1. Determine if the improper integral converges or diverges. If it converges evaluate integral. a) b) c) ܐ 0 +00 3 8 -8 1 dx ܐx+9 21 1+ܐ dr dx d) e) 2 9 0 X x? -3x-2 8 37x x=8 dx dx

A glacier is a giant mass of rocks and ice that flows downhill like a river. Portage Glacier in Alaska is about 9 miles, or 31,678 feet, long and moves 470 feet per year. Icebergs are created when the front end of the glacier flows into Portage Lake. How long does it take for ice at the head (beginning) of the glacier to reach the lake?

A cement truck carries 5 tons of cement. It stops and unloads at 2 sites. Each site gets 1,500 kilograms of cement. How many tons of cement are left in the truck?

THREE STUDENTS FOUND THE VOLUME OF A SPHERE USING 3.14 FOR PI, BUT EACH STUDENT MADE, MISTAKE. USE THE TYPING TOOL TO DESCRIBE EACH MISTAKE AND THEN FIND THE CORRECT VOLUM TO THE NEAREST HUNDREDTH. TEAGAN ANGEL BROCK r= 6 cm d = 8 cm d = 4 cm V = 3.14)(6") v= (3.14(8) V = V= (6.28)3 V = v-.10512) 14)(S V = 75.36 cm3 V = 2,143.6 cm3 V = 330.2 cm3 Explain Teagan's error: Explain Angel's error: Explain Brock's error: Find the correct volume: Find the correct volume: Find the correct volume: