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Form a team of 4!
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It's time for some trashketball!!!
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Every Person in your group needs a piece of paper and a pencil.
Every Person in your group needs a letter, either S, T, A, or R. Put that letter at the top of your paper (both sides). Every Person will write down the problem and solve it on their paper (you may get help from the members in your group). Only the person whose letter I call will come up and show me their paper. You get one point for a correct answer. If correct, you can shoot for bonus points. 2 from the two point line or 3 from the three point line. How to Play
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Continuous, differentiable, f(a)=f(b), f’(c)=0.
1. Continuous, differentiable, f(a)=f(b), f’(c)=0.
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Continuous, differentiable, f’(c)=f(b) - f(a) b - a
2. Continuous, differentiable, f’(c)=f(b) - f(a) b - a
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3. Yes, No- not cont. at x=-2, Yes
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4. Old Review! Infinite -4
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(Must show all supporting work!) c=0
5. (Must show all supporting work!) c=0
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Rolle’s Theorem doesn’t Apply. (Because f(0)=0 and f(2)=10.)
6. Rolle’s Theorem doesn’t Apply. (Because f(0)=0 and f(2)=10.)
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(Must show all work to earn credit!) c=1/2
7. (Must show all work to earn credit!) c=1/2
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8. Old Review! 1 DNE
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(Must show all work for credit.) c= 7/3
9. (Must show all work for credit.) c= 7/3
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Mean Value Theorem doesn’t Apply. (Because not continuous at x=0.)
10. Mean Value Theorem doesn’t Apply. (Because not continuous at x=0.)
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(Must show all work for credit.) c=-1/3
11. (Must show all work for credit.) c=-1/3
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Mean Value Theorem doesn’t Apply. (Because not differentiable at x=0.)
12. Mean Value Theorem doesn’t Apply. (Because not differentiable at x=0.)
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13. Old Review! sec 2 𝑢 ∗𝑢′ 𝑛 𝑢 𝑛−1 𝑢′
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14. 18 and 18 are the two numbers.
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15. 1500ft by 750 ft
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16. 8 in by 8 in by 4 in
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17. reverse, still, forward (0, 50) because v(t) and a(t) have opp. Signs 1 ft/sec^2 Yes, since v(t) is continuous and v(35)<-5<v(50), IVT applies. The time when v(t)=-5 is on (35, 50).
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18. −𝜋 6 sin 𝜋 6 𝑡 v(4)=-1/2. a(4)= −𝜋 6 ( ). Since both are negative, speed is increasing. t=3 and t=9 (3, 9) because v’(t)<0.
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And the winning team is...
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Homework Study for Ch 3 Part 2Test! Your test is next class!
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