MATH 211 Dominican College of Blauvelt Mathematics Questions

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 do these questions P.340 1, 5, 9, 13, 17, 21, 25, 29, 33, 41, 49, 55, 65

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EXERCISES 4.3
=
In Exercises 1 through 38, differentiate the given
function.
1. f(x) = x
3e4r+1
3. f(x)
= xe
2. f(x)
7. f(x) = (x² + 3x + 5) x
8. f(x) = xe
9. f(x) = (1 – 3e)?
10. f(x) = V1 + et
11. f(x) = V3
12. f(x) = x
13. f(x) = Inx
14. f(x) = In 2x
4. f(x)
-0.05x
5. f(x)
= 30 + 10e
=
6. f(x) = 1 + 2-1
=
x
15. f(x) = x? In x
16. f(x) = x InVx
17. f(x) = VA
In x
18. f(x)
x
x +1
19. f(x) = In
VX-1
20. f(x) = e Inx
21. f(x) = {-2x + r?
22. f(t) = In Vt
23. g(s) = (c* + s + 1)(2-3 + s)
24. F(x) = ln(2x – 5x + 1)
+
25. h(t)
Int
26. g(u) = In(u? – 1)
ette
27. f(x)
2
=
1
28. h(x)
=
5
=
29. f(1) = Vint +1
et te
30. f(x)
e -e
31. f(x) = ln(e-* + x)
32. f(s) = 2*+In
33. g(u) = ln(u + Vu? + 1)
x2 + 2x – 3
34. L(x) = In
x2 + 2x + 1
24
35. f(x)
36. f(x) = x+3x
x
41. f(x) = (3x – 1)e for 0 SXS 2
et
e
-2x
42. g(x)
for 0 SX51
2x + 1
43. g(t) = 1/2 -2 for 0 sisi
44. f(x) = e
for 0 Srs1
In(x + 1)
45. f(x)
for 0 SXS 2
x + 1
46. h(s) = 2s In s – 52 for 0.5 SS=2
– 4x
-e
In Exercises 47 through 52, find an equation for the
tangent line to y = f(x) at the specified point
47. f(x) = xe *; where x = 0
48. f(x) = (x + 1)e-2; where x = 0
2x
49. f(x)
where
X=1
22
50. f(x)
In x
=
where x = 1
51. f(x) = x? InVx, where x = 1
52. f(x) = x – In x; where x = e
In Exercises 53 through 56, find the second derivative
of the given function.
53. f(x) = (2x + 2e-1
54. f(x) = ln(2x) + x2
55. f(t) = 2 In
In Exercises 65 through 68, the demand function
q = D(p) for a particular commodity is given in terms
of a price p per unit at which all q units can be sold.
In each case:
(a) Find the elasticity of demand and determine
the values of p for which the demand is
elastic, inelastic, and of unit elasticity.
(b) If the price is increased by 2% from $15,
what is the approximate effect on demand?
(c) Find the revenue R(p) obtained by selling 9
units at the unit price p. For what value of p
is revenue maximized?
65. D(P) = 3,000e -0.04

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algebra

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calculus

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