y" - 16 y = 19.2 € 42 +60e y (0) = y'(0) = 0 By Undetermined coefficient's method, wirt. Differentiate भ both y(x) sides we get y' (n) = 49e4a -46₂ €² дета +2.4e4x +9.6ne 422 -4e
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- Determine q′(x) if q(x)=−3e^x^5.Dependence of equilibria type on a parameter. In each of the problems below, the coefficient matrix contains a parameter a. (i) Determine the eigenvalues in terms of a. (ii) Find the critical value or values of a where the qualitative nature of the phase portait for the system changes. (iii) Sketch a phase portrait for a value of a slight below, and another slightly above, each critical valueFind y '. y3= 7.
- f(−3)=3, f'(-3)=3,g(−3)=3, g'(-3)=2, calculate the following: (fg)′(−3)=(f/g)′(−3)=(g/f)′(−3)=Suppose P(x) represents the profit on the sale of x Blu-ray discs. If P(1,000) = 6,000 and P'(1,000) = −9, what do these values tell you about the profit? P(1,000) represents the profit on the sale of Blu-ray discs. P(1,000) = 6,000, so the profit on the sale of Blu-ray discs is $ . P'(x) represents the marginal revenue as a function of x. P'(1,000) = −9, so the profit is decreasing at the rate of $ per additional Blu-ray disc sold.Differentiate y = 3e2x/(1 + x2.)
- Suppose P(x) represents the profit on the sale of x Blu-ray discs. If P(1,000) = 1,000 and P'(1,000) = −7, what do these values tell you about the profit? P(1,000) represents the profit on the sale of Blu-ray discs. P(1,000) = 1,000, so the profit on the sale of Blu-ray discs is $ . P'(x) represents the ---------------Select--------------- rate of change of the profit profit marginal cost marginal revenue as a function of x. P'(1,000) = −7, so the profit is decreasing at the rate of $ per additional Blu-ray disc sold.Let g(v) be the fuel efficiency of a car moving at v miles per hour with efficiency measured in miles per gallon. Suppose g(55) = 38 and g'(55) -0.58. What would you expect g(56) to be? H. =Suppose the value V of a particular car model that is t years old can be modeled by V(t) = 14,592(0.88) (a) According to the model, what is the value of a brand-new car of this type? (b) According to the model, what is the value of an 11-year-old car of this type? (c) According to the model, what is the value of a 15-year-old car of this type? (a) The value of a brand-new car of this type is $ (Round to the nearest dollar as needed.) (b) The value of an 11-year-old car of this type is $ (Do not round until the final answer. Then round to the nearest dollar as needed.) (c) The value of a 15-year-old car of this type is $ (Do not round until the final answer. Then round to the nearest dollar as needed.) 0 of 19 questions Next