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In Problems 37‒40 proceed as in Example 6 to solve the given initial-value problem. Use a graphing utility to graph the continuous function y(x).
40.
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FIRST COURSE IN DIFF.EQ.-WEBASSIGN
- In Problems 2–4, for the given functions fand g find: (a) (f° g) (2) (b) (g • f)(-2) (c) (fo f) (4) (d) (g ° 8) (-1) 2. f(x) = 3x – 5; g(x) = 1 – 2r 3. f(x) = Vx + 2: g(x) = 2x² + 1 4. f(x) = e"; g(x) = 3x – 2arrow_forwardIn Problems 12–15, determine whether f is continuous at carrow_forward4. Suppose the following functions are a general solution of: y(4) + a3y" +a2y" + a1y' + a0y = 0arrow_forward
- In Problems 19–22, construct a polynomial function f that has the given properties. There is no unique answer. 19. f is of degree 4, its graph is symmetric with respect to the y-axis, y-intercept is (0, –6)arrow_forward13) Match the graph with the correct function. (b) S) = -1 2r + 1 (a) S(1) %3D %3D 2r +1 ? + 2r + 2 2r - 1 (e) None of these x' + 2r? + x- 2 2x +1 (c) S(x) = (d) S(x) 14)arrow_forward4. If f(x, y)=In(2x + 3 e), then- aff axy for this function isarrow_forward
- 16. The resident population P of the District of Columbia (in thousands) from 1995 through 2005 can be modeled by where t is the year, with t = 0 corresponding to 2000. (Source: U.S. Census Bureau) (a) During which year, from 1999 through 2005, was the population the greatest! P = 0.26943 – 2.048/² – 0.73t + 571.9, -1arrow_forward19. If g(x) = x + 1 and f (g(x)) x+1 %3D what is f (x)? x+3 1 (A)- x+2 (B)– x+2 x+1 (C)*t1 x+2 x+1 (D +1 x+3arrow_forward4.3-10arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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