Discuss one thing you learned during enzymes from toothpickase activity, lab manual pages on enzymes or the video. Use at least three key words such as active site, substrate, enzymes, activation level, temperature, etc. Make sure to use these terms correctly.
http://www.youtube.com/watch?v=p3iDmKTQ_hU
1
-Findthe mo
s
t general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) =
1
2
+
4
5
x2 −
5
6
x
3
F(x) =
2-Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) = (x + 3)(4x − 7)
F(x) =
3-Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) = 3×1/4 − 5×3/4
F(x) =
4-Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) = 6x + 7×1.3
F(x) =
5-Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) =
| 4 | x3 |
+
| 3 |
x4 |
F(x) =
6-Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) =
9
ex +
8
sec2 x
F(x) =
7-Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)
f ”(x) =
8
9
x8/9
f(x) =
8-Find the most general f. Use C for the constant of the first anti-derivative and D for the constant of the second anti-derivative.
f ”(x) = 6x + sin x
f(x) =
9-Find f.
f ‘(t) = 8 cos t + sec2t, −π/2 < t < π/2, f(π/3) = 4
f(t) =
10-Find f.
f
”(x) = 8 − 18x, f(0) = 6, f(2) = 16
f(x) =
11-A stone is dropped from the upper observation deck of a tower, 50 m above the ground. (Assume g = 9.8
m/s
2.)
(a) Find the distance (in meters) of the stone above ground level at time t.
h(t) =
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
s
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
m/s
(d) If the stone is thrown downward with a speed of 4 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
s
12-A car is traveling at 116 km/h when the driver sees an accident 65 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup? (Round your answer to two decimal places.)
m/s2
13-Suppose f(x) > 0 on [2, 5]. If we use 3 rectangles, then (1)*f(2) + (1)*f(3) + (1)*f(4) gives an estimate of the area under the graph of f.
True
False
14-Suppose f(x) > 0 on [2, 5].
(1.5)*f(2) + (1.5)*f(5) gives an estimate of the area under the graph of f.
True
False
15-Suppose f(x) > 0 on [2, 5].
(2)*f(3) + (1)*f(4) gives an estimate of the area under the graph of f.
True
False
