f R denotes the reaction of the body to some stimulus of strength x, the \ sensitivity S is defined to be the rate of change of the reaction with respect to x. A particular example is that when the brightness x of a light source is increased, the eye reacts by decreasing the area RR of the pupil. The experimental formula R=37+21x4/1+0.3x4 can be used to model the dependence of R on x when R is measured in square millimeters and x is measured in appropriate units of brightness.

Q: 14. Lét A be the matrix 1 2 3 4 A = 6. 8. 9 10 11 12 and let T: R4 → R³ be the linear transformation…

A: The solution is given as

Q: Let f = e^ (− x ^3/ 3) +x−y^ 2 . Find the local minima, maxima and saddle points.

A:

Q: Use linear approximation to approximate √64.4 √64.4

A: Approximate the √64.4

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A: The Body Mass Index (BMI) is a measure that uses your weight and height to calculate a weight score.…

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A: The formula to find average temperature is  Ta=1b-a∫abT(t)ddt Here b=12 and a=0

Q: The given piecewise function is used in the following 2 questions. 4-x -4 < x < 3 f(x) = { V %3D…

A:

Q: What is the First Derivative Test for Local Extreme Values? Give examples of how it is applied.

A:

Q: 4. Use the graph to determine: (a) the average rate of change between x = 2 and _x = 6 (b) the…

A:

Q: J(2,5) has been dilated to J'(3,7.5). What scale factor was used in this dilation?

A: scale factor =x'x or =y'y

Q: The regression equation between age (x) in years and weight (y) in kg's is given as Y^ = 0.63 +…

A: Answer: Given that, The regression equation between age (x) in years and weight (y) in kg  is Y⏜ =…

Q: What is mean residual of life function and what is purpose of finding?

A: In life testing situations, the additional lifetime given that a component has survived until time t…

Q: Suppose the cost of producing q leather smartphone cases can be found with the function…

A: Consider the provided function, Cq=100+2q-0.01q2 We need to find the average rate of change of this…

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A: we have to explain that how to find the maximum and minimum values by the help of the given…

Q: Explain the three techniques that are used frequently to Use Approximations to Estimate Reversion…

A: Approximations: Approximation is a estimated value or estimation of a number or rounding a number to…

Q: When dilating G(2, -2) by a scale factor of 2, what will G' be?

A:

Q: What are finite differences, and how are they used to estimating derivatives of gridded data

A: It is given that Finite differences

Q: Given r^2=0.9316, SST=60.55   Compute: SSR= SSE=

A:

Q: Compute the average rate of change of f from x1 to x2. Interpret your result graphically.…

A:

Q: For a surge function y = te^(−bt), how does the value of b affect the graph?

A: For a surge function y = te−bt, how does the value of b affect the graph? Ans; y=te-btdydt=te-bt…

Q: A bug got into my graphing software and it is crawling around on a graph of y=x^4, in the first…

A:

Q: Explain why the Second Derivative Test is often mistaken for the POI Test. In what way(s) are they…

A: We know the following. POI Test: An inflection point is a point on the graph at which the second…

Exponential Growth Model

The relation that represents an exponential function is: