hi tutor i need a handwritten solution of this basic calculus real life problems please include the illustrations and the detailed solution handwritten or clean typewritten subject: calculus

1. Related Rates: A cylindrical tank is being filled with water at a constant rate of 2 cubic feet per minute. The tank has a radius of 5 feet and a height of 10 feet. Find the rate at which the water level is rising when the water is 6 feet deep. 2. Optimization: A farmer wants to enclose a rectangular pasture with 1000 feet of fencina. What dimensions should the farmer use to maximize the area ot the pasture? 3.Integration: A car's velocity is given by the function V(t) = 3t"2 6t, where t represents time in seconds. Find the displacement of the car between t: 1 second and t=4 seconds. 4. Differential Equations: A population of bacteria grows at a rate proportional to its current size. If the population doubles in 10 hours, how long will it take for the population to triple