A biologist predicted that the population of tadpoles in a pond could be modelled by the function f(x) =0A x+7 where x is given in days and 0sxs 50 . 80 The function that actually models the tadpole population is 8(x) = - (x+7Xx+1) for 0sxs 50. Determine when f(x) > g(x).

Q: Describe how you could use the graph of f(x) = 2x to obtain a decimal approximation for √2.

A:

Q: What is the maximum point on the curve = 2 + 12? − x3

A: Maxima minima problem

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A:

Q: Analyze the graph of f (x) = ln(x2 + 2x + 3).

A: The given function is f(x)=lnx2+2x+3

Q: Consider the following. 1 y = 3 – 3x2 + 8x + 1 Find the relative maxima, relative minima, and points…

A:

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A: Given:- R = 40x2e-0.4x+30 Suppose that the monthly revenue in thousands of dollars, for the sale of…

Q: The critical points of the function f(x)= 3x² -36x+1 are

A: To find critical point lets take first derivative of f(x)  and put f'(x) =0

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Given function, f(x)=4x6-615

Q: examine the function for extreme: 1.   f(x)=x+x+2 2.   y=x3+x2+x+5 maxima and minima

A: # the first function seems to have some error. We are entitled to answer one question. Please…

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Q: Determine all critical points for the function. 5) y = 3x2 - 96x

A:

Q: Describe how you could use the graph of f(x) = 2" to obtain a decimal approximation for V2.

A: y=2x

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: What is the relative maximum value of f(x) = x³ – 3x + 2? -

A:

Q: 4. Using at 7 points, graph the function f(x)=2x

A:

Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

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Q: The us population can be modeled by the function y=165.6x^1.345 where y is in thousands and x is the…

A: The US population is modeled by the function, y=165.6x1.345 where y is in thousands and x is the…

Q: The number of White Sturgeon in thousands can be modeled by f(x) = 170(0.82)*in a particular region,…

A: givenf(x)=170(0.82)x when f(x)=7then7=170(0.82)x(0.82)x=.041taking log on both…

Q: 28)Use the graph to solve a) f(x)0 -fx)

A: To solve the given equation and the inequality , straight from the graph of y=f(x).

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: Find the function P(x) of a company selling x items is given by P(x)=x³+9x²-15x+13 where x…

A: The function P(x) of a company selling x items is Px=x3+9x2-15x+13

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A: We will find what (e-l) (4) means in this situation as following.

Q: Does the function g(x)=2-x  approach a certain real number as the value of x increasing positively?…

A: Given - g(x) = 2-x To find - Does the function g(x) approach a certain real number as the value of x…

Q: 1, Differentiate the function. (7) f(x)= e (8) f(x)= (9) f(x)= Vx+/2x+ V2x (10) f(x)= 81+

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Where does A(x) have a maximum? Explain why that answer is what you should have expected.

A:

Q: The function f(æ) can be approximated by L(x) = 3 – 2(x – 4), near x = 4. What is the value of f'…

A: topic -linear approximation

Q: 4. f(x)= 3x5 + 5x³

A:

Q: Suppose the function below describes a physical situation that makes sense only for numbers between…

A:

Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

A:

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A:

Q: Find the range of the function for the domain {−2,0,4}. Show your work. f(x)=5x2+4

A:

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: Find the value of the maximum or minimum limit of the function ** 8 - 4x2 + 1 f(x) Then write the…

A:

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Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

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A: Consider the provided function.

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A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: 4. Using at 7 points, graph the function f(x)=2x 10-

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A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: what is the maximUM value for the funcion flx)<~x? + 2x+2?

A: Take the derivative of the given function and equate to zero.

Q: Suppose that f(x)=6x^2−2x. Find: a. f'(x)= b.  The slope of the graph of f(x) at x=2 and x=3.…

A: Here we find derivatives and slope of function.

Q: Determine all critical points for the function. y = 4x² - 128 x

A:

Q: Determine the vertex of the function f(x)= lx-1l -1 How do I solve this?

A:

Q: Find the exact location of all the relative and absolute extrema of the function. to largest x.)…

A: Given, the function is g(x) =2x3 – 24x on the interval [-4,4]. We have to find the locations of…

Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

A:

Q: A manufacturer finds that the profit obtained by selling x units of a certain product is given by…

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Q: Do you agree with the statement that  cubic functions must have aleast one  x intercept but no more…

A: According to the given information, it is required to explain the given statements. First it is…