handwrit.e and show all work and steps

5. Find the limit of the function algebraically. (2 points) x2 + 3 lim X-+0 * 46. A building has an entry the shape of a parabolic arch 22 ft high and 28 ft wide at the base, as shown below. X 22 ft L 28 ft Find an equation for the parabola if the vertex is put at the origin of the coordinate system. (2 points)4. Find a recursive rule for the nth term of the sequence. 5, 20, 80, 320, ...5. Find an explicit rule for the nth term of the sequence. -5, -30, -180, -1080,Graph each pair of parametric equations. (2 points each) 1. x = 3 sin 3 t y = 3 cos 3 t HHHH HHHH -10 10 X2. X = 7 sin t + sin 7t y = 7 cost + cos 7t H HH HH HHHH > -10 10 X3. X = 2t y = t +5, -2sts3 10 -10 10 X4. X = 2t - 1 y = t2 +5, -4sts4 -10 105. x = 6 sin t y = 6 cost, Osts 2n -10 10 X -10-7. Find the first six terms of the sequence. a 1 =-5, an = an-1 +8