated between the bounds of 3 and 0 equals 2(46+e^6). Find k.

Sorry I couldn't write the question properly in the question box. The question should read:Given ∫304x3+4e2x+k dx = 2(46+e6)Find K.Step 1- Intergrate...

CM
Answered by Charlie M. Maths tutor
6021 Views

Find the x value of the stationary points of the graph y = x^2e^x

The problem here can be solved quite easily by thinking about the graph. A stationary point occurs on a graph when it becomes 'flat'. You can think of this visually as the top of a hill or the bottom of a...

SM
Answered by Serkan M. Maths tutor
8577 Views

The Curve C has equation y = 3x^4 - 8x^3 -3. Find the first and second derivative w.r.t x and verify that y has a stationary point when x = 2. Determine the nature of this stationary point, giving a reason for your answer.

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