1.     Use the Fundamental Theorem of Calculus to compute the following:

dt

2. The region bounded by the parabola y =  and the line y = 3x in the first quadrant is to be revolved about the x-axis to generated a solid. Find the volume of the solid.

3. dx Answer:

4. dz Answer:

5.  dx

6.  , x > 1

7.  dx

8. Find the first 4 non-zero terms in the Maclaurin series                                                        f(x) =  

9. Find all values of “x” for which the given Power Series converges:

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1. Use the Fundarnejltal Theorem of Calculus to compute the following: i sinx 3
dx 1 at El}; 2 2. The region bounded by the parabola v = x? and the line 37 = 3): in the first quadrant i
to be revolved about the x—axis to generated a solid. Find the volume of the solid. 8. Find the first 4 non-zero terms in the l’vladaurin series ftxl : In {1+x] 1—: ‘9. Find all values of "x" for which the given Power Series converges: on (3—1)“ n=1 fl