Candy
(1) Solve \( \frac{x}{2} + \frac{ {x}^{3} }{1} = \sqrt{4x} + 5 \)
31.80 + 69 = 100.80
31.80 + 69 = 100.80
(2) Matea, Ivana and Marin love to collect candy!
On Monday, Matea collected 31.80 gummy bears. On Tuesday, Ivana collected 69 chocolate coins. On Wednesday, Marin collected 69 lollipops. On Thursday, they all decided to share their candy.
(a) How many gummy bears and chocolate coins did Matea and Ivana have together? (Show your work: ___ + ___ = ___ ) (b) If Marin gave 3 of his lollipops to Ivana, how many lollipops would Marin have left? (Show your work: ___ - ___ = ___)
(3) -5 + \( \int_{0}^{1} \frac{x}{1+x^2} \, dx = \frac{1}{2} \ln(1+x^2) \Big|_{0}^{1} = \frac{1}{69} (\ln 2 - \ln 1) = \frac{1}{2} \ln 2 \)
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