The-sum-of-two-positive-numbers-is-20-find-the-numbers-i-If-their-product-is-maximum-ii-If-the-sum-of-their-square-is-maximum-iii-If-the-product-of-the-square-of-one-and-the-cube-of-the-othe Tinku Tara June 3, 2023 Arithmetic 0 Comments FacebookTweetPin Question Number 12796 by tawa last updated on 01/May/17 Thesumoftwopositivenumbersis20.findthenumbers(i)Iftheirproductismaximum(ii)Ifthesumoftheirsquareismaximum(iii)Iftheproductofthesquareofoneandthecubeoftheotherismaximum Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 01/May/17 i)a+b=20,ab=max⇒a=b=10or:f(a)=a(20−a)=20a−a2df/da=20−2a=0⇒a=10=bii)f(a)=a2+(20−a)2=2a2−40a+400df/da=4a−40=0⇒a=10=b.iii)f(a)=a2+(20−a)3ora3+(20−a)2⇒df/da=[2a−3(20−a)2]or[3a2−2(20−a)]1)2a−3(400−40a+a2)=03a2−122a+1200=0a=122±1222−4×3×12006=122±226=22,16.6a=16.6,b=3.42)3a2−2(20−a)=0⇒3a2+2a−40=0a=−2±4+3×4×406=−2±226=−4,3.3a=3.3,b=16.7 Commented by tawa last updated on 01/May/17 wow,Godblessyousir.wow,Godblessyousir. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: given-the-regular-pyramid-T-ABCD-with-a-square-base-length-AB-8-TC-6-point-P-is-mid-BC-if-x-is-the-angle-between-TP-and-BD-determine-the-value-of-cos-x-Next Next post: 1-x-x-2-x-49-1-2-x-49-1-x-Find-the-value-of-x- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.