# 1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time,

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1. ## Science

Over which part of the globe do the prevailing winds blow west to east? (1 point) between 0°S and 30°S latitude between 60°S and 90°S latitude between 30°N and 60°N latitude between 0ºN and 30°N latitude Which is a difference between the trade

2. ## Chemistry

If a 0.5-mL air bubble is present in the tip of a buret, what percent error in 10-mL, 20-mL, and 40-mL samples will be result if the air bubble is dislodged during the dispensing of the samples?

3. ## Calculus

a spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. how fast is the radius of the balloon increasing at the instant the radius is 30 centimeters?

4. ## chemistry

Why is it important to make sure there are no air bubbles in the tip of a buret below the stopcock before using the buret to dispense a solution? What would be the % error if there were a 0.5 mL air bubble in the tip of a buret, and this air bubble was

5. ## physics

The basic function of the carburetor of an automobile is to atomize the gasoline and mix it with air to promote rapid combustion. As an example, assume that 31.0 cm3 of gasoline is atomized into N spherical droplets, each with a radius of 8.00 10-5 m. What

6. ## 4 Calculus Related-Rates Problems

1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time, which is 15 cubic centimeters per second. The rate

7. ## college

If a 0.5 -mL air bubble is persent in the tip of a buret, what error in 10-mL,20 m l and 40-mL samples will result if the air bubble is dislodged during the dispensing of the sample?

8. ## Calculus

A spherical balloon with a radius "r" inches has volume V(r)=(4/3)(pi)(r^3). Find the function that represents the amount of air required to inflate the balloon from a radius of "r" inches to a radius of r+1 inches.

9. ## physics

Calculate the gauge pressure inside a soap bubble 0.0002m in radius using the surface tension for soapy water

10. ## Physics

Small, slowly moving spherical particles experience a drag force given by Stokes' law: Fd = 6πηrv where r is the radius of the particle, v is its speed, and η is the coefficient of viscosity of the fluid medium. (a) Estimate the terminal speed of a

11. ## math-calculus

A spherical party balloon is being inflated with helium pumped in at a rate of 12 cubic feet per minute. How fast is the radius growing at the instant when the radius has reached 1 ft?

12. ## physics

A 1.6 air bubble is released from the sandy bottom of a warm, shallow sea, where the gauge pressure is 1.6 . The bubble rises slowly enough that the air inside remains at the same constant temperature as the water. What is the volume of the bubble as it

13. ## chemistry

A laundry can purchase soap containing 30% water for a price of \$0.30/kg FOB the soap manufacturing plant (i.e., at the soap plant before shipping costs, which are owed by the purchaser of the soap). It can also purchase a different grade of soap that

14. ## science

1) In a syringe, what happens to the air paricles when you push the plunger? 2) In a syring, what happens the the air particles in the bubble from the bubble wrap when you pull up the plunger? 3) Are there more air particles in the bubble when it is

15. ## calc

Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 {cm}^3}. How fast is the surface area of the balloon increasing when its radius is 16{cm}?

16. ## Calculus

Air is being pumped into a spherical balloon so that its volume increases at a rate of 30 cubic centimeters per second. How fast is the surface area of the balloon increasing when its radius is 19 cm? V= 4/3*pi*r^3 S= 4 pi r^2

17. ## Math

The radius, r cm , of a spherical balloon at a time t seconds is given by r = 3 + 2 / (1+t) What is the initial radius? Find the rate of change of r (w.r.t.t) when t=3

18. ## PHYSICS!

Find the gauge pressure in pascals in a soap bubble 0.04 m in diameter. The surface tension is 25.0 x 10^4 Pa.

19. ## calculus

A spherical balloon is losing air at the rate of 2 cubic inches per minute. How fast is the radius of the ballon shrinking when the radius is 8 inches.

20. ## Math

A spherical balloon is inflated with helium at the rate of 100pi ft ^3/min. How fast is the ballon's radius increasing at the instant the radius is 5ft.?

