`x+x+x+ dot(y\ t i m e s)=\ ` .............

Write each of the following products in exponential form: a\ x\ a\ x\ a\ x\ a\ x .15\ t i m e s 8\ x\ b\ x\ b\ x\ b\ x\ a\ x\ a\ x\ a\ x\ a 5\ x\ a\ x\ a\ x\ a\ x\ b\ x\ b\ x\ c\ x\ c\ x\ c 7\ x\ a\ x\ a\ x\ a 8\ t i m e s\ \ x\ b\ x\ b\ x\ b\ x .5\ t i m e s 4\ x\ a\ x\ a\ x\ . . . .\ 5 times x\ b\ x\ b\ x\ b\ . . . . . 12 times \ x\ c\ x\ c .15\ t i m e s

Write each of the following in exponential form: a\ x\ a\ x\ a\ x\ a\ x\ a\ x\ a\ x\ a a\ x\ a\ x\ a\ x\ a ..10\ t i m e s 17\ "x"\ x\ "x"\ x\ "x"\ x\ y\ "x"\ y\ "x"\ y y\ x\ y\ x\ y\ x\ y\ x\ y ..20\ t i m e s 7\ x\ a\ x\ a\ x\ b\ x\ b\ x\ b\ x\ c 13\ x\ p\ x\ p\ x\ p\ x .7\ t i m e s\ x\ q\ x\ q\ x\ q .12\ t i m e s

Which of the following quantities vary inversely as each other? The number of x men hired to construct a will and the time y takes to finish the job. The length x of a journey by bus and price y of the ticket Journey (x\ k m) undertaken by a car and the patrol (y\ l i t r e s) consumed by it.

(lim)_(x->oo)(logx^n-[x])/([x]),\ n in N ,\ ([x]\ d e not e s\ t h e\ in t ege r\ l e s stanor\ e q u a l\ to\ x)\

The area enclosed between the curves y=(log)_e(x+e),x=(log)_e(1/y), and the x-axis is 2s qdotu n i t s (b) 1s qdotu n i t s 4s qdotu n i t s (d) none of these

The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x a n dygeq1nx is 6-41n2s qdotu n i t s (b) 41n2-2s qdotu n i t s 21n2-4s qdotu n i t s (d) 6-21n2s qdotu n i t s

If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi)a n df(x)=f(2pi-x),AAx in (pi,2pi), then the area enclosed by y=f(x) and the x-axis is pis qdotu n i t s (b) 2pis qdotu n i t s 2s qdotu n i t s (d) 4s qdotu n i t s

A wave pulse is travelling on a string at 2 m/s. displacement y of the particle at x = 0 at any time t is given by y=2/(t^2+1) Find (i) Expression of the function y = (x, t) i.e., displacement of a particle position x and time t.

Let f(x)=m in i mu m(x+1,sqrt(1-x)) for all xlt=1. Then the area bounded by y=f(x) and the x-axis is 7/3s qdotu n i t s 1/6s qdotu n i t s (11)/6s qdotu n i t s (d) 7/6s qdotu n i t s