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11 Apr 2018

4. A point P on the curve y = x2 + 2x - 4 is such that the tangent line at P is parallel to the line y = 4x + 11. Find the y-coordinate of the point P. ® 3

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Elin Hessel
Elin HesselLv2
12 Apr 2018
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Related questions

A tangent line is drawn to the hyperbola xy − c at a point P.

(a) Show that the midpoint of the line segment cut from this tangent line by the coordinate axes is P.

(b) Show that the triangle formed by the tangent line and the coordinate axes always has the same area, no matter

Where P is located on the hyperbola.

Find a Cartesian equation relating xx and yy corresponding to the parametric equations

x=2sin(3t)y=9cos(3t)x=2sin⁡(3t)y=9cos⁡(3t)

Write your answer in the form

P(x,y)=0P(x,y)=0

where P(x,y)P(x,y) is a polynomial in xx and yy such that the coefficient of y2y2 is 4. 
Answer:  =0=0

 

Find the equation of the tangent line to the curve at the point corresponding to t=π/9

2. (12 points) I 2? + 3.0 -1 if > 2 (a) Let f(x) = { Find all values of k such that f is k2.– 1-1 if I<2 continuous at r = 2. (b) Find the point(s) on the curve y² +ry-r? = 9 where the tangent line is parallel to the line 2.0 + 4y +3=0.

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