1) A linear function ? satisfies the conditionsL(−2) = 3 andL(1) = −2. a) Graph the function. b) Find an equation of the function and rite the final answer in the form L(x) = mx +b

Q: According to one model of bird flight, the power consumed by a pigeon flying at velocity v (in…

A: The power consumed by a pigeon at velocity (v) is given as,

Q: 2. Which is the graph of the quadratic equation y=- 3x +x+1 ? a. С.

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Q: Sketch the graph of a quadratic function y=x² + 3 and identify the following: 15. Vertex 16.…

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Q: 3. The sum of the distances of any point of a curve from two points with coordinates (-3, 0) and (3,…

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Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p=60-0.0125z,…

A: The revenue function is R=x·p, where p=60-0.0125x. Calculate the revenue function.…

Q: An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the…

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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  Demand equation of x  p = -x8+26    ......... (1) Revenue function  R(x) R= p.x Putting the…

Q: I am trying to find the absolute maximum and minimum value of the function (x2/3)(x-5) But there…

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Q: What production level will yield a maximum revenue?

A: R=−x^3+30x^2+900x   To maximize R, find dR/dx and set to 0 : dR/dx = -3x² + 60x + 900 0 = -3x² + 60x…

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

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Q: 4.6 optimization #27 a truck is 250 miles east of a sports car and is traveling west at a constant…

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Q: 10. Given that f is a quadratic function with minimum f(3) = 6, find the vertex, range, and…

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Q: A company can produce a maximum of 1500 widgets in a year. If they sell x wwww m widgets during the…

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Q: [4] Find the equation of the quadratic function that has a vertex at (-2, 6) and contains the point…

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Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

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Q: 6) Discuss the concavity of the graph of ƒ (x) = x* – 2æ³ + 1 and find its points of inflection.

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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: Topic:- algebra

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily total…

A: Given that Cx=100,000+50x+0.0025x2. And according to the given information Rx=100x And 0≤x≤7000 a We…

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Q: 7. How does one determine whether a given quadratic function: (a) has a graph with positive or…

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Q: 3 [(x²-y²)² du dt Evaluate: ²₁₂³ [(x² - y²)²] x+y

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Q: 4) Find the equation of a quadratic function with a maximum value at (2,5) and a vertical intercept…

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Q: 1. To put the quadratic function f(x) ax? + bx + c in %3D standard form, we complete the

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Q: 1. Is it possible for the graphs of two different quadratic functions to each have x= -3 as its line…

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Q: 5. sketch a possible graph of a quadratic function which has two real roots, a graph that opens…

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Q: Find the maximum or minimum value of the function.

A: Given :           The function h(x) = 12x2 + 2x - 6.   To find the maximum and minimum value of…

Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: A cubic function is one in the form f(x)=ax3+bx2+cx+d. The "basic" cubic function, f(x)=x3 , is…

Q: f f(x) = ax2 + bx + c, what can you say about the value of a, b, and c if (1,-8) is a point on the…

A: f(x)=ax2+bx+cgiven:x=1,  f(1)=-8x=3,  f(3)=4x=0,  f(0)=-23x=0, f(0)=-23  f(0)=a×0+b×0+c⇒-23=c⇒c=-23…

Q: Sketch a graph of the quadratic function. f(x) = x2 - 6x y y 10 10- 5- -10 10 -10 -5 5 10 5 10 10 y…

A: fx=x2-6x The graph is,

Q: Is it possible for the graphs of two different quadratic functions to each have x = -3 as its line…

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Q: 2 = In quadratic equation graph is given y=ax´ +bx+c.A

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an…

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Q: 6. In each case, construct a quadratic function with the specified feature(s). (a) Has x-intercepts:…

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Q: Suppose a company has demand function given by q = 760 – 7p and a cost function C(q) = 2400 + 10q.…

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Q: 17. Suppose a local office supply company sells erasable pens and that their profit (in dollars) for…

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Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily total…

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Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?.

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Q: Solve the problem graphically and calculate the Z value of at the optimal solution (

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Q: 1. Pick a point where that is NOT on any of the lines: a = 0 y = 0 y = x y = -x 2. Find the equation…

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

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Q: If the total cost function for producing x lamps is C(x) = 360 + 35x + 0.4x2 dollars, producing how…

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Q: 7. a) Determine the restrictions on the y- intercept so that y = 3x2 + 6x - 1 intersects with a line…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.