30,000 1 + I+ 20e-1.5t ||

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Q: increasing and decreasing. 5) f(x) = -x² +4 fx) -4 위

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A: Given to use L'Hospital's rule for f(x) and g(x) where: Using L'Hospital's rule and applying…

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Q: The graph of f is shown in the figure.(a) For which values of x is f′(x) zero? Positive? Negative?…

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Q: he average cost function is defined in economics as C¯(x)=C(x)x, where C is the cost of…

A: Given:  C(x)=0.01x3−0.4x2+13x+400,

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A:

Q: itially contained 8000 L of pure water. The resulting concentration of the solution in the tank can…

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Q: A company has found that total sales, in thousands of dollars, are given by the function defined by…

A: Given, Sx=100 log2x+2a Let x = 5 and find S6S6=100 log25+2        =100 log27        =280.74Thus, The…

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

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Q: An open-top box with a square base is to be constructed by taking a 42 by 42 square piece of…

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Q: find the net change in g between x=0 and x=7

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: given S'x=150-x2C'x=x2+114x where S'x is the rate of annual saving and C'x is the rate of annual…

Q: 4. Use the linearization of the function f(x)%= at an appropriate x=a value to approximate 4.002

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

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Q: Q4: A) Car A is travelling west at 60 km/h and car B is travelling north at 1150 m/min. Both are…

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Q: t is a fact that the function  f(x) = x(161/x − 1) has a limiting value. Use a table of values to…

A: We need to find limiting value.

Q: Consider the function f(x) = 5 – 6x?, 4 < x < 2, The absolute maximum value is and this occurs at x…

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Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

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Q: Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars)…

A: P(n) = n(50 - 0.5n) - 100 P(n) = 50n - 0.5n2 - 100 Domain : [ 0,100 ] Now, P'(n) = 50 - n  To Find…

Q: A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of…

A: Given,           A company has found that its expenditure rate per day in hundreds of dollars on a…

Q: Consider the graph of f'(x) = . At what value(s) of x does f(æ) have a local maximum? y4 4. 3 2- -1+…

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Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of…

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Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = 0.002x…

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Q: A major car company analyzes its revenue, Ríz), and costs Cx), in millions of dollars over a…

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Q: Let f(t) measure the level of oxygen in a pond, where f(t) = 1 is the normal (unpolluted) level and…

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Q: Consider the function q(x) = 54x* + 125x. What are the critical points? Select the correct answer…

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Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: Given,  p=-16x+26

Q: 4. Which of the following function has an absolute minimum on (-o, +00)? (a) ƒ(x) = 5 – 3x² (b) f(x)…

A: Given: To identify which function has an absolute minimum on (-∞, +∞) a) f(x)=5-3x2 b) f(x)=x5+3x2…

Q: State the interval(s) over which the function is (a) increasing (b) decreasing (c) constant

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Q: For the function f(x)= x-2ln(x), 1/2 is less than or equal to x which is less than or equal to 8.…

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Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

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Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

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Q: 1. Consider the function f(x)= x5- 5x4+5x3 a. When is ? increasing? When is it decreasing? b. When…

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Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

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Q: On the axis below, sketch the graph of a function, f, which has a critical point at r = 1 4. (.. but…

A: Solved below

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

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Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks…

Q: A manufacture has been selling 1850 television sets a week at $390 each. A market survey indicates…

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Q: A printed poster is to have a total area of 567 square inches with top and bottom margins of 6…

A: Given: In the printed poster is to have a Total area = 567 square inches  The top and bottom margins…

Q: In a certain state, the sales tax T on the amount of taxable goods is 5% of the value of the goods…

A: here T is taxable  value on purchase  x is purchase value and T = 5% given  further calculation…

Q: Find the absolute maximum value of the function. f(x) = 2(x – e*)

A:

Q: a) On what interval(s) is fincreasing? b)On what interval(s) is ƒ decreasing? c) Where does f have a…

A: We want to find the intervals where f is increasing and decreasing. And also the local minimum and…

Q: Consider the following production function; Q(K,L) = 3K²/³1ª/3 The firm uses 125.000 K and employs…

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Q: A time study showed that, on average, the productivity of a worker after t hours on the job can be…

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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.