general conics questions i cant do (1 Viewer)

[sincred91]

Help with Conics<!-- google_ad_section_end -->
<HR style="COLOR: #d1d1e1; BACKGROUND-COLOR: #d1d1e1" SIZE=1><!-- google_ad_section_start -->i Dont know how to apprach these questions,
need to find the normals and tangents of the following parabolas at certain points.

please show working

y^2=2(x-3) at point (5,2)

x-cos2theta, y=costheta at point where theta=pi/4

y=(x-2)^2 at point (3,1)

x=cos2t, y=sint at point where t=0

x=t+3, y=t^2-5 at point where t=1

(y-2)^2=4(x-1) at the vertex.

thanks.<!-- google_ad_section_end --></SPAN>

 

[vds700]

Help with Conics<!-- google_ad_section_end -->
<hr style="color: rgb(209, 209, 225); background-color: rgb(209, 209, 225);" size="1"><!-- google_ad_section_start -->i Dont know how to apprach these questions,
need to find the normals and tangents of the following parabolas at certain points.

please show working

y^2=2(x-3) at point (5,2)

x-cos2theta, y=costheta at point where theta=pi/4

y=(x-2)^2 at point (3,1)

x=cos2t, y=sint at point where t=0

x=t+3, y=t^2-5 at point where t=1

(y-2)^2=4(x-1) at the vertex.

thanks.<!-- google_ad_section_end -->

all u need to do is differentiate then sub in the x-value at each point to find the gradient of the tangent at this point. Then use the point-gradient formula
y - y₁ = m(x - x₁)
gradient of normal = -1/(gradient of tangent), find equation in same way

 

[dongerluo]

Help with Conics<!-- google_ad_section_end -->

<HR style="COLOR: #d1d1e1; BACKGROUND-COLOR: #d1d1e1" SIZE=1><!-- google_ad_section_start -->i Dont know how to apprach these questions,
need to find the normals and tangents of the following parabolas at certain points.

please show working

y^2=2(x-3) at point (5,2)

x-cos2theta, y=costheta at point where theta=pi/4

y=(x-2)^2 at point (3,1)

x=cos2t, y=sint at point where t=0

x=t+3, y=t^2-5 at point where t=1

(y-2)^2=4(x-1) at the vertex.

thanks.<!-- google_ad_section_end --></SPAN>

the first one u can dy/dx both side and sub in Y,X value to find dy/dx
other questions just simply differentiate and sub in the correspond value