Answer to Question #66190 in Calculus for suraj

Question

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