Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces. 2 Cone: x + y2 -z2 = 0, Plane: x+ 22 = 4 f( )= Need Help? _' 21. [-/1 Points] LARCALC12 13.10.037. ASK YOUR TEACHER Common blood types are determined genetically by three alleles A, B, and 0. (An allele is any of a group of possible mutational forms of a gene.) A person whose blood type is AA, BB, or 00 is homozygous. A person whose blood type is AB, A0, or B0 is heterozygous. The Hardy-Weinberg Law states that the proportion P of heterozygous individuals in any given population is Use Lagrange multipliers to solve the following exercise. P07, 17, r) = qu + Zpr + qu where p represents the percent of allele A in the population, q represents the percent of allele B in the population, and r represents the percent of allele 0 in the population. Use the fact that p + q + r = 1 to show that the maximum proportion of heterozygous individuals in any population is %. The maximum possible proportion of heterozygous individuals occurs when (p, q, r) = ( ) . 4 n,.,,r\\ @