Graph: r(x)= { ½x−1 for x ≤ −2 r(x)= { −x−1 for x > −2   I'm REALLY not understanding this. :(

Q: 1. The monthly revenue R earned by selling x lamps is R(x)= 120x-0.46x The monthly cost of producing…

A: (a) The given revenue and cost functions are,

Q: 4. The function I results when the function f() = 2x" + 54x" is vertically stretched by a factor of…

A: Given The given function f ( x ) = 2x5 + 54x2

Q: Suppose a baby food complany has determined that its total revenue R for its food is given by…

A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…

Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: 5. For the quadratic function f(x) = 5x² – 3x + 1, what is f(3)? %3D

A: f(x) = 5x2 - 3x + 1 f(3) means the value of the function when x = 3 f(3) = 5·32 - 3·3 + 1 f(3) = 5·9…

Q: -2t x' – 5x = -e", x(0) = 3

A:

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

Q: Consider 6x + 1/(2x). When increasing/decreasing? It's decreasing on both sides of 0. Explain why…

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Q: The profit from producing n quilts per year is given by the function P(n)=−15n^2+270n−840, where P…

A:

Q: How would you solve for f(x)=x2+6 g(x)=2x+3 (gof)(-2)

A: Given, f(x)=x2+6   g(x)=2x+3  We have to find g∘f-2

Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

A: A function is said to be increasing if f'x>0. A function is said to be decreasing if f'x<0.…

Q: Find the point of inflection and concave of the graph of the function. (If an answer does not exist,…

A:

Q: Determine the image of the function x2 – 12x + 27 f(x) = x2 – 4x + 5 for all æ E R. Solve the…

A: .The given rational function is f(x)=x2-12x+27x2-4x+5. We can determine the image of the function…

Q: B. Find the absolute extremum value 2. y = x* - 8x² + 16:on[-3,1]

A:

Q: Determine the image of the function - 12x + 27 - f(x) = x2 – 4x + 5 - for all æ E R. Solve the…

A: Given: f(x)=x2-12x+27x2-4x+5  for all x∈ℝTo determine the images of f(x)i.e, range set of f(x)

Q: 4. Sketch a graph of f(x) = x2 + 2x-3 and use the graph to solve: x2 + 2x-3 <0. Write your answer in…

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

A: The given function is f(x)=x2+2x-3 at x = -4

Q: What is the value of x at which f(x) = -5x2+4x+17 has an extremum?

A: We have to find for what value of x it gives extremum

Q: explain this.    the given height of a spaceship at time x is defined by h(x)=…

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Q: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

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Q: at x=3.

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Q: f(x)= .5x^2+4x-10 How do you find this using the secant method?

A: In this problem we will use the secant method

Q: As x approaches negative infinity, which of the following describes the end behavior of f (x ) =…

A: Given, fx=-x7+bx3+cwe have to find the behaviour of this function.

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A:

Q: What is the domain of y = In (x² – læ 1а — 6)?

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Q: The function C(x)=−9x+2401 represents the cost to produce x items. What is the least number of items…

A: Obtain the average cost function for the given cost function as follows. Cx=Cxx=-9x+2401x=-9+2401x

Q: finding the vertical asympnotes for the following; g(x)=x+2/x2 -1

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Q: What is the maximum value of f(x) = x³ - 3x² - 1 on the interval [-3, 2]? A) -1 в) 5 C) 0 D) 2

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Q: At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a…

A: Given model of the equation is simplified by expanding the brackets:

Q: How did you get g= -3 and f=2 in the first given? Kindly show solution

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Q: 2. For what values of x is y = 150x - 2x3 an increasing function?

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Q: Find the absolute extremum value 1. f(x) = x - 8x² + 16; on [-3,1]

A: Introduction: The maximum and smallest values of a function within a certain set of ranges are known…

Q: For what value of x does the function g(x) = (x2 - 4)² attain the absolute maximum in the interval…

A: we have to find absolute maximum

Q: On what interval is f(x) = x³ + 3x² – 24x +7 decreasing? The graph is decreasing on the interval

A: Use first order derivative test to obtain the interval of decrease.…

Q: 8. How many times is x= 1a root of f(x) = 2x -7x + 9x -5x +1? How do you know?

A: Solution :-

Q: 13) Given f(x) = 7x² – 4x – 2, without graphing, determine whether it has a maximum value or minimum…

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Q: 3x+|2x-3|-2 , where x less than 1

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Q: 3x* + 9x3 is x-0 5x4 +3x³ 7. lim А. 2 В. З С. 6 D. nonexistent

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Q: 5x+1 Given g(x) find and simplify g'(x). 3x-1

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Q: What is the degree of the function g(x)=-2x(2x–1)(r² +1)* ?

A: We have to solve the problem

Q: Suppose f(x) = x² + 3x and g(x) = x. Solve the following inequality using a gn analysis and write…

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Q: Find the absolute extremum value 1. f(x) = x* - 8x2 + 16; on [-3,1]

A: Explanation of the answer is as follows

Q: x+2 for 4. Graph. f(x) ={-V4 – x² for -2 sxs2 (-x(x-3) for x 2 f(x)t

A: Consider the function  f(x)=12x+2                 for x&lt;2−4−x2            for−2≤x≤2−xx−3…

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: Determine the image of the function x2 – 12x + 27 - f(x) = x² – 4x + 5 for all æ E R. Solve the…

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Q: interval

A: We have to find the increasing interval according to the given function

Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

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Q: X x2 — хс + с? х с

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.