Candy
(1) Solve \( \frac{x}{2} + \frac{ {x}^{3} }{1} = \sqrt{4x} + 5 \)
24.80 + 2 = 26.80
24.80 + 2 = 26.80
(2) Archie, Amelia and Henry love to collect candy!
On Monday, Archie collected 24.80 gummy bears. On Tuesday, Amelia collected 2 chocolate coins. On Wednesday, Henry collected 2 lollipops. On Thursday, they all decided to share their candy.
(a) How many gummy bears and chocolate coins did Archie and Amelia have together? (Show your work: ___ + ___ = ___ ) (b) If Henry gave 3 of his lollipops to Amelia, how many lollipops would Henry have left? (Show your work: ___ - ___ = ___)
(3) -2.75 + \( \int_{0}^{1} \frac{x}{1+x^2} \, dx = \frac{1}{2} \ln(1+x^2) \Big|_{0}^{1} = \frac{1}{2} (\ln 2 - \ln 1) = \frac{1}{2} \ln 2 \)
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