21. ## mathematics

A spherical party balloon is being inflated with helium pumped in at a rate of 11 cubic feet per minute. How fast is the radius growing at the instant when the radius has reached 2 ft? HINT [See Example 1.] (The volume of a sphere of radius r is V =

22. ## physics

A diver is 40 meters deep under the water where the temperature is 4◦C. From the diver’s gas mask an air bubble is released with volume 20 cm3 . The bubble rises to the surface where the temperature is 20◦C. What will the volume of the bubble be at

23. ## algebra

Sara goes on a slingshot ride in an amusement park. She is strapped into a spherical ball that has a radius of centimeters. What is the volume of air in the spherical ball?

24. ## Calculus: need clarification to where the #'s go

Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 \mbox{cm}^3\mbox{/s}. How fast is the surface area of the balloon increasing when its radius is 14 \mbox{cm}? Recall that a ball of radius r has volume \displaystyle

25. ## Chemistry

At the beginning of a titration to standardize the NaOH solution, Student A adjusted very carefully the initial burette volume to 0.00 mL, but he did not notice an important air bubble in the tip of the burette. At the end of the titration, the air bubble

26. ## Math( Can you help me with starting this problem)

How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dv/dt , the change in volume with respect to time, which is 15 cubic centimeters per second. The rate we

27. ## Physics Help!

An air bubble has a volume of 1.51 cm3 when it is released by a submarine 102 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume that the temperature of the air in the bubble remains constant during ascent.

28. ## Math

The volume of a spherical balloon of radius r cm is V cm3, where . Find dv/dr My answer: 4πr^2 The balloon leaks at 5cm^3 per second, how fast does the radius of the balloon leaks when the radius is 15 cm. Find the rate at which the radius is changing

29. ## calculus

The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is the volume changing when the radius is 8 centimeters? Note: The volume of a sphere is given by 4(pi)r^3

30. ## science

patrick and spongebob love to blow bubbles! patrick found some super bubble soap a sail-mart. the ads claim that supere bubble soap will produce bubbles that are twice as as bubbles made with regular bubble soap. patrick and spongebob made up two samples

31. ## Science

Patrick and Spongebob love to blow bubbles! The ads claim that Super Bubble soap will produce bubbles that are twice as big as regular bubble solution. Sample is made with 5 oz of Super Bubble soap and 5 oz of water, while the other is made with the same

light travelling in air is incident on a soap bubble. If the path difference through the soap bubble is 2.5λ: a) constructive interference will occur b) destructive interference will occur c) partial interference will occur d) none of the above Would the

33. ## Chemistry

A scuba diver creates a spherical bubble with a radius of 4.0cm at a depth of 30.0m where the total pressure (including atmospheric pressure) is 4.00 atm. What is the radius of the bubble when it reaches the surface of the water? (Assume atmospheric

34. ## Intro to Physics

An air bubble has a volume of 1.65 cm3 when it is released by a submarine 105 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume the temperature and the number of air molecules in the bubble remain constant

35. ## PHYSICS

An air bubble has a volume of 1.65 cm3 when it is released by a submarine 105 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume the temperature and the number of air molecules in the bubble remain constant

36. ## Physics

Consider an air-bubble level that is sitting on a horizontal surface. Initially, the air bubble is in the middle of the horizontal glass tube. (a) If the level is pushed and a force is applied to accelerate it, which way would the bubble move? Which way

37. ## calculus

Air is being pumped into a spherical balloon so that its volume increases at a rate of 80cm^3/s. How fast is the surface area of the balloon increasing when its radius is 7cm?

38. ## Calculus

A tumor is assumed to be roughly spherical. If the radius R is found to be increasing at the rate of 0.5 mm/day when the radius is R=2 mm, how fast is the volume changing at this time?

39. ## physics

Small, slowly moving spherical particles experience a drag force given by Stokes’ law: where r is the radius of the particle, is its speed, and η is the coefficient of viscosity of the fluid medium. (a) Estimate the terminal speed of a spherical

40. ## Differential equation

A spherical balloon remains spherical as it is slowly inflated. The radius of the balloon r (in cm) at time t (in seconds) satisfies the differential equation. Dr/dt = k/r^2 where k is a positive constant. When the radius is 3 cm, the radius is increasing

41. ## Physics

A bubble of air, 0.010 m^3 in volume, is formed at the bottom of a lake which is 30.0 m deep and where the temperature is 8.0 C. The bubble rises to the surface, where the water temperature is 26 C and where the pressure is atmospheric pressure. What is

42. ## Physics

Consider a conducting spherical shell with inner radius b = 0.862 m and outer radius c = 1.21 m. There is a net charge q2 = 3.82 ìC on the shell. At its center, within the hollow cavity, there is a point charge q1 = 2.89 ìC. Determine the flux through

43. ## math

a spherical hailstone is losing mass by melting uniformly over its surface as it falls. At a certain time, its radius is 2 cm and its volume is decreasing at the rate of o.1 cm^3/s. How fast is the radius decreasing at the time?

