Solutions manual for calculus 10th edition by anton bivens davis isbn 0470647701 9780470647707

Page 1

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


Turn static files into dynamic content formats.

Create a flipbook
Issuu converts static files into: digital portfolios, online yearbooks, online catalogs, digital photo albums and more. Sign up and create your flipbook.
Solutions manual for calculus 10th edition by anton bivens davis isbn 0470647701 9780470647707 by mary.flanagan139 - Issuu