. If 3^3 x 3 ^ (y-2) = 3 ^-2 , the value of y is
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Answer:
⚞QUESTION⚟
Why is Atmosphere important for Us?
✤We breathe in oxygen which is one of the components of atmosphere.
✤ We breathe out carbon dioxide which in turn is taken in by plants in thier respiration.
✤ The atmosphere prevents harmful rays of the sun from reaching us.
✤ The green plants take in carbon dioxide use sunlight and water to photosynthesis and we get delicious fruits vegetables and grains from them.
✤ These give us proteins carbohydrates sugars fats minerals and other nutrients that we need.
✤ The atmospheric winds transport water from the oceans deep into the continents in the form of rain.
✤ Atmospheric winds erode rocks and are responsible for the formation of many kinds of soils with whose fertility we grow many kinds of crops.
✤ Atmosphere helps in cooling monsoon rains.
✤ Atmosphere helps in diffusion of perfumes and helps in the travelling of sound waves.
✤ Thus we can say atmosphere is important for us.
Answer:
Consider the initial value problem y' = [-3 1 0 -3]y, y(0) = [3 -4]. a. Find the eigenvalue lambda, an eigenvector upsilon_1, and a generalized eigenvector upsilon_2 for the coefficient matrix of this linear system. lambda = -3, upsilon_1 = [], upsilon_2 = [] b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. y(t) = c_1 [] + [] c. Solve the original initial value problem. y_1 (t) = y_2 (t) =
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Your friendly partner Priyanshu :)