The number of deaths N per week has been observed to be linearly related to the average concentration x of sulfur dioxide in the air. Suppose there are 97 deaths when x = 100mg/m^3 and 100 deaths when x = 500mg/m^3 a. What is the functional relationship between N and x? b. Use the function in part (a) to find the number of death per week when x = 61mg/m^3. What concentration of sulfur dioxide corresponds to 100 deaths per week?

Q: Suppose 15 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Please refer the attached image for complete solution.

Q: The projected number of senior citizens in the U.S. for the years 1995 through 2030 can be modeled…

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Q: What is the derivative of this graph?

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Q: What is the shape of a graph in application of derivatives?

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Q: Describe the Chain Rule for the composition of two differentiable functions in your own words.

A:

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A:

Q: In the least-squares line  ŷ = 5 − 2x, what is the value of the slope? In the least-squares line ŷ…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

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Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

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Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: Plot the percentage of machines not running as a function of the service factor for a population of…

A:

Q: what are linear functions and their rate of change?

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Q: The slope of the tangent line to the graph of the function y = 9/ – 2 at (4, 16) is - -5.00 2.25…

A: To find the slope of the tangent line for the given function at (4,16)

Q: customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat…

A:

Q: What is the slope of the line tangent to the graph of g(x)=1/x at x=1?

A: Given that ,         g(x)=1x          find slope of tangent at x=1

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A:

Q: Find the equation of a that has a y" = 4 if it has a slope of of 3 Curve Second derivative %3D at…

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Q: In your own words, state the guidelines for implicit differentiation.

A: We have to state the guidelines for implicit differentiation.

Q: the derivative of

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Q: Find the first and second order derivative w=3z7-7z3+21z2

A:

Q: Give information on this application of derivatives:  Optimization

A: Topic:- application of derivatives

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Q: Find the second derivative of y = -5 %3D -

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Q: Select all the tables in which the y-value changes at a constant rate per x-interval.

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Q: 5z²)* 4/3 %3D

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Q: Draw the graph with the first derivative

A: Draw the graph with the first derivative

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Q: What is the derivative of y=(1-x-1)-1  Please show steps. Thanks.

A:

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

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Q: State the second-derivative test for functions of two variables.

A: State the second - derivative test for functions of two variable.

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Q: Compute for the derivative of 3 y = х |

A:

Q: Suppose 19 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A:

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

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Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

A:

Q: Calculate the second and the third derivative of y = 5x- 9 y": y"

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Q: Find the derivative of the function at Po in the direction of A. txу) - - ху + у, Р,(10, - 2),…

A:

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.