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Solve differential equation
1. 2x dx/dy + y = 3x4
2.(x+6) dy/dx + y = x2 - 36
3. dy/dx - y/x = (Ln x)2
Slove the differential equation subject to the initial condition.
1. 2 dy/dx - 4xy = 8x
A tank initially contains 100 gallons of brine in which 40 pounds of salt was dissolved. a brine containing 2 lb/gal of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gallons per minute find the solution to the differential equation that models the mixing process.
Find the exact value of the real number y.
1. y= csc-1 (1)2. y= arcsin (-1/2)
If the perimeter fence costs $5 per yard and the fence down the middle costs $3 per yard, determine the dimensions of the corral so that the fencing cost will be as small as possible.
An open box is to be made from a square piece of sheet metal by removing a square of side 3 inches from each corner and turning up the edges. If the volume of the box is to be 1728 cubic inches, what is the length of the sides of the square of the..
Find the first and third quartiles of the data set.
Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)
What is the test statistic,What would the hypothesis be for such a test?
a bowl can hold 486 square root of soup what is the diameter of the bowl?
Evaluate the integral by changing to spherical coordinates. 0∫6 0∫√(36 - x^2) √(x^2 + y^2)∫√(72 - x^2 - y^2) xy dz dy dx.
You are designing a rectangular poster to contain 162 in2 of printing with a 4 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used?
Joshua draws two ping-pong balls from a bowl of twenty ping-pong balls numbered 1 to 5. Provide a sample space for this experiment if
A farmer has 700 feet of fence with which to fence a rectangular plot of land. The plot lies along a river so that only three sides need to be fenced. Estimate the largest area that can be fenced.
Find the average rate of change of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.)
A sink can be filled by cold water faucet in 4 minutes. The drain can empty a full sink in 8 minutes. If the sink is empty and both the cold faucet and the drain are open, how long it take the sink to overflow?
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