Find the simplest form of a second-order homogeneous linear differential equation that has the given solution.y = c1e-5x cos 3x + c2e-5x sin 3x
A. D2y - 10Dy + 34y = 0
B. D2y + 10Dy - 34y = 0
C. D2y - 10Dy - 34y = 0
D. D2y + 10Dy + 34y = 0
Answer: D
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Provide an appropriate response.When a fruit and vegetable stand marks up produce, the reflects that a certain amount of spoilage will occur.
Fill in the blank(s) with the appropriate word(s).
Solve the system of nonlinear equations.x4 + y = 32-4x2 + y = 0
A. (2, 4)
B. No solution
C. (2, 16), (-2, 16)
D. (2, 4), (-2, 4
)
Solve the equation.-5x + 1 - 3x - 6 = 11
A. 2
B. -
C. - 8
D. - 2
A business purchasing an item for business purposes may use straight-line depreciation to obtain a tax deduction. The formula for the present value, P, after t years is given below, where C is the cost and s is the scrap value after L years. The number L is called the useful life of the item.
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If a certain piece of equipment costs $8,100 and has a scrap value of $2,100 after 10 years, write an equation to represent the present value after t years.
What will be an ideal response?