1. [41.04 Points] DETAILS SCALCETB 8.3.024. MY NOTES ASK YOUR TEACHER The masses m, are located at the points Pr Find the moments M: and My and the center of mass of the system. m1=4, m2=3, m3=2, m4=5; P,(6.4). P2(3. -1). P3(-2. 1). P4(-1. -5) 2 ll 2 II (2.?) = 0:\" 2. [41.04 Points] DETAILS SCALCET9 8.3.037. MY NOTES ASK YOUR TEACHER Find the centroid of the region bounded by the curves y = 2x3 2x and y = 2x2 2. Sketch the region and plot the centroid to see if your answer is reasonable. _ _ 1 24 (X. y) = 5 35 Viewing Saved Work Revert to Last Resgonse 3. [41.04 Points] DETAILS SCALCET9 11.1.007. MY NOTES ASK YOUR TEACHER List the rst ve terms of the sequence. an=(_1;: 1 aa'[:] 54=[:] 55=[:] 4. [41.04 Points] DETAILS SCALCET9 11.1.035. MY NOTES ASK YOUR TEACHER Determine whether the sequence converges or diverges. If it converges. nd the limit. (If the sequence diverges, enter DIVERGES.) an = e-ZNE \"m a =: nw IT 5. [41.04 Points] DETAILS SCALCET9 11.1.055. MY NOTES ASK YOUR TEACHER Determine whether the sequence converges or diverges. If it converges, nd the limit. (If the sequence diverges, enter DIVERGES.) an = In(5n2 + 3) - mm2 + 3) lim 3 = I'lDII In 6. [41.04 Points] DETAILS SCALCET9 11.1.081. MY NOTES ASK YOUR TEACHER Determine whether the sequence is increasing, decreasing, or not monotonic. an = 7n(-6)\" 0 Increasing O decreasing 0 not monotonic Is the sequence bounded? O bounded 0 not bounded 7. [41.04 Points] DETAILS SCALCET9 11.2.01 1. MY NOTES | ASK YOUR TEACHER Find at least 10 partial sums of the series. (Round your answers to five decimal places.) a: 216 n-l (-3)" Graph both the sequence of terms and the sequence of partial sums on the same screen. Does it appear that the series is convergent or divergent? If it is convergent, nd the sum. (If the quantity diverges, enter DIVERGES.) If it is divergent, explain why. 0 The terms of the series do not approach 0. O The sequence of partial sums ls divergent. O The series is convergent. 8. [41.04 Points] DETAILS SCALCET9 11.2.019. MY NOTES | ASK YOUR TEACHER Determine whether the series is convergent or divergent by expressing sn as a telescoping sum, If it is convergent, nd its sum, or the quantity diverges, enter DIVERGES.) 2 21 n=1n(n+3) :l 9. [-11.04 Points] SCALCET911.2.055. ASKYOUR TEACHE Express the number as a ratio of integers. 1.?5 = 1175175175... :l 10. [-11.04 Points] DETAILS SCALCET9 11.3.0118. MY NOTES Use the Integral Test to determine whether the series is convergent or divergent. a: -4 2 I739\" 11:! Evaluate the following integral. a: _4 fxzexdx 1 Since the integral vSeiect o nite, the series is .Select a . ASK YOUR TEACHE