Enter your work for the questions

i) Show that x⁴+2x⁶³+5x-2=0 has at least one solution. You don't have to find the solution, just guarantee it exists.

ii) Suppose a piecewise function h(x) = cos²x + 3cos x + 2 for x 0

and h(x) = xsinx+c for x>0.

What value of c would make the function continuous everywhere?rounded to three decimal places if necessary.

iii) Use the Squeeze Theorem to evaluate lim₀²sin(x)