Involve the Variables - Calculus - Exam Key, Exams of Calculus

Download Involve the Variables - Calculus - Exam Key and more Exams Calculus in PDF only on Docsity!

2 . Answer T (true) or F (false) in the boxes provided or leave the box blank. No explanation is necessary. Every correct answer will receive 4. [3 marks] a) b) d) e) a If f is differentiable on R, then f(b)- f(1) =f (c)-(6-1) for any number 5 >1 and some number c in the interval (1,5). If f’(x)>0 on the open interval (a,b), then f is concave upward on (a,b). If f is continuous on the closed interval [0,1] and f(0)= (1), then Ff (e)=0 for some number c in (0,1). If f'(0)=0 and f"(0)>0, then the function y= f(x) has a local minimum value f(0). If f"(0)=0 or (0) does not exist, then the point (0, f(0)) is an inflection point of the function y= f(x). The function y=sinx is one-to-one on R. . State the iterative formula of Newton’s Method for a function / . [3 marks] Inv tok Quer) ee SOs) ees