With t in seconds, the velocity of an object is v left-parenthesis t right-parenthesis equals 10 plus 14 t minus t superscript 2 m/sec. (a) represent the distance traveled during the first 8 seconds as a definite integral. distance traveled equals mathpad response msnviewer_res_c05q_eoc_1_68_mathpad _34_svg viewedit (b) estimate the distance traveled by the object during the first 8 seconds by estimating the area. meters (c) calculate the distance traveled. round your answer to two decimal places. meters

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec