Find the values of c such that the area of the region bounded by the parabolas . y = 16x2 − c2 and y = c2 − 16x2. is 144

Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?