atar90plus
01000101=YES! YES! YES!
- Joined
- Jan 16, 2012
- Messages
- 628
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- HSC
- 2013
Hello
I am posting these questions again because some members stated they need the questions in order to solve the problem. Could you guys please help me with these questions and please show the full working out and solutions thanks. Please note: could you guys please solve the questions that are in bold. The questions that are not in bold are just reference and answers to previous questions i did.
Q7
a) Find the gradient of tangent T at the point (x,y), on the curve y=x^3 - 6 Answer is 3x^2
b) Find the gradient of the line L with the equation 12x-y-1=0 Answer is 12
c) Deduce the coordinates of the point on y=x^3 - 6 where the tangent is parallel to L Answer is + / - 2
d) Write down the equation of tangents.
Q8. a) Prove that the equation of the tangent at point (x0, y0) on y=x^2 is y=2x0x - x0^2
b) Find where the tangent touches the curve given that the tangent pass through (0,1)
c) Deduce the equations of the tangents to the curve y=x^2 which are drawn from (0,-1)
Q10.
a) Prove that the equation of the tangent to the curve y=4-x^2 at the point (x1, y1) is y=-2x1x + x1^2 +4
b) Find the values of x1 and y1 if this tangent passes through (0,5)
c) Deduce the equations if the tangents to the curve which are drawn from the point (0,5)
I am posting these questions again because some members stated they need the questions in order to solve the problem. Could you guys please help me with these questions and please show the full working out and solutions thanks. Please note: could you guys please solve the questions that are in bold. The questions that are not in bold are just reference and answers to previous questions i did.
Q7
a) Find the gradient of tangent T at the point (x,y), on the curve y=x^3 - 6 Answer is 3x^2
b) Find the gradient of the line L with the equation 12x-y-1=0 Answer is 12
c) Deduce the coordinates of the point on y=x^3 - 6 where the tangent is parallel to L Answer is + / - 2
d) Write down the equation of tangents.
Q8. a) Prove that the equation of the tangent at point (x0, y0) on y=x^2 is y=2x0x - x0^2
b) Find where the tangent touches the curve given that the tangent pass through (0,1)
c) Deduce the equations of the tangents to the curve y=x^2 which are drawn from (0,-1)
Q10.
a) Prove that the equation of the tangent to the curve y=4-x^2 at the point (x1, y1) is y=-2x1x + x1^2 +4
b) Find the values of x1 and y1 if this tangent passes through (0,5)
c) Deduce the equations if the tangents to the curve which are drawn from the point (0,5)