1. The flow rate of the feed to the reactor in a chemical production plant is given by the equation: прr F 8nl If r and l both increase by 5% and p and ŋ decrease by 10% and 30% respectively, find the approximate percentage change in F.

Q: √t 12. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the…

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Q: Suppose that w varies directly as x and the square of y and inversely as the square oot of z. If x…

A: Given query is to find percentage increase in w when indicated percentage increase happened in…

Q: If a substance decomposes at a rate proportional to the amount of the substance present, and the…

A: This question is based on application of diffrential equation.

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A: In this question, c is independent variable where as b is dependent variable. Given, b is directly…

Q: 29. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the √t…

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Q: 1. a) Consider a cylinder with a radius of 5cm and a height of 12 cm. Find the change in the volume…

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Q: If x  is inversly proportional to the cube of T and X=54, when T=3, find An equation for T interms…

A: X= K/T^3 Is the equation

Q: Suppose that the profit (In dollars) from the sale of Kisses and Kreams is given by P(x, y) = 15x +…

A: Sale of Kisses Kreams is given by P(x, y)=15x+6.5y-0.004x2-0.015y2 where, x is the number of pounds…

Q: If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) =…

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Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

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Q: b. A thermistor is being used to measure temperature. For a given resistance Rthe temperature is…

A: The temperature, T for a resistance R is given by, T=1T0+1βlnRR0−1

Q: (b) Use the given formulas for the volume and area (displayed above the diagram) to rewrite the…

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Q: Q4/ If z = Vx² – y² and x increasing at 3.5 m/s, determine at what rate y must change in order that…

A: In the question it is asked to determine at what rate y must change so that z shall neither increase…

Q: When the annual rate of inflation averages 5% over the next 10 years, the approximate cost C of…

A: Consider the approximation cost of goods. Ct=p1.05t Rate of change of C=dCdt. So, Differentiate the…

Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. If…

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Q: .  If y is inversely proportional to x, and if y = 16 when x = 5, find the constant of variation

A: Given: y is inversely proportional to x y=16 when x= To find the constant of variation

Q: Suppose x and y are functions of third variable t. In the equation x2+y²=45, what are the values of…

A: This question is related to application of derivatives.

Q: 4. A beach ball is deflating at a constant rate of 10 cubic centimeters per second. When the volume…

A: NOTE: You have posted multiple questions we have given answer to the first question if there is a…

Q: Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a…

A: Assume that the ship loses power when it is moving at a m speed of 8 m/s. a. We have to find about…

Q: The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a…

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Q: 15 Suppose that y is directly proportional to x. When x = 8, y = 4. Find y when x = 30. %3D

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Q: The rate at which a ceratin disease spreads is proportional to the product of the percentage of the…

A: We have to find the rate R(t) at which disease spreads Constant of  Proportionality = 0.03 Percent…

Q: 2. Suppose that a volcano is erupting. Readings of the rate r(t) at which solid mate- rials are…

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Q: A person's Body Mass Index is I = ", where W is the body weight (in kilograms) and H is the body…

A: Given Body mass Index   I=WH2

Q: 12. If a substance decomposes at a rate proportional to the amount of the substance present, and the…

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Q: proportional

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Q: A swimming pool with a rectangular surface 21.0 m long and 15.0 m wide is being filed at the rate of…

A: To calculate the rate of changing of height when the depth of the water at the deep end is 0.8m

Q: If the rate of change of Q is inversely proportional to Q (where Q > 0), and if Q(0) = 250 and Q(2)…

A: Given rate of change of Q is inversely proportional to Q. We need to find the proportionality…

Q: The relationship between food expenditure of 25 households (y) and their total expenditures (x) is…

A: Given: ln Y^=2.24+0.364 ln Xr2=0.886

Q: Suppose that D = √x² + y² is the length of the diagonal of a rectangle whose sides have lengths x…

A: To find the formula for the rate of change of D with respect to x, differentiate D=x2+y2, using the…

Q: Suppose that an lowa class battleship has mass around 54,000 metric tons (54,000,000 kg) and a…

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Q: 1. Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In this…

A: Consider the given information. As, The car is drive on a perfectly flat road at a constant speed…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present.…

A: Let,Decay rate = r = -dAdt                        negative because it's decaying/decreasingwhere, r…

Q: If a substance decomposes at a rate proportional to the amount of the substance present, and the…

A:

Q: The rate of change of x is proportional to x. When t = 0, x0 = 3 and when t= 2, x = 6. What is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per…

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Q: Suppose that z varies jointly with x and y. Find the constant of proportionality k if z = 468 when…

A: a) Find the constant of proportionality k if z = 468 when y = 10 and x = 18. z=k*x*y 468=k*10*18…

Q: 8. The table below gives the values of distance traveled by a car at various times from a tollgate…

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Q: 6. Train E travels west toward Chicago station at 120 miles per hour while a second train N travels…

A: Train E =120 miles per hour  Train N=90 miles per hour

Q: Please answer the attached question. Thanks a lot

A: Given that the volume V is inversely proportional to the pressure P on the gas.The mathematical…

Q: Given that height of the water in a tank is increasing at a constant rate of 3.7 cm/min, use the…

A: Rate of increasing height of the water in a tank= 3.7 cm/min, Time (in min) Height of water (in…

Q: Suppose a and y are related by a constant rate of change Ay and = 2, and y 4 when x = 3. Ax

A: Suppose x and y are related to the constant rate of change and ∆y∆x=2and y = 4 when x= 3

Q: 2. A rectangular water tank is being filled at the constant rate of 35lt/s. The base of the tank has…

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Q: 3) An empty can of room freshener that has a volume of 350 mL, contains gas at a pressure of 360 kPa…

A: I am attaching image so that you understand each and every step.

Q: In the DE: Ans:[a) 0.10 percent, b) 3.47 min]. 1. a.) Find the percentage of  Carbon dioxide in the…

A: Please check step 2 and 3 for the solution.!

Q: Suppose that the profit (in dollars) from the sale of Kisses and Kreams is given by P(x, y) = 10x +…

A: Px,y=10x+6.2y-0.008x2-0.02y2

Q: 12. If a substance decomposes at a rate proportional to the amount of the substance present, and the…

A:

Q: 1. The flow rate of the feed to the reactor in a chemical production plant is given by the equation:…

A: Consider F=πpr48ηlGiven: ∂rr=0.05              ∂ll=0.05              ∂pp=-0.10…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: Suppose the flow rate (in cubic feet per second, cfs) of a river in the first 11 hours after the…

A: We have given the flow rate of a river as a function

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: