Shantanu decided to collect money for …

Shantanu decided to collect money for buying motorcycle whose cost is ₹ 200,000. The initial amount in his Bank account is ₹ 50,000. On the basis of past drives, it is determined that after t months the beginning of the drive, the rate dx/dt at which money is arranged for his motorcycle is proportional to the difference between the desired goal of ₹ 200,000 and the total amount x in the Bank account at that time. After one month, a total of ₹ 100,000 is in the Bank account. Now answer the following questions using differential equation method: What is the differential equation created? What is the fund accumulated after 3 months? ₹ 1,50,000 ₹ 1,25,000 ₹ 1,55,555 ₹ 1,40,000 What is the fund accumulated after 5 months? ₹ 1,60,000 ₹ 1,35,000 ₹ 1,55,777 ₹ 1,80,246 What is the fund accumulated after t months? 2,00,000-150,000 2,00,000-150,000 2,00,000-100,000 2,00,000-125,000 What is the value of  in the equation: x = 200,000 - 150,000 e-k?

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X+y

Integration of e^x1/(1+x^2)^3/2×x/√1+x^2

37. The traffic police has installed Over Speed Violation Detection (OSVD) system at various locations in a city. These cameras can capture a speeding vehicle from a distance of 300 m and even function in the dark. A camera is installed on a pole at the height of 5 m. It detects a car travelling away from the pole at the speed of 20 m/s. At any point, x m away from the base of the pole, the angle of elevation of the speed camera from the car C is θ. On the basis of the above information, answer the following questions : (i) Express θ in terms of height of the camera installed on the pole and x.

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If A+B+C=π, prove that cosA/ sinB.sinC. +cosB/sinC.sinA + cosC/sinA.sinB

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Solve for x : x/x-2>1/x+3

There is a regular path around the sports field Sonia.Text 18 minutes to drive wonderland of the field while Robbie texts 12 minutes for the same.Suppose they both start at the same point and at the same time and go in the same direction.After how many minutes will they Meet again at the starting point

the vertex of triangle ABC are A(1 ,1 ,0) , B(1,2,1) and C(-2,2,-1) . find the equations of the medians through A and B use the equation so obtained to find the coordinates of the centroid