44. ## math

a spherical balloon with radius r inches has volume V9r) =(4/3)πr^3. Find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r+1 inches

45. ## math

A spherical balloon with radius r inches has volume V (r) = 4 3  r3 . Find the function f(r) that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 2 inches.

46. ## Calculus- Can you help me solve for dr/dt

How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dv/dt , the change in volume with respect to time, which is 15 cubic centimeters per second. The rate we

47. ## physics

A small boy blows a big soap bullet at a birthday party where the room is illuminated with yellow light of wavelength 600 nm. a) What is the colour of the soap bubble? Give reasons for your answer. b) Estimate the thickness of the soap bubble. [Refractive

48. ## Physics

A charge of 1nC is added to a spherical soap bubble with a radius of 3.0cm. What is the electric field strength just outside of the bubble? What is the electric field strength just inside of the bubble? The field experienced by each charge in the skin of

49. ## dpis

The rate of change of radius of a spherical air bubble is 0.002 cm/s. What is the rate of change of its surface area when its radius is 2 cm?

50. ## 4 CALCULUS study problem

1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time, which is 15 cubic centimeters per second. The rate

51. ## calc

im so confused :( Willie Makit blows up a spherical balloon. He recalls that the volume is V=4/3Pi*r^3. In order for the radius to increase at 2cm/sec, how fast must Willie blow air into the balloon when the radius is 3 cm?

52. ## physics

light travelling in air is incident on a soap bubble. If the path difference through the soap bubble is 2.5λ: a) constructive interference will occur b) destructive interference will occur c) partial interference will occur d) none of the above Would the

53. ## physics

light travelling in air is incident on a soap bubble. If the path difference through the soap bubble is 2.5λ: a) constructive interference will occur b) destructive interference will occur c) partial interference will occur d) none of the above

54. ## physics

light travelling in air is incident on a soap bubble. If the path difference through the soap bubble is 2.5λ: a) constructive interference will occur b) destructive interference will occur c) partial interference will occur d) none of the above

55. ## fluid mechanics

Submarine Explosion ----------------------------- A large mass of incompressible, inviscid fluid contains a spherical bubble obeying Boyle's Law: p V = constant At great distances from the bubble, the pressure is zero. Neglecting body forces, show that the

56. ## Chem

A scuba diver creates a spherical bubble with a radius of 4.0 at a depth of 30.0 where the total pressure (including atmospheric pressure) is 4.00 . What is the radius of the bubble when it reaches the surface of the water? (Assume atmospheric pressure to

57. ## Physics

A soap bubble is given negative charge, what will happen it the radius and why?

58. ## Calculus I

A spherical balloon is inflated at a rate of 10 cm^3/min. How fast does the radius change when the radius is 20 cm? Need help with set up and work through of problem.

59. ## math

A spherical ball is being filled with air. When the radius r=7cm, the radius is increasing at a rate 2 cm/s. How fast is the volume changing at this time (leave your answer approximate)?

60. ## Calculus

A spherical ball is being filled with air. When the radius r=9cm, the radius is increasing at a rate 4 cm/s. How fast is the volume changing at this time (leave your answer approximate)?

61. ## Calculus

t: 0 2 5 7 11 12 r'(t): 5.7 4.0 2.0 1.2 0.6 0.5 The volume of a spherical hot air balloon expands as the air inside the balloon is heated. The radius of the balloon in feet is modeled by a twice-differentiable function of r of time t, where t is measured

62. ## math

Bubble wrap sells in sheets, and each sheet has 1 million individual spherical bubbles, each with a diameter of 0.01 m. What is the total volume of air contained in the bubbles of two sheets of bubble wrap? Round to the nearest tenth.

