Solutions Manual for Calculus 10th Edition by Anton Bivens Davis ISBN 0470647701 9780470647707 Full link download Test Bank: https://testbankpack.com/p/test-bank-forcalculus-10th-edition-by-anton-bivens-davisisbn-0470647701-9780470647707/ Solutions Manual: https://testbankpack.com/p/solution-manual-for-calculus-10th-edition-by-antonbivens-davis-isbn-0470647701-9780470647707/
Exercise Set
2.1
Answers to Odd-Numbered Exercises
A7
mtan = (50 − 10)/(15 − 5) = 40/10 = 4 m/s.
1. (a) (m/s)
! Exercise Set 2.1 (Page 000) 5
4
3 2 1
y
1. (a) 4 m/s (b)
0
5
10
15 20
(b) Time (s) 3. (a) 0 cm/s (b) t = 0, t = 2, and t = 4.2 minimum: t = 3 (d) −7.5 cm/s
(c) maximum: t = 1;
At t = 8 s, m tan ≈ (140 − 0)/(10 − 4) = 140/6 ≈ 23.33
≈ (90 − 0)/(10 − 2) = 90/8 = 11.25 m/s.
2. At t = 4 s, m tan
5. straight line with slope equal to the velocity m/s.
7. Answers may vary.
9. Answers may vary.
y
y
(10 − 10)/(3 − 0) = 0 cm /s.
3. (a)
y = f (x) L
(b)
y = f (x)
t = 0, t = 2, t = 4.2, and
t = 8 (horizontal tangent line). L
x
x
(c) maximum: t = 1 (slope > 0), minimum: t = 3 (slope < 0). (d)
(d)
y
− 18)/(4 − 2)(d =)
y
(slope of estimated tangent line to curve at
−7.5 cm/s
4 3 4. (a)2 decreasing (slope of tangent line decreases 1 x Tangent
(b) increasing (slope of tangent line increases
t = 3).
with increasing time) with increasing time)
−1 Tangent x i(nxc-arx eias)sing (slope of tangent line inc reases with increasing time) Secant 4
(c)
15. (a) 2x0 (d) decreasing
1 3
line decreases with increasing time)
2 x 0 2 Responses to True–False questions may be abridged to save space. ( b) −2
17. ( a) 1( s l o + p e √ of t ang ent( b)
5. It is a straight line with slope equal
to the velocity.
19. True; set h = x − 1, so x = 1 + h and h → 0 is equivalent to x → 1. 21. False; velocity is a ratio of change in position to change in time. 6. The velocity increases from time 0 to time t 0 , so the ◦ F/h 23. (a) 72◦ F at about 4:30 p.m. (b) 4 (c)− 7 ◦ F/h at about 9 time t1 , the velocity, and
p.m.
the slope, decrease.
25. (a) first year (d) to zero, so there is a sharp b end in the curve at that point.
(b) 6 cm/year
Growth rate (cm/year) 40
10
slope of the curve increases during
that time. From time t 0 to
At time t1 , the velocity, and hence the
slope, instantaneously drop
(c) 10 cm/yearsat about age 14
30 20