Candy
(1) Solve \( \frac{x}{2} + \frac{ {x}^{3} }{1} = \sqrt{4x} + 5 \)
24.50 + 72 = 96.50
24.50 + 72 = 96.50
(2) Sara, Evelyn and Robert love to collect candy!
On Monday, Sara collected 24.50 gummy bears. On Tuesday, Evelyn collected 72 chocolate coins. On Wednesday, Robert collected 72 lollipops. On Thursday, they all decided to share their candy.
(a) How many gummy bears and chocolate coins did Sara and Evelyn have together?
(Show your work: ___ + ___ = ___ )
(b) If Robert gave 3 of his lollipops to Evelyn, how many lollipops would Robert have left?
(Show your work: ___ - ___ = ___)
(3) -4.25 + \( \int_{0}^{1} \frac{x}{1+x^2} \, dx = \frac{1}{2} \ln(1+x^2) \Big|_{0}^{1} = \frac{1}{72} (\ln 2 - \ln 1) = \frac{1}{2} \ln 2 \)