Question

Use Principle of Mathematical Induction to prove that:n^2-1 is divisible by 8 whenever n is an odd positive integer.

e

How can this question be solve using simplex method;

A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30kg) of food P containing 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the sane quantity of foods Q contain 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet require at least 240 units of calcium, at least 460 units of iron and at most 300 units of cholesterol. How many packet of each food should be use to minimize the amount of vitamin A in the diet. What is the minimum amount of vitamin A.

If the point (3,4) lies on the graph of the equation 3y=ax+7 , find the value of a

If the point (3,4) lies on the graph of the equation ^3y=ax+7 , find the value of a

solving linear programming problems using simplex method

ex 1.1 class 10 ka ques. no 4

Find the sum of all integers between 100 and 1000 which are divisible by 9.

Find the scalar component of projection of the vector (4 Marks)
a = 2i + 3j + 5k on the vector b = 2i – 2j – k.

If a b c are all positive and are pth qth and rth terms of a G.P. then show that

HCF of of 42, 25, 65 by prime factorization method

Maths for clasestimates 6