63. ## geometry

Bubble wrap sells in sheets, and each sheet has 1 million individual spherical bubbles, each with a diameter of 0.01 m. What is the total volume of air contained in the bubbles of two sheets of bubble wrap? Round to the nearest tenth.

64. ## chemistry

At 9.20 cm cubed air bubble forms in a deep late at a depth where the temperature and pressure are 6 degress Celcius and 4.50 atm, respectively. Assuming that the amount of air in the bubble has not changed, calculate its new volume at STP. Use the

65. ## calculus

is my answer to this question correct A spherical balloon is losing air at the rate of 2 cubic inches per minute. How fast is the radius of the ballon shrinking when the radius is 8 inches. Answer= .0024

66. ## science

I need to know at least 5 control variables for the following questions. 1.Which tennis shoe, Nike or New Balance, will help me improve the time it takes me to run the 100-meter dash? 2. Does Bazooka or Double Bubble gum blow a bigger bubble?

67. ## calculus

A spherical balloon is leaking air at 2 cubic inches per hour. How fast is the balloon's radius changing when the radius is 2 inches.

68. ## Calculus- Related rates

A spherical balloon is inflated at the rate of 1 cm^3 per minuter. At the instant when the radius r=1.5, (a.) how fast is the radius increasing? (b.) how fast is the surface area increasing?

69. ## Calculus

Air is being pumped into a spherical balloon and the volume is increasing at the rate of 100 cubic cm per minute. How fast is the radius of the balloon increasing when the radius is 10 cm? (V=4/3 times pie times r^3)

70. ## calculus

Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 cubic centimeters per second. How fast is the surface area of the balloon increasing when its radius is 8 cm?

71. ## Physics

An air bubble of volume 15 cc is formed at a depth of 50 m in a lake. If the temperature of the bubble while rising remains constant then what will be the volume of the bubble at the surface?(Given: g=10 m/s2 & atm. pressure = 1.0 * 100000 Pa)

72. ## math

Air is pumped into a spherical balloon at the rate of 20cm^3/s^-1.find the rate of change of radius of the balloon when the radius is 6cm

73. ## calc rates

Air is being pumped into a spherical balloon so that its volume increases at a rate of 50cm3/s. How fast is the surface area of the balloon increasing when its radius is 11cm? Recall that a ball of radius r has volume V=43πr3 and surface area S=4πr2.

74. ## Calc

Air is being pumped into a spherical balloon so that its volume increases at a rate of 90{cm}^3/s. How fast is the surface area of the balloon increasing when its radius is 7{cm}? Recall that a ball of radius r has volume \displaystyle V={4}/{3}pie r^3 and

75. ## Calculus

Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 cm^3 per second. How fast is the surface area of the balloon increasing when its radius is 9cm? * ball of radius r has volume V=(4/3)pi r^3 and surface area S=4pir^2

76. ## Music

How are the sounds turned into notes? A) By increasing the amount of air blown into the blow hole B) By decreasing the amount of air blown into the blow hole C) By changing the position of the mouth on the blow hole. D)By pressing the keys My answer is D

77. ## College Chemistry

When determining the vapor pressure of water, the bubble volume is 1.2mL at 5 degrees celsius. -How many moles of dry air were in the bubble? (assume 1 atm) -If the bubble volume is 8.6mL at 75 degrees celsius, what is the partial pressure of the dry air

78. ## College Chemistry

When determining the vapor pressure of water, the bubble volume is 1.2mL at 5 degrees celsius. -How many moles of dry air were in the bubble? (assume 1 atm) -If the bubble volume is 8.6mL at 75 degrees celsius, what is the partial pressure of the dry air

79. ## College Chemistry

When determining the vapor pressure of water, the bubble volume is 1.2mL at 5 degrees celsius. -How many moles of dry air were in the bubble? (assume 1 atm) -If the bubble volume is 8.6mL at 75 degrees celsius, what is the partial pressure of the dry air

80. ## calculus

A spherical balloon , initially inflated to a volume of over 30000 cubic meters, springs a leak which causes the radius to decrease at a rate of 2 meters per minute. At the instant when the radius is 3 meters , how fast ( in cubic meters per minute ) is

81. ## physics/chemistry

how does one calculate the work done by a spherical bubble with radius r in a liquid with a surface tension of T. I understand for a cavity it is 8pi(r)T, would you just double it to get 16pi(r)T because there are 2 films? here's the

82. ## Calculus

A spherical party balloon is being inflated with helium pumped in at a rate of 12 cubic feet per minute. How fast is the radius growing at the instant when the radius has reached 1 ft?

