advertisement

AP Calculus Answers to 6.1 quiz practice sheet 1. S(t) = sin (t) + 2 2. Hint: change (𝑥 + 1)2 to 𝑥 2 + 2𝑥 + 1 before taking the antiderivative, then plug in (-2, 8) as your “initial condition”. 1 Answer: y = 3 𝑥 3 + 𝑥 2 + 𝑥 + 26 3 3. (we did this in class) a. 𝑦= 1 2 𝑥 2 + 𝑥 + 107 b. 419 oz or 26 lb, 3 oz 3. (why did I call this #3? Not sure…) 5 tan(x) + c 4. -.5 csc (2x) + c 5. 6. 2 5𝑥 𝑒 +𝑐 5 4 − 𝑥 − 5 ln(𝑥) + 𝑐 7. Take antiderivative of y’(t) = 802.137𝑒 1.528𝑡 to get: 𝑦 = initial condition (t=0, y=750) to get: 𝑦 = 802.137 1.528𝑡 𝑒 1.528 802.137 1.528𝑡 𝑒 1.528 + 𝑐, then plug in + 1.42868. Then plug in t=12 to get: 4.823x1010 bacteria. 8-9. I’ll have to show you these answers in class. 10. A (if dy/dx is cos x, then the graph should be showing the shape of the function that has a derivative of cos x, which is the sin x graph.) 11. B