Answer Happy

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Integrals. Given that Lo° 10x) -5 f(x) dx = -2, 5 [²² what is O O -7 O O28 O 14 56 3.5 -3.5 07 1.75 -1 fot S -5 2f(x) dx? 5 +6² f(x) dx = -1 and f(x) dx = 8
If 3 - f(x, y) = -2y³ + 3xy - 11y + 3x² + 7x − 22 then f equals xy 1 3 Does Not Exist -6y² + 3x - 11 6 -12y 3y + 6x + 7
Electric Current. Suppose you have two electronic devices that have different currents when x = 2. Suppose f(x) is the function that describes the current in both devices and a is an additional tool to change the current of the first device to match the current of the second device. f(x) = [a+ 4x + 5x² if x < 2 5x² + 4x + 7 if x ≥2 (a) Find the value of a that will make both currents equal at x = 2 or that f(x) continuous on (-∞0, 00). 63 O 7 None of the other answers 47 0 (b) is the function differentiable at x = 2? no yes
Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms in her motel. There are two plans before her. Plan A calls for an immediate cash outlay of $600, 000, whereas plan B calls for an immediate outlay of $300, 000. Sharon estimates that adopting plan A would yield an income stream of f(t) = 3,080, 000e0.02t dollars/year for the next 5 years, whereas adopting plan B would yield an income stream of g(t) = 3, 200, 000 dollars/year for the next 5 years. If the prevailing rate of interest is 3% / year compounded continuously, which plan will yield the higher net income (in dollars) at the end of 5 years? plan A plan B
Find the values of x for which the function is continuous. f(x) = = all x, x # all x, x # 2 O all x, x = 2 7 7 2 x+77 7x² + 2 2 O allx, x*---/7 X all real numbers