GRADIENT OF TANGENT.doc

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 GRADIENT OF TANGENT & NORMAL SPM 1995. 1. Find the coordinates at the curve 2 ) 5 2 (  =  x  y  where the gradient of the normal for the curve is 4 1 . SPM 2 4.(a) !he straight line k  x  y  = + 4  is the normal to the curve ( )  " 1 2  2 =  x  y  at  #oint  A. Find (i) the coordinates of #oint A and the value of k (ii) the e$uation of the tangent at  #oint  A 2. !wo varia%les  x and  y are related %& the e$uation  x  x  y 2 "  + = .  'iven that & increases at a constant rate of 4 units #er second find the rate of change of  x when  x  2 *"m+ ,-!S /F 0-'

Transcript of GRADIENT OF TANGENT.doc

GRADIENT OF TANGENT & NORMAL

GRADIENT OF TANGENT & NORMAL

SPM 1995.

1. Find the coordinates at the curve

where the gradient of the

normal for the curve is .

SPM 2000

4.(a) The straight line is the normal to the curve at point A.

Find

(i) the coordinates of point A and the value of k(ii) the equation of the tangent at point A2. Two variables x and y are related by the

equation .

Given that y increases at a constant rate of

4 units per second, find the rate of change

of x when x = 2 [3m]

RATES OF CHANGE_1220615579.unknown

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