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What is the inverse Laplace transform of (s+1)/((s+4)(s+5)(s+3))? Show work using partial fraction expansion and using Heavside method.
The opening of the cannon pictured at the left is 16 feet above the ground. The daredevil, who is shot out of the cannon, reaches a maximum height of 55 feet after about 1.56 seconds and hits a net that is 9.5 feet off the ground after 3.25 second..
Try to find a number for x that when substituted in the formula yeilds a composite number. need to use 5 numbers. 0, 2 odd, 2 even.
how can you check your answer to determine whether it is correct? Demonstrate the process of checking an answer with an example.
You decide to start your article with a math example that the readers can understand. Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing.
A poster is to have an area of 250 in2 with 3 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Find the inverse of the matrix, if it exists. Verify your answer. (If an answer does not exist, enter DNE.)
A man rows a boat 350 feet upstream against a constant current in 10 minutes. He then rows 275 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
The ice sculpture is a solid with base R. Cross sections of the sculpture perpendicular to the x-axis are right triangles with the hypotenuse of the triangle in the base. Find the volume of ice that is discarded when creating the sculpture.
Use the binomial distribution to find the probability that the company makes a profit from the 1300 policies. Compare this result to that from part b.
A 5×7 photograph has a rectangular cardboard mat frame that is an equal depth on all four sides. If the total area of the mat is 99 in2, what is the depth of the mat?
A gun has a muzzle speed of 50 meters per second. What angle of elevation should be used to hit an object 170 meters away? Neglect air resistance and use g = 9.8 m / sec^{2} as the acceleration of gravity.
An architect has allocated a rectangular space of 264 ft second power for a square dining room and a 10-ft wide kitchen. Find the dimension of each room.
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