A virus is believed to be spreading through a sheep farm according to that equation N = 450 (1/1+249e-0.1t  )where N is the number of sheep infected and t is the number of days. (i) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 , 50, 70, 100 days)

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A: The solution is given below in detailed

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A:

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A:

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Q: 6. Substitute that time into either x equation to determine where the tackle will occur. 7. Who wins…

A: 6 Now, t=3 sec First we will enter this equation into  x=32-12tx=32-123x=32-36x=-4  Now, enter this…

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A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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A:

Q: 2. In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Solution is given below:

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A:

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A: Given that

Q: A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is…

A:

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A:

Q: Suppose the quantity demanded weekly of the Super Titan radial tires is related to its unit price by…

A: Rate of change of x

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A:

Q: A population of yeast cells can double in 6 hours. Assume an initial population of 4,000 cells.Write…

A:

Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

A:

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

A: Given, A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is…

Q: A swimming pool is nearly​ empty, holding only 5100 gallons of water. A system is set up so that the…

A:

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A: For a function: y=f(t), the dependent variable is y and the independent variable is t. The value of…

Q: 21. Eliminate the arbitrary constant in the equation

A:

Q: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A: solution is given below .

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A:

Q: Solve for x: 200(1.14)* = 3, 410 x = Give an exact answer, or a decimal approximation accurate to at…

A: We need to find x.

Q: A swimming pool is nearly​ empty, holding only 5100 gallons of water. A system is set up so that…

A: The number of gallons p in the pool after x hours can be written as: p(x)=5100×1.17x Take the…

Q: Suppose that a person learns y items in x hours, as given by y = 40/x, 0sxs4. Find the rate of…

A: Let y represent items and x represent hours Given y=40x To find rate of learning at the end of 1…

Q: Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x2 + 356.467x +…

A:

Q: The number N Iinsects in culture grew at a rate proportional to N. The value of N was initially 100…

A:

Q: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A: Solution : It is given that a 10 meters long ladder is leaning against a wall. And the bottom of…

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A: Topic:- exponential function

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

Q: 5) When a cake is removed from an oven, its temperature is measured at 300°F. Three minutes later…

A: Q5) how long will it take for the cake to cool off to 80F

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A: We have to find the differential equation for the population growth.

Q: A certain radioactive material is known to decay at a rate proportional to the square root of the…

A: We will find out the required solution.

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A:

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given that Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to…

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A:

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A: We know that the Third Equation of motion is    → v2 = u2 + 2as    ;     Where v = final velocity…

Q: During a research experiment, it was found that the number of bacteria in a culture grew at a rate…

A:

Q: Acar traveling 25 m/s begins to decelerate at a constant rate of 4 m/s2. After how many seconds does…

A:

Q: The number N Iinsects in culture grew at a rate proportional to N.The value of N was initially 100…

A:

Q: As dry air moves upward, it expands and, in so doing, cools at a rate of about 1o C for each…

A:

Q: |The amount A(t) of atmospheric pollutants in a certain mountain valley grows naturally and is…

A: Write the naturally growing equation as exponential function A(t). At t = 0, let A (t) be Ao and at…

Q: A tank with a capacity of 300 litres initially contains 150 liters of pure water. Brine contains 3gm…

A: Solve the question 1 Capacity of tank=300litres Amount of pure water in tank initially=150litres…

Q: A6 foot tall man is walking at a rate of 40 metres per mimite directly away from a wall with a toong…

A: Given query is to find the rate of change of height of the shadow.

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A: Topic = application of derivative

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Q: (3) When food stuff is removed form an oven, its temperature is measured as 200 F, 20 Minutes later…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.