Search results with tag "2260 exam"
Math 2260 Exam #3 Practice Problem Solutions
www.math.colostate.eduMath 2260 Exam #3 Practice Problem Solutions 1.Does the following series converge or diverge? Explain your answer. X1 n=0 2n 3n+ n3: Answer: Since 3 n+ n3 >3 for all n 1, it follows that 2n 3n+ n3 < 2n 3n = 2 3 n: Therefore, X1 n=0 2n 3n+ n3 < X1 n=0 2 3 n = 1 1 2 3 = 3: Hence, the given series converges.
Math 2260 Exam #1 Practice Problem Solutions
www.math.colostate.eduMath 2260 Exam #1 Practice Problem Solutions 1.What is the area bounded by the curves y= x2 1 and y= 2x+ 7? Answer: As we can see in the gure, the line y= 2x+ 7 lies above the parabola y= x2 1 in the region we care about. Also, the points of intersection occur when 2x+ 7 = x2 1 or, equivalently, when 0 = x2 2x 8 = (x 4)(x+ 2);
Math 2260 Exam #1 Practice Problem Solutions
www.math.colostate.eduMath 2260 Exam #1 Practice Problem Solutions 1.What is the area bounded by the curves y= x2 1 and y= 2x+ 7? Answer: As we can see in the gure, the line y= 2x+ 7 lies above the parabola y= x2 1 in the region we care about.