MTH101 Final Term Preparation by Brainy Squad

n L = lim max ∆x→0 1 + ( f '(x * ))2 ∆x k k k =1

Σ

Σ

Q9. Let f is a smooth curve on the interval [a, b]. What is the arc length L of the curve f(x) defined over the interval [a, b]?

n L = lim Σ max ∆x→0 k =1

n L = k =1 1 + ( f '(x *k ))∆xk

n L = k =1 1 + ( f (x *k ))∆x

Q10. For a graph to be symmetric about y-axis means, for each point (x,y) on the graph,the point ----------- is also on the graph

1. (x , -y)
2. (-x , y)

Q1. + ( f '(x *k ))

1. (-x , -y)

Q11. x = y2

The graph is symmetric about --------- axis

X-axis Y-axis Origin

If a quantity y depends on another quantity x in such a way that each value of x determines exactly one value of y , we say that y is ................... of x

relation function not a function not a relation

(x2 − 4) (x − 2) Domain of the function y = is

(−∞, 2)U (2,

(−∞, 2)

0)