83. ## physics

Small, slowly moving spherical particles experience a drag force given by Stokes’ law: where r is the radius of the particle, is its speed, and η is the coefficient of viscosity of the fluid medium. (a) Estimate the terminal speed of a spherical

84. ## Physics

Small, slowly moving spherical particles experience a drag force given by Stokes’ law: where r is the radius of the particle, is its speed, and ç is the coefficient of viscosity of the fluid medium. (a) Estimate the terminal speed of a spherical

85. ## math

a spherical ballon is inflated with gas at the rate 20cm^3 min. how fast is the radius of the ballon changing at the instant when the radius is 2cm

86. ## Chemistry

An air thermometer can be constructed by using a glass bubble attached to a piece of small-diamter glass tubing. The tubing contains a small amount of colored water that rises when the temperature increases and the trapped air expands. You want a 0.20 cm3

87. ## Physics

You heat up a 3.0 kg aluminum pot with 1.5 kg of water from 5 to 90 degrees C. the specific heat capacity of aluminum is 900J/kgK. ? (a) how much energy did it take to heat the pot of water? (b) the diameter of the cylindrical pot is 20cm and the height of

88. ## Physics

On a beautiful baseball day with air temperature of 200 C, a pitcher throws a 0.142 kg baseball at 51 m/s towards home plate. As it travels 19.4 m, the ball slows down to a speed of 36 m/s because of air resistance. Calculate the change in the temperature

89. ## Physics

On a beautiful baseball day with air temperature of 200 C, a pitcher throws a 0.142 kg baseball at 49 m/s towards home plate. As it travels 19.4 m, the ball slows down to a speed of 36 m/s because of air resistance. Calculate the change in the temperature

90. ## AP Physics B

A soap bubble of index of refraction 1.43 strongly reflects both the red and the green components of white light. What minimum film thickness allows this to happen? (In air,the wavelength of red light is 703 nm, of green light 502.143 nm.) Answer in units

91. ## physics

he question is: A spherical capacitor contains a solid spherical conductor of radius 0.5mm with a charge of 7.4 micro coulombs, surrounded by a dielectric material with er = 1.8 out to a radius of 1.2mm, then an outer spherical non-conducting shell, with

92. ## Physics

Any help appreciated! Pull out a blank piece of paper from your exam book. Hold it from one of its ends and blow air horizontally over the top of the paper as shown in the figure below. If you blow hard enough you will see the paper rise to become almost

93. ## Calculus Homework

You are blowing air into a spherical balloon at a rate of 7 cubic inches per second. The goal of this problem is to answer the following question: What is the rate of change of the surface area of the balloon at time t= 1 second, given that the balloon has

94. ## Physics

A particle with a charge of -60.0 nC is placed at the center of a nonconducting spherical shell of inner radius 20.0 cm and outer radius 33.0 cm. The spherical shell carries charge with a uniform density of -2.02 µC/m3. A proton moves in a circular orbit

95. ## science, chemistry

Calculate the number of moles inside a soap bubble 1cm in diameter and 1atm pressure at a temperature of 25 degree celcious.

96. ## science

calculate the number of moles inside a soap bubble 1cm in diameter and 1atm pressure at a temperature of 25 degree celsius.

97. ## Calculus

A spherical balloon is inflated with gas at the rate of 20 cubic feet per minute. How fast is the radius of the balloon increasing at the instant the radius is (a) 1 foot and (b) 2 feet?

98. ## Calculus

A spherical balloon with a radius r inches has volume V(r)= 4/3 Pi r^3. Find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r+1 inches. An explanation would be appreciated, as I have no

99. ## math

Example: 1 Gas is escaping from a spherical balloon at the rate of 2 ft3 / min .How fast is the surface area shrinking when the radius is 12 ft ?

100. ## Maths

if a spherical medicine with radius r is broken down in to 1000 spherical small tablets then the css of original spherical medicine will become---- times