Here are the answers to Math Fun. Please do the problems/attempt to do the problems (or just look at them briefly) before looking at the solutions. Spoiler: Solutions Spoiler: #1: Arithmetic Spoiler: #2: Arithmetic Spoiler: #3: Arithmetic Spoiler: #4: Arithmetic Note: this problems asks for the remainder, not the quotient. Therefore, the correct answer is 6 (the quotient would be approx. 7.85). Spoiler: #5: Algebra Spoiler: #6: Algebra Let x be multiple choice and y be fill-in-the-blanks. Spoiler: #7: Geometry The perimeter would be increased by 2m. (If the tile was removed from the corner, the perimeter would stay the same.) Spoiler: #8: Statistics Spoiler: #9: Statistics

Spoiler: Solutions continued (can't post more than 20 images in one post) Spoiler: #10: Statistics Spoiler: #11: Calculus Spoiler: #12: Calculus Spoiler: #13: Calculus This one's complicated. Let me walk you through this. Step 1: Solve for x using the Pythagorean Theorem. Step 2: Implicitly differentiate the Pythagorean Theorem with respect to t. Step 3: Plug in your known values and solve for dx/dt. Spoiler: #14: Calculus Here's the indefinite integral: Spoiler: #15: Calculus Here's the indefinite integral:

Spoiler Spoiler: Bonus #1: Algebra A neat little formula discovered by Carl Friedrich Gauss that easily lets you add up all numbers from 1 to x quickly: Spoiler: Bonus #2: Calculus Here's a graph so you can better visualize it: Spoiler: Bonus #3: Precalculus Spoiler: Bonus #4: Calculus False, because the result is missing the constant of integration ("+ C"). Spoiler: Bonus #5 i eight sum pi (I ate some pie.)

Do you mean 99.9 repeating %? If so, it means that 100% of people hate math, which is false, because I like math . Here are some proofs.

No im just exaggerating but you know what I mean. I also proved myself wrong cuz I like math too. Don't think too literal plz.

Anyone want me to go through a detailed explanation of the harder problems? For the limit problem, use l'Hôpital's rule.

#15 was also very difficult. Spoiler: Walkthrough 1. Factor the denominator: 2. Split the fraction into partial fractions, and substitute the numerators with constant variables: 3. Multiply both sides by the left denominator, and simplify: 4. Solve for B and C: Spoiler: B Spoiler: C 5. Substitute back the constants, expand, then factor: 6. Solve for A: Spoiler: 3 = -2A + 1 7. Substitute the constants back into the partial fraction: 8. The rest is straightforward: Spoiler: Your final answer Note: for the indefinite integral, you're on your own. But just substitute the antiderivative with x=128, then subtract the antiderivative with x=32. Ignore the constant of integration

Those were cool! Enjoyed solving them Can you make some more please? I missed the first post when you made it @CattyCat