Arain gutter is to be constructed from a metal sheet of width 48 cm by bending up one-third of the sheet on each side through an angle θ.
show that the cross-sectional area of the gutter is modeled by the function
a(θ) = 256 sin(θ) + 256 sin(θ) cos(θ).
for what angle θ is the largest cross-sectional area achieved?

Which of the statements about the graph of the function y = 2x are true? check all of the boxes that apply. the domain is all real numbers x because the exponent of 2 can be any real number when the x-values increases by 1 unit, the y-value multiplies by 2. the y-intercept is (0, 1). the graph never goes below the x-axis because powers of 2 are never negative. the range is all real numbers.