O, Ha\d, .Mqth loq. , Tinal , &,o o B ta l i t l "3o * l5: 3 o.

So\ve 4 o{ t f te 5 yroblerns.

Let {c*l b e a. qontinr^CI rs , yron- \rego,ti ve $,rncti oh .Sho,^, thot $c^l=e { . , 'asx( b { f {?.*d,x=o.

(*sin(x-g) r . (*t ( tx)= Jo_l** f*b and Vcxl= )Sin(x-b)sinc6:ctg

?.

1X: rno\x ( o, jc't)=oJ

x

?J

{

?

<irh-l

D Lut {. ,*, = = sintx' : tot*l*) 4o' -tr<(() Flnd {c*r = 4,E.' {,".")(b) Doe s Jncx)-+ $c*l .trni fo"rn\3 oh L'V,,T/,17( c) Doe s $ cx: -+ $t *1 u'n i{orrn \X oh lo/r, q

\ | r ( f cos( l /x) i f cr>cr

; ) L"t jcx) .=t ,L n$ a{(o, and, t "77=

(q) Is jc*l continuo,*s ? (b) :[s Z . losu,J

@ Let(4) Is trtx) uni{orrnl5 continuou.s oh [o,-)J (b) ]fs vc*rl

Fli"t ! Sin (q.+b) = sin(q.) cos(b) + cosce) sin (b) . co5 cze)= l-&si,icq),

C Ass,^*e tRot {,o and Acx) .rreGie*unn {n\eg"abLe o. La, u l ,Jc Le,ul(a) Sho,^, tRdt l{c"r-{csr I < $ {- 5{ J {o" a!r. x,b €

(b) Shoq, te"* iy ( 5,g) - T {

( j,g) \<(s$r{ - g{1 ) s;.a \x\ + ( '$r a- S{a) '$rt i t '

(c) Sho* tR"X { .e rs -Rierr ,qtn nn\q3ra-b[e oh tarbl