Search results with tag "Practice problem solutions"
Week 1: Calculus I Practice Problem Solutions
www.math.ucla.eduChristian Parkinson GRE Prep: Calculus I Practice Problem Solutions 3 so fis constant. Problem 11. Let f(x) = x2+sin(x) for x>0. Find f0(x). Solution. The temptation here is to use the power rule or the exponential rule but in the current form, neither apply since both the base and the exponent depend on x. To x this, we write f(x) = e(2+sin( x ...
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. 2.Does the following series converge or ...
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);