Use a calculator with a yx key or a Λ key to solve: The 1986 explosion at the Chernobyl nuclear power plant in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function f(x) = 1000(0.5) x /30 describes the amount, f(x), in kilograms, of cesium-137 remaining in Chernobyl x years after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl’s atmosphere, the area is considered unsafe for human habitation. Find f(80) and determine if Chernobyl will be safe for human habitation by 2066.

Q: Studies have shown that the number of accidents a driver has varies with the age of the driver, and…

A:

Q: Differentiate the function

A: The given function is shown below:

Q: What is the domain of f(x) = log, (x + 3)?

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Q: Q3: Find The Domain of the Function. y = log(5-x) (x- 2)

A: Given: y=log(5-x)x-2

Q: 1. The function f(x) "2x2 + 10x models the height above the ground, in %3D cm, of a jumping frog…

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Q: . State the domain of g(x) = log3(−7x − 4), using interval notation.

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Q: Why the domain of F(x)=log2x2 is all real numbers except 0?

A: Given,          The domain of Fx=log2x2.

Q: Graph the function g (x) =-1+log, (x-3) and give its domain and range using interval notation.

A:

Q: Find a so that the graph of f(x)= loga x contains the point (1/2, - 4).

A:

Q: Choose the domain of f(x) = log 3 (x + 2).(a) ( - ∞, ∞ ) (b) (2, ∞ ) (c) ( - 2, ∞ ) (d) (0, ∞ )

A: To find the Domain of : f(x)=log3(x+2) Solution: We know, a logarithmic function  is defined for the…

Q: Write the equation of the asymptote for this function: f(x) = log5(x - 2).

A: This is question is about behaviour of functions at infinity

Q: Find the y-intercept of the function f(x)=log5 (1-7x²).

A: On solving ,we get

Q: a2// A Solve for x Logox + Log1ox = 30 B- E Recognize if the functions are even or odd:

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Q: What is g′(x) when g(x)=log 2 (6x3 +3)?

A: The given gunction is,

Q: Find the domain of f(x) = log4(x + 3).

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Q: Find f' (x); 1.) f(x) =34x

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Q: snip

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Q: 4x .x , find f-1 (x). 4. Given f(x)= x+5

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Q: Find the domain of: f(x)=log7(x-8)

A: Consider the function

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Q: Graph the function g (x) = log; (x + 1) and give its domain and range using interval notation ? 图

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Q: The function is y = log4(x – 3) + 5.

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Q: Use the models f(x) = 0.074x + 2.294 and g(x) = 2.577(1.017)x to solve this problem. a. World…

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Q: The function f(x) = 4(2)x models the length of an image in centimeters after it has been enlarged by…

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Q: Find the domain of f(x) = log 5 (16 – 6x – x²) algebraically.

A:

Q: Does solving for F(-x) mean to replace each x with -1? F(-x)= 2x+1           3x-5

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Q: The range of the function y = log7X is %3D

A: Given,          The range of the function y=log7x.

Q: If f(x) = loga x, show that f (1/x) = - f(x).

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Q: Graph f(x) = (1/4)x and g(x) = log1/4x in the same rectangular coordinate system.

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Q: direct

A:

Q: State the domain of f(x)=-log 3(x-2)/3

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Q: Write the domain interval in interval notation. 1. P(x)= log(x2+ 9x + 8) 2. f(x)= log2(x2 - 4)

A: Hi there, at a time we can answer only one question and you was not specified. So, I have answered…

Q: Studies have shown that the number of accidents a driver has varies with the age of the driver, and…

A: The number of serious accidents for drivers of age x during a recent year was approximately is given…

Q: Write the domain interval in interval notation. f(x)= log2(x2 - 4)

A:

Q: Graph the functions in the same rectangular coordinate system. f(x) =* and g(x) = log1/4 x

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.