y is a linear function of x with slope −4. If y is −3 when x is −1, what is y when x is 8? You do NOT need to find the linear relationship between x and y to answer this question.

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A: The graph is given by:   Figure:1

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Q: Suppose that f is a linear function with slope -4 and that f(1) = 7. Find the equation for f. (Use x…

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Q: For the graph of the linear function f(x) = mx + b, m is the  _____ and b is the _______ .

A: For the graph of the linear function fx=mx+b, m is the  _____ and b is the _____.

Q: The average rate of change of the linear function f(x) =3x +5 between any two points is_________ .

A: Given that: The linear function f(x) = 3x + 5.

Q: 8. For the graph of the linear function H(z) = -4z + 3, the slope is %3D and the y-intercept is

A: Consider the given equation as Hz=-4z+3

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A:

Q: Find the zero of the linear function  f(x)= x+4

A: fx=x+4

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A:

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Q: Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

A: Given that Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

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A:

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A:

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A: Hi

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Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

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A: Given,  f(x)=2 cos(3x)

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

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Q: Find the linear function with the following properties. f(−5)=−1 Slope of f=−4

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A: Write liner equation by taking variable parameter.

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.