if`f(x)={x^3+x^2,for0lt=xlt=2x+2,for2

If f(x)={(x^2)/2 , if 0lt=xlt=1 2x^2-3x+3/2 , if 1

If f(x) = {(3x+1,;0lt=xlt=2), (1+9x,;2ltxlt3),(30+2x,;xgt=3):} find (i) f(1) (ii) f(5/2) (iii) f(4)

The relation f is defined by f(x)={x^2,""0lt=xlt=3 3x ,""""3lt=xlt=10 The relating g is defined by g(x)={x^2,""0lt=xlt=3 3x ,""""2lt=xlt=10 Show that f is a function and g is not a function.

If f(x)=m a xi mu m{x^3, x^2,1/(64)}AAx in [0,oo),t h e n f(x)={x^2,0lt=xlt=1x^3,x >0 f(x)={1/(64),0lt=xlt=1/4x^2,1/4 1 f(x)={1/(64),0lt=xlt=1/8x^2,1/8 1 f(x)={1/(64),0lt=xlt=1/8x^3,x >1/8

Find the values of aa n db so that the function f(x) defined by f(x)={x^2+a x+b,0lt=x<2 3x+2,2lt=xlt=42a x+5b ,4

Evaluate the following integral: int_0^9f(x)dx ,\ w h e r e\ f(x){sinx ,\ 0lt=xlt=pi//2 1,pi/2lt=xlt=3e^(x-3),\ 3lt=xlt=9

Let f (x)= {{:(x ^(2),0lt x lt2),(2x-3, 2 le x lt3),(x+2, x ge3):} then the tuue equations:

If f(x) ={{:( x-1,"for " xlt2 ),( 2x-3 ,"for " xge 2 ):},then at x=2

If f(x)= {(|1-4x^2|,; 0 lt= x lt 1), ([x^2-2x],; 1 lt= x lt 2):} , where [.] denotes the greatest integer function, then f(x) is

Evaluate: int_(-1)^1f(x)dx ,w h e r ef(x)={1-2x ,xlt=0 1+2x ,xgeq0 int_(-1)^4f(x)dx ,w h e r ef(x)={2x+8,1lt=xlt=2 6x ,2lt=xlt=4