Find the area under the curve y = 2x -3 from * = 9 to c = t and evaluate it fort = 10 and t = 100. Then find the total area under this curve for r 2 9. (a) t = 10 19 8100 (b) t = 100 (c) Total area 1 81Determine whether the integral i5 divergent or convergent. If it is convergent. evaluate it. If net. state your answer a5 "DNE" 5 1 f 2 e _mm +1 Determine whether the improper integral converges or diverges. If it converges, determine the value of the integral. If it diverges answer DNE. 2 3 V (z -5)4Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges without being infinity or negative infinity, state your answer as "DNE". 13 13 2 Vc - 2Determine whether the following integral converges or diverges by comparison with the given integral. If the integral converges, find the number to which it converges. dx ; compare with 7 x2 + 8r OO 7 converges to -In 15 7 da 15 converges to OOH In 7 7 x2 + 8x dx diverges x2 + 8x 15 O converges to 8 In 7 7 x2 + 8x converges to 8 In 7 x2 + 8x