Question: A cooperative society of farmers …

Question: A cooperative society of farmers has 50 hectares of land to grow two crops A and B. The profits from crops A and B per hectare are estimated as Rs. 10,500 and Rs. 9,000 respectively. To control weeds, a liquid herbicide has to be used for crops A and B at the rate of 20 litres and 10 litres per hectare, respectively. Further not more than 800 litres of herbicide should be used in order to protect fish and wildlife using a pond which collects drainage from this land. Keeping in mind that the protection of fish and other wildlife is more important than earning profit, how much land should be allocated to each crop so as to maximize the total profit? Form an LPP from the above and solve it graphically. Do you agree with the message that the protection of wildlife is utmost necessary to preserve the balance in environment?

Find all vectors of magnitude 10√3 that are perpendicular to the plane of i+2j+k and -i+3j+4k

What is the maximum value of the function sin x + cosx

function f is defined as f(x) = {2x+2, x<2; k, x=2; 3x, x>2} find the value of k for which the function f is continuous at x=2

What is the maximum value of sinx + cos x

Prove that tan–¹ (x+1) + tan–¹(x-1) = tan–¹ 8/31

Find the second order derivatives of the functions x²+3x+2

Y=sin√ax^2+√bx+√c

Three friends Ravi Raju

Project on to minimise the cost of the food, meeting the dietary requirements of the staple food of the adolescent students of your school. Task to be done 1. Make a survey of atleast 100 people to find the staple food they consume on daily basis. 2. Select two food items constituting one cereal and one pulse. 3. Find from dietician minimum requirement of protein and carbohydrates for an andolescent and also find the content of protein and carbohydrates in 1 Kg of selected cereal and pulse from the market. 4. Find the minimum cost of the selected cereal and pulse from market. 5. formulate the corresponding linear programming problem. 6. solve the problem graphically. 7. Interpret the result.

Y= 1/2 [tan¯¹(2x/1-x²) + 2tan¯¹(1/x)