A large mixing tank initially holds 100OL of brine in which 25kg of salt was dissolved.Another brine solution is pumped into the large tank at a rate of 10L per minute; theconcentration of salt in this inflow is c (t) = 0.25 + sin() kg per liter. When thesolution in the tank is well stirred, it is pumped out at the same rate it is entering.A. What is the value of C in four decimal places?Answer:B. What is the amount of salt in the tank after 60 minutes?Answer:kg

Answered: Image /qna-images/answer/82dc2683-a43f-405f-9ac5-92adc321f6f5.jpg

Answered: A large mixing tank initially holds…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A bacteria culture is known to grow at a rate proportional to the amount present. After one hour, 1000 bacteria are observed in the culture; and after four hours, the population increased by 150%. Find an expression for the number of bacteria present in the culture at any time t. Select the correct response: 1000 e0.366t /2.5 P P = Poekt 1000 e0.305t V2.5 P = none of these P = 400V6.25e0.333 ln 2.5t P = 694e0.366t
A nkcschools.instructure.com Near the surface of any planet, the distance D fallen by a rock in time t is given by ct(this is a consequence of Newton's 2nd law of gravitation). Here we will D = measure D in feet and t in seconds. (a) A rock is dropped from two different heights. It takes the rock 5 times as long to hit the ground from the taller height. How do the heights compare? The taller height is times as tall as the other. (b) On Venus, a rock dropped from 70 feet above the surface takes 2.2 seconds to strike the ground. What is the value of c for Venus? Round your answer to 2 decimal places. (c) Another rock is dropped on Venus. How far has it fallen after 4 seconds? Round your answer to 2 decimal places and include an appropriate label.
The base x of the right triangle in the figure increases at a rate of 7 cm/s, while the height remains constant at h = 21 cm. 4 How fast is the angle 0 changing when x = 35? (Use symbolic notation and fractions where needed.) de dt x=35 = rad/s
2. A earthquake is measured with wave amplitude of 1000 times as great as Io. What is the magnitude of this earthquake using Richter scale? A. 2.0 В. 2.5 С. 3.0 D. 3.33
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A cup of coffee is heated in a microwave oven and reaches a temperature of 80C. The coffee cup is removed from the oven and exposed to the environment which is at a temperature of 20C. For all practical purposes Suppose that in the first 10 minutes the The temperature of the coffee cup decreases evenly at the rate of 3C per minute. C=CELICIUS a) Complete the following table; in it the magnitude t is in minutes and the magnitude T must be expressed in C. and increasing the time from minute to minute in the table above. . . What happens to changes in the temperature of the cup of coffee? b) Obtain the formula that expresses the temperature T in terms of time t. c) Draw the graph that corresponds to the relationship between the variables t and T in the following plane:
The period of free undamped oscillations of a mass on a spring is sec. If the spring constant is 20 lb/ft, determine the numerical value of weight?
2. Caffeine is eliminated from the body at a continuous rate of approximately 17% per hour. A standard cup of coffee contains 150mg of caffeine. a) Write a formula for the amount of caffeine C in mg as a function of the number t of hours after drinking a cup of coffee. b) Find the number of hours (to the nearest hour) it makes for half of the caffeine from a cup of coffee to be eliminated from the body. c) Find the number of hours (to the nearest hour) it takes for only 1.5mg of the caffeine from a cup of coffee to remain in the body.
If AABC AZXY mZA 50, and m/C= 30, what is m/X? a 30 100 50 80 O O O O

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