1. The air in a certain room 150 x 50' x 12' tested 0.2% CO2. Fresh air containing 0.05% CO2 was then admitted by ventilators at the rate of 9000 ft'/min. Find the % of CO, after 20 min.

Q: 3. A plastic of warm water with a temperature of 110°F is placed inside a 0°F freezer. After 20…

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Q: 1. The side of a cube increases at the rate of 23 m/sec. Find the rate at which the volume of the…

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Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

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Q: 31) As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume…

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Q: A tank initially holds 10 gal of fresh water. At t=0, a brine solution containing lb of salt per…

A: We have to find amount and concentration.

Q: 2. A balloon in the shape of a sphere is being inflated at the rate of 100 cm/sec. a. At what rate…

A: a)  Given that the balloon is in the shape of sphere and it is being inflated at the rate of…

Q: 1. A boy is blowing a spherical balloon at a rate of 50 cm /s. At what rate is the radius of the…

A: This question is based on application of derivative.

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Q: A gas in a container has an initial volume of 7L and an unknown temperature. The final temperature…

A: Given,Initial volume of a gas container, V1 = 7LFinal volume of a gas container, V2 = 12LFinal…

Q: A tank contains 1000 liters (L) of a solution consisting of 140 kg of salt dissolved in water. Pure…

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Q: 9. Find the value of JL MA KM = 2x + 10 JL = 5x – 11

A: Consider the isosceles trapezoid JKLM. Recall that the diagonals of an isosceles trapezoid are…

Q: Calculate the pH of a 4.0 × 10 °M aqueous solution of hydroiodic acid (HI). Round your answer to 2…

A: given solution is                                  4.0×10-4M  aqueous solution of hydroiodic…

Q: and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this mom

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Q: 11. If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at…

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Q: Can i get help with this problem step by step

A: The surface area of the cube, S = 6x2 The volume of the cube, V = x3 We have given dS/dt = 72.

Q: A room in a certain factory wanted to improve the CO₂ concentration level which is a high 2500ppm.…

A: The air inside has 2500 ppm of CO2 and volume of 5000 cu.m  Fresh Air has 400 ppm of CO2    Now, let…

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm2/min, find the rate (in…

A: Let the diameter be D cm and radius be r cm  The surface area S of the the sphere in term of…

Q: (A1) A ladder 11 feet long rests againt a certical wall. if the bottom of the ladder slides away…

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Q: 1. A spherical balloon is being inflated so that the volume is increasing at the rate of 5 ft.³ per…

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Q: 1. If the motor on a motorboat is started at t = 0 and the boat consumes gasoline at the rate of 6 –…

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Q: 1. We are inflating a spherical balloon. At what rate is the volume of the balloon changing when the…

A: Since you have asked multiple question (1&2) we will solve the first question for you. . If you…

Q: If a sample of a certain solution is determined to have a H3O"| concentration of 4.73 x 1…

A: We know that PH value of [H3O+] concentration is given by PH= -log([H3O+]) . where [H3O+]…

Q: if a 0.192 g sample of copper metal reacts with elemental sulfur to form 0.240 g of the sulfide…

A: Moles Cu = (0.192 g) / (63.546 g/mol) = 0.00302 Mass of S = 0.240 - 0.192 = 0.0480 g Moles S =…

Q: 1. A conical paper cup 4 inches across the top and 4 inches deep is full of water. Since there is a…

A: We have been given the cone as in the figure  By the given figure we get r = 2 in. and h = 4 in. We…

Q: 12) A vertical cylinder is leaking wader at a rate I ft3% If the cylinder har a height of 10t Sec.…

A: Volume of cylinder = πr2h  r= radius of cylinder  h= height of cylinder

Q: 4. A leaking triangular trough, 5 ft across, 9 ft in length and with a depth of 6 ft, is continually…

A: Given that, the length L= 9 ft, the rate of filling = 17 ft3/min and the rate of leaking = 0.25…

Q: 20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a…

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Q: A ladder is 36 feet long and is leaning against the side of a house. The base is moved away at 2 ft…

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Q: 1.) Water is pouring into a conical vessel 15 cm deep and having a radius of 3.75 cm across the top.…

A: step by step clear explanation is given .Have a look

Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: Topic = Differential equation

Q: 15) The volume of a sphere is increasing at a rate of 6 cm³/sec. Find the rate of change of its 4T…

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Q: 18. A light is on the top of a 4-meter tall pole and a 1.5-meter tall person is walking away from…

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Q: The population of two different species are given by P1 P1 = 3 ln(t) + 10 || and P2. , where t is…

A: The population of two different species are given by P1=3lnt+10 And P2=6lnt+2 Where, t measured in…

Q: Suppose A is directly proportional to t. Explain what happens to t when A is increased by 5%.

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Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: Given: N0= Initial number of bacteria After one hour the number of bacteria is measured to 32N0 Rate…

Q: The air in a small room 12 ft by 8 ft by 8 ft is 5% carbon monoxide. Starting at t = 0, fresh air…

A: Let v(t) be the volume of CO in the room at time t, and let V be the total volume of the room.The…

Q: A tank is shaped like an upside-down square pyramid, with a base with sides that are 4 meters in…

A: We have to find rate of change of  height of pyramid.Information is given below:

Q: 1. The side of a cube increases at the rate of 12 m/sec. Find the rate at which the volume of the…

A: Our guidelines for multiple questions,answer only first question For other answers , Repost this…

Q: 1. The radius of a sphere increases at a rate of 2 m/sec. The rate at which the volume increases…

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Q: There's a tank containing 50 L of a solution into which 10 g of salt is dissolved in. A solution…

A: image is attached

Q: In the Newton's Law of Cooling, at small differences of temperatures between the body and the…

A: Recall:  The rate of loss of heat is directly proportional to the difference in the temperatures…

Q: 2. The volume of a cube decreases at a rate of 10m/sec. Find the rate at which the side of the cube…

A: dVdt=10m3/min, side=2mFormula of volumeV= side3

Q: 4. Water is running out of a conical tank 3 m across the top and 4 m deep at the rate of 2 m3 /min.…

A: given  h = 4 m  (Note: measurement of h is always taken from bottom) r = (3 ÷ 2 ) = 1.5 m dVdt = 2…

Q: A tank initially holds 10 gal of fresh water. At t = 0, a brine solution containing ¼pounds of salt…

A: Given that , Initially fresh water in tank = 10 gal At t=0 , the solution containing 14 pounds of…

Q: 3. The period of free undamped oscillations of a mass on a spring is sec. If the spring constant is…

A: Given: We have to find: Numerical value of weight.

Q: 11. A snowball melts so that its surface area decreases at a rate of 0.5 cm²/min. Find the rate at…

A: Here we use the concept of derivatives.

Q: 1 A 5 m ladder is leaning against a wall of a house. The bottom of the ladder is pulled away from…

A: Let the bottom of the ladder is x meters away from the wall and the top of ladder is at distance y…

Q: 1. The volume of a cube decreases at a rate of 12 m/sec. Find the rate at which the side of the cube…

A: This question is related to application of derivatives.

Q: 1. The radius of a sphere increases at a rate of 2 m/sec. The rate at which the volume increases…

A: This question is based on the application of derivative.