Questions 6,8,9 and 10 Find the derivative of the function.3) f(x) = (8x - 7)(3 – 8x³ )A) -64x³ +56x² +24C) -256x4 + 168x3 +24x3)B) -256x3 + 168x2+24x - 21D) -256x3 + 168x2 +24F-14) у -4х - 84)8A)4x -8C) 8x-8(4x -8)28xB) -(4x – 8)2D)(4х-8)25) The position of a particle moving along a coordinate line is s=2+2t with s in meters and t inseconds. Find the particle's velocity at t=1 sec.5)A) 1 m/secm/secm/secD)m/sec6) A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assumethat the length remains a constant 50.0 mm. Find the rate of change of surface area with respectto radius when the radius is 0.050 mm. (Answer can be left in terms of t).A) 50.2n mm2 /mmC) 100.0 7 mm2/mm6)B) 100.2n mm²/mmD) 50.1n mm2/mmIf s represents the displacement and t represents the time for an object moving with rectilinear motion according tothe given function, find the instantaneous velocity for the given time.7) s=713 +1012 +4t +10; t=37)A) 137B) 87C) 263D) 2538) The power P (in W) generated by a particular windmill is given by P= 0.015 V3 where V is thevelocity of the wind (in mph). Find the instantaneous rate of change of power with respect tovelocity when the velocity is 9.5 mph. Round answer to the nearest tenth.A) 9.0 W/mph8)B) 25.7 W/mphC) 4.1 W/mphD) 0.4 W/mph9) Murrel's formula for calculating the total amount of rest, in minutes, required after performing a9)30(w - 4)w- 1.5particular type of work activity for 30 minutes is given by the formula R(w) =wherew is the work expended in kilocalories per min. A bicyclist expends 6 kcal/min as she cycleshome from work. Find R'(w) for the cyclist; that is, find R'(6).A) 13.33 min2/kcalC) 3.7 min?/kcalB) 2.96 min2/kcalD) 4.44 min2/kcal10) The electric power P (in W) as a function of the current i (in A) in a certain circuit is given by10)P=25i2 +70i. Find the instantaneous rate of change of P with respect to i for i=0.9 A.D) 115 W/AA) 108 W/AB) 92.5 W/AC) 83.25 W/A

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6) A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume that the length remains a constant 50.0 mm. Find the rate of change of surface area with respect to radius when the radius is 0.050 mm. (Answer can be left in terms of n).

6) A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume that the length remains a constant 50.0 mm. Find the rate of change of surface area with respect to radius when the radius is 0.050 mm. (Answer can be left in terms of n).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Questions 6,8,9 and 10

Find the derivative of the function.
3) f(x) = (8x - 7)(3 – 8x³ )
A) -64x³ +56x² +24
C) -256x4 + 168x3 +24x
3)
B) -256x3 + 168x2+24x - 21
D) -256x3 + 168x2 +24
F-1
4) у -
4х - 8
4)
8
A)
4x -8
C) 8x-8
(4x -8)2
8x
B) -
(4x – 8)2
D)
(4х-8)2
5) The position of a particle moving along a coordinate line is s=2+2t with s in meters and t in
seconds. Find the particle's velocity at t=1 sec.
5)
A) 1 m/sec
m/sec
m/sec
D)
m/sec
6) A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume
that the length remains a constant 50.0 mm. Find the rate of change of surface area with respect
to radius when the radius is 0.050 mm. (Answer can be left in terms of t).
A) 50.2n mm2 /mm
C) 100.0 7 mm2/mm
6)
B) 100.2n mm²/mm
D) 50.1n mm2/mm
If s represents the displacement and t represents the time for an object moving with rectilinear motion according to
the given function, find the instantaneous velocity for the given time.
7) s=713 +1012 +4t +10; t=3
7)
A) 137
B) 87
C) 263
D) 253
8) The power P (in W) generated by a particular windmill is given by P= 0.015 V3 where V is the
velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to
velocity when the velocity is 9.5 mph. Round answer to the nearest tenth.
A) 9.0 W/mph
8)
B) 25.7 W/mph
C) 4.1 W/mph
D) 0.4 W/mph
9) Murrel's formula for calculating the total amount of rest, in minutes, required after performing a
9)
30(w - 4)
w- 1.5
particular type of work activity for 30 minutes is given by the formula R(w) =
where
w is the work expended in kilocalories per min. A bicyclist expends 6 kcal/min as she cycles
home from work. Find R'(w) for the cyclist; that is, find R'(6).
A) 13.33 min2/kcal
C) 3.7 min?/kcal
B) 2.96 min2/kcal
D) 4.44 min2/kcal
10) The electric power P (in W) as a function of the current i (in A) in a certain circuit is given by
10)
P=25i2 +70i. Find the instantaneous rate of change of P with respect to i for i=0.9 A.
D) 115 W/A
A) 108 W/A
B) 92.5 W/A
C) 83.25 W/A

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