Suppose you need to know an equation of the tangent plane to a surface S at the point P(2; 1; 3). You don't have the equation for S but you know that the curves r1(t) = h2 + 3t; 1 t2; 3 4t + t2i r2(t) = h1 + t2; 2t3 1; 2t + 1i both lie on S. Find the equation of the tangent plane at P.

24/56=hx^7

step-by-step explanation:

10 you would take 50/ .2

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)