Answer to Question #69869 in Calculus for gagan

Question

Which of the following statements are true or false? Give reasons for your answers. (2 × 5 =10)
i) The function R R →:f , given by | x1x|n)x(f 2 ++= l is neither even nor odd. ii) ∫ − = 0 x 22 xsindt)tsin( dx d .
iii) The area enclosed by the x-axis and the curve x cosy = over the interval ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ π π − 2 3 , 2
is 0. iv) If f and g are functions over R such that g f + is continuous, then f must be continuous. v) 0 2yx = +− is a tangent to the curve 2 3 ) 2yx()yx( +−=+ at ) 1,1( − .