Botany. If it is known from past experiments that the height (in feet) of a certain plant after t months is given approximately by H(t) = 4t^1/2 - t 0,<= t <= 1 Then how long, on average, will it take a plant to reach its maximun height? What is the maximum height?

Q: 7) A rectangle has its two lower corners on the x-axis and its two upper corners on the curve…

A: Follow the procedure given below.

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A: Follow the procedure given below.

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A: fx=x+3

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A: Given y=2x2-4x+2

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A:

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A:

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A: Homogeneity Principle : Principle of Homogeneity states that dimensions of each of the terms of a…

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A:

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A:

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A:

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A: To obtain the required polynomial equation, use the following Newton's divided difference…

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A:

Q: order

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A: Demography

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A:

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A: Given that  A colony of rats is transplanted into an island environment by stowing away on a…

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A:

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A:

Q: Use (a) bisection method and (b) false position method to find the solution to the following within…

A: Bisection method: It is a root finding technique for a real valued function by repeatedly dividing…

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A: Given : y = ax2 + bx + c  where, a = {-1,1,2}, b = {0,4}, c = {0, -1}

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A:

Q: very

A:

Q: An articlet in The New York Times states, "The number of gas stations [in a city] grows only in…

A: We will use the given relation between population and gas station.

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A:

Q: If $4000 is invested at 7.3% compounded​ continuously, graph the amount in the account as a function…

A: Given $4000 is invested at 7.3% compounded​ continuously. To graph the amount in the account as a…

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A: Maxima and minima of a real-valued function is a very important application of differentiation. At…

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A:

Q: Find a quadratic function with a root at X 5i that also includes the point (2, 14).

A:

Q: Suppose an initial population of 33 million people increases at a continuous percent rate of 1.6%…

A: Given  Initial population = 33 million  rate =1.6% Increases continuously

Q: 1. Find two non-negative numbers whose sum is 12 such that their product is an absolute maximum.

A: Let x and y are two non-negative numbers. We have to find maximum of the function Fx,y=xy It is…

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A:

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A:

Q: In an economic enterprise, the total amount T that is produced is a function of the amount n of a…

A: (a) The graph of the function is as follows: (b) Here, T(1.02)=-2(1.02)3+3(1.02)2+1.02…

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A: Please refer to the image below

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A: At maxima or minima of a function f(x), f'(x)=0

Q: 8. Determine a quadratic function f(x) = ax² + bx + c if its graph passes through the point (2,22)…

A:

Q: data point at x1= 1, x2=4, x3=6 and x4=5 were used to estimate ln 2 with a third-order newtons…

A: As we can see given points are not equidistant so for finding ln 2 we will use Newton's divided…

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A: Equation that formulates the growth is as follows. Pt=P0ektPt is the population after t minutesP0 is…

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A:

Q: 311. When you find the maximum for an optimization problem, why do you need to check the sign of the…

A:

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A:

Q: or equal to 0). Find the minimum possible value of X346.

A: here given mean of 345 quantities is 5.9

Q: A money market fund has a continuous flow of money at a rate of f(x)=1500x-170x2 for 10 years. Find…

A:

Q: Calculate one of the roots of the equation f(x) = x ^ 3 + x ^ 2 - 2x - 4 = 0 with an error less than…

A: Solution is provided below