1) Find the linearization L(x) of f(x) at x=a. f(x)=x+(1/x), a=3. A. L(x)=8/9x+1

Question

1) Find the linearization L(x) of f(x) at x=a. f(x)=x+(1/x), a=3. A. L(x)=8/9x+1/2 B. L(x)=10/9x+1/2 C.L(x)=10/9x+2/3 D.L(x)=8/9x+2/3 2) A man 6 ft tall walks at a rate of 7ft/sec away from a lamppost that is 12ft high. At what rate is the length of his shadow changing when he is 70 ft away from the lamppost? A. 7 ft/sec B. 7/3 ft.sec C. 245/3 ft/sec D. 7/6 ft/sec 3) Find the average rate of change of the function over the given interval. g(t) = 3 + tan(t). [-pi/4, pi/4] A. -8/5 B. -4/pi C. 0 D. 4/pi

Explanation / Answer

B. -4/pi

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