​​​ HELP ME WITH THE 5 QUES. ASAP

Dear Student,
Please find below the solution to the asked query:

We have3x2+4y2=12Differentiate with respect to x:6x+8y.dydx=03x+4y.dydx=0....i4y.dydx=-3xdydx=-3x4y.....iiAgain differentiate i with respect to x:3+4y.d2ydx2+dydx2=0y.d2ydx2+dydx2=-34y.d2ydx2=-34-dydx2Multiply both sides by y2y3.d2ydx2=-34y2-dydx2y2=-34y2-9x216y2y2   Use ii=-34y2-916x2=-34y2+34x2=-343x2+4y24=-34124  As 3x2+4y2=12=-94y3.d2ydx2=-94

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