The range of the function $f(x)=5-\frac{1}{3}sin(\frac{x}{4})$ is

a$)\frac{-1}{4}+5,\frac{1}{4}+5$

b$)\frac{-1}{5}+4,\frac{1}{5}+4$

c$)\frac{-1}{3}+5,\frac{1}{3}+5$

d$)\frac{-1}{3}+4,\frac{1}{3}+4$

$\underset{x0}{lim}(1+2x{)}^{cscx}$

a$)0$

b$)1$

c$)2$

d$)e^2$

The coordinates of the inflection point on the curve $y=(x+1)ta{n}^{-1}x$ is:

a$)(-1,0)$

b$)(0,0)$

c$)(0,1)$

d$)(1,\frac{}{4})$

e$)(1,\frac{}{2})$

The equation of the tangent to the curve $sinx+cosy=1$ at the point $(\frac{}{2},\frac{}{2})$ is :

a$)y=x+$

b$)y=\frac{}{2}$

c$)y=x$

d$)y=x+$

e$)y=\frac{x}{2}+\frac{}{2}$

Which of the following is an equation of a curve that intersects at right angles every curve of the family $y=\frac{1}{x}+k,$ where $k$ is a real number

a$)y=-x$

b$)y=-x^2$

c$)y=-\frac{1}{3}{x}^3$

d$)y=\frac{1}{3}{x}^3$

e$)y=lnx$