There is a relationship between perceived corruption and human development in a country that can be modeled by H(x) = 0.3 + 0.28 In x. In this formula, x represents the Corruption Perception Index, where 1 is very corrupt and 10 least corrupt. The output gives the Human Development Index, which is between 0.1 and 1 with 1 being the best for human development.

Q: Since the development of the iPod, the stock price of Apple has been growing rapidly and has been…

A: Given the development of the iPod that includes the stock price of Apple in which it grows rapidly…

Q: Consider the following scenario: The rate of increase in the number of p who have committed drug…

A:

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A:

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: Calculate y e-(x-3)-

A: Given,            y=e-x-3-x

Q: Estimate the average rate of change for the graph above from x=1x=1 to x=4

A:

Q: Find the average rate of change of h (x)=-2x +4x from x=-2 to x=2. Simplify your answer as much as…

A:

Q: Find the average rate of change of g (x)=x-4x+1 from x 2 to x 6. Simplify your answer as much as…

A: Given data: The given function is g(x)=x2-4x+1. The lower limit of x is a=2. The upper limit of x is…

Q: Find the average rate of change of g(x)= -3x^3 +4 from x=-2 to x=3

A:

Q: Explain the method of fitting of an exponential curves of the form (i)Y = abX and (ii) Y = aebx to…

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Q: What is the derivative of y = (-3x²-x+4)e5 ANSE

A:

Q: Find the second derivative of f(x) = (5+7x)e5". f" (x)

A: Topic :- Differentiation

Q: The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption…

A:

Q: Find the average rate of change of g (x)=-2x- 3x from x=-2 to x=3. Simplify your answer as much as…

A: The given function is gx=-2x2-3x and the given points are x=-2 and x=3. When the value of x=-2, the…

Q: solve the derivative f(x) = e^3x / 1-x^3

A:

Q: Find the derivative of f(x) = e-2 / x^2

A: Consider the function fx=e-2x2 Here, the objective is to find the derivative of the function.

Q: What is the first derivative of p(x)=3^(x^5)?

A:

Q: 3.Divers swimming at 7 meters below the surface found that the light level was 83% that of the…

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Q: Find the average rate of change of g(x) : - 5x³ – 1 from x 3 - 1 to x = 4.

A: Recall: Average Rate of change of function f(x) from x=a to x=b is f(b)-f(a)b-a.

Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A: We are given that: The radioactive element decays at rate 5% annually and there are 40 g substance…

Q: Find the first derivative of y = (e³x)(3x² – 7)

A: This question is related to differentiation, We will solve it using given information.

Q: Find the derivative of f(x) = log3 5x2 +1

A: Find the derivative of fx=log35x2+1

Q: Find the second derivative of the function. f(x) = e-x3/3

A: Given:fx=e-x33Differentiation formula:ddxex=ex.1

Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5/9x² –…

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Q: What is the fourth derivative? x^12+1

A:

Q: Find the third derivative of the function y=e2xlnx.

A:

Q: In 1991 it was estimated that there were about 100 breeding pairs of Northern Spotted Owls. It was…

A: Topic: population decline

Q: e2x F(x)

A: We will solve by this formula

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: 3. =メー1 x+1 デー

A:

Q: A research was done to study the effect of ambient temperature, x, on the electric power consumed,…

A: Solution

Q: A pharmacologist studying a drug that has been developed to lower blood pressure determines…

A:

Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

A: Given:

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A:

Q: The accompanying table shows the number of bacteria present in a certain culture over a 4 hour…

A: From given data, X Y X*Y X*X 0 90 0 0 1 103 103 1 2 109 218 4 3 129 387 9 4 141 564 16…

Q: The total expenditures (in millions) of current dollars for pollution abatement and control during…

A: Here we find the total expenditure.

Q: Find the average rate of change of g (x) = 3x – 2x from x=3 to x=7. Simplify your answer as much as…

A:

Q: The monthly output of a certain product isQ(x) = 2400x5/2where x is the capital investment in…

A: The monthly output of a certain product is Q(x) = 2,400x5/2, where x is the capital investment in…

Q: 33. Solve for the second-order derivative of the function below. Y = x 3x3 За

A: Differentiate two times wrt x

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: In a particular very small region, the consumer price index, C, depends on the current value of…

Q: The estimated Philippine population is 90 million in 2010 and the estimated growth rate was  2.4 %…

A:

Q: The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption…

A: average blood alcohol concentration is given byC(t)=0.00225te-0.0467twhere t is in minutes and C is…

Q: Find the average rate of change of g(x) 2x + 6 between x = 1 and x = 4 -

A:

Q: What is the derivative of f(x)= e2x/ (3x+1)2

A: Given Function,fx = e2x3x+12

Q: There is a relationship between perceived corruption and human development in a country that can be…

A: Given  H(x)=0.3+0.28 In x                 where H(x) is Human development index…

Q: Given the function g(x)=x² −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will…

A:

Q: he differential to approximate the change in average cost per racket if production is (A) increased…

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.