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Differential Equations: An Introduction to Modern Methods and Applications
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- If the quantities x and y are related by the equation y=3x , then we say that y is __________ _________ to x and the constant of ____________ is 3.arrow_forwardSolve the following graphically. x + 3 = √12x+1 Ox=2 x = -2 or x = -4 Ox=-4 x = 4 or x = 2arrow_forwardIf x = 3 and y = 7, then 1/x + 1/yarrow_forward
- Solve the system x+1/4y-z=-3/2 1/4x+y+3/4z=1/2 -1/4x-y+1/2z=-7/4arrow_forward15. Solve logs(5- 3x)- 2log5(7 + x) = 1arrow_forwardThe stress on the material of a large circular metal pipe varies jointly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the material of the pipe. For a particular type of pipe, the stress is 103 pounds per square inch when the diameter is 5 inches, the thickness is 0.5 inches, and the internal pressure is 31 pounds per square inch. Find the necessary thickness for a pipe if its diameter is 6 inches, the internal pressure is 36 pounds per square inch, and the pipe needs to be able to handle overall stress of 126 pounds per square inch. The material of the pipe needs to be inches thick. {Give at least 3 decimal places} Submit Question H Type here to search 五0arrow_forward
- Look at each pair of solutions below. Did anyone get the correct solution? If not, spot the error or errors. Peter's Jane's solution solution Problem # 1 G** = 163x+1 x-2 x-2 = 163x+1 64 x-2 = 163x+1 4-3(x-2) = 42(3x+1) 43(x-2) = 42(3x+1) -Зх + 6 3 бх + 2 Зх- б - бх + 2 -9x = -4 -3x = 8 X = X = 3 Problem # 2 (0.6)*-3 > (0.36)-x-1 (0.6)*-3 > (0.36)¬x-1 (0.6)*-³ > (0.36)~x-1 (0.6)*-3 > (0.6²)~*-1 (0.6)*-3 > (0.6²)-*-1 (0.6)*-3 > (0.6)2(-x-1) (0.6)*-3 > (0.6)²(-x-1) (0.6)*-3 > (0.6)-2x-2 (0.6)*-3 > (0.6)-2x-2 х— 3 >-2х-2 х — 3 1 Зх . 3 3 A.arrow_forwardIn each of Problems 1 through 5, either solve the given system of equations, or else show that there is no solution. 1. X1 x3 = 0 3x₁ + x₂ + x3 = 1 -x₁ + x₂ + 2x3 = 2 -arrow_forwardSolve step by step in digital format 3. Graph and conclude according to the variable under study, productions were taken in tons of corn, sorghum and beans in three different regions of the country and the following was found in the northern zone: 500, 400, 200, respectively, for the central region the following 700,500,500 were found and for the southern region the following 1000,700,300.arrow_forward
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