QUESTION 7 Write your own quadratic functions that opens up and takes minimum value of 4.

Q: 12. 2y' + y = 3t2

A: The differential equation is 2y'+y=3t2. (a) Draw the direction field of the equation 2y'+y=3t2 as…

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A: A regression equation is used to relate the response variable with the explanatory variable. There…

Q: Solve me! Answer with Solution: Problem #1: of the rectangular Field of VNHS Tawi-Tawi building that…

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Q: Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

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Q: The pair of numbers whose sum is 10 and whose product is as large as possible is. (Use a comma to…

A: The objective of the question is determine the possible values for maximum product and the product…

Q: 5. Find the quadratic function whose graph has vertex at (1,2) and passes through (3,4).

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Q: Question 3 of 11, Step 1 of 1 Correct The weekly revenue from the production and sale of x units of…

A: Given problem The weekly revenue from the production and sale of x units of coal is given by R(x)=…

Q: Question 2 Consider f (r) = 1+ 4x2, -3 <a < 2. The absolute maximum' value is and this occurs at The…

A: We have fx=1+4x2 over the interval -3≤x≤2

Q: Question 7 Consider the Quadratic function f(x) = 9x² 4. Its vertex is ( Its largest z-intercept is…

A:

Q: Give the equation of the tng function graphed below: All answers should be typed in without spaces.

A: We have to find the amplitude and time period .

Q: 6. Suppose a sculptor wants to create a parabolic arch with a height of 5 m and a width at the base…

A: To find -Quadratic equation

Q: QUESTION 4 Let f(x)=x-4/x with X >0. Find the X value that produces the smallest output, the global…

A: f(x)=x-4x , x&gt;0

Q: Determine algebraically where the cubic function with zeroes at 2, 3 and -5 and passes through the…

A:

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: The table shows the percentage of people living below the poverty line in one U.S. city in the years…

A:

Q: Question 9 A farmer wishes to fence in a rectangular plot of land with one side running along a…

A: topic - application of derivatives

Q: Question 5 Prove that it is impossible to maximize the sum of two real numbers if their product is…

A: Actually the sum of two real number and their product will be same. So we can't maximize their sum…

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: 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: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

Q: If a quadratic function has a dilation rule in the form f'(x) = af (x)´, what will cause a…

A: We have to find out  horizontal dilation

Q: Question 4 It has a local/relative maximum when x = A 2 B В) 1 c) o D -2

A: Given, The function  y=fx and the first derivative y' =xx-2 We have to find the relative maximum of…

Q: Question Four For the total cost function C(x) = 3x2 + 100x + 3000 and the total revenue function…

A:

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

A: Given

Q: I am stuck on the maximum and minimum values of y and corresponding x.  Will you please assist on…

A:

Q: Kindly show detailed solution. x2 Maximum point of y2 х-2

A: Given a function : y2=x2x-2 We need to find the maximum point. Let's begin.

Q: Chapter 4, Section 4.1, Question 052 Find constants a and b so that the minimum for the parabola f…

A: Given,          The minimum for the parabola fx=x2+ax+b occurs at the point -2,4.

Q: Find a quadratic function f (x) = ax2 + bx + c which has a vertex at (1, 1) and passes through (3,…

A:

Q: What is the equation of the function for a parabola that moves 2 units to the right of the origin, 2…

A: Given parent function is f(x)=x2

Q: QUESTION 8 Suppose a manufacturer of a clothes dryer found that when the unit price is x dollars,…

A: Given that,

Q: Do you agree with this statement. Cubic functions must have at least one x intercept but not more…

A: Given statement : Cubic functions must have at least one x intercept but not more than 3 whereas…

Q: 1.Discuss two practical applications in which “piecewise functions” are used either explicitly or…

A: We will answer the first three questions. Please resubmit the other question as a separate one.

Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: The table shows projections for the female population of a country (in millions). Year 2020 2045…

A: Here is the solution,

Q: Step 4 To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X…

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Q: One of your classmates makes the claim that the solution of an optimization problem modeled by a…

A: Given: Claim: The solution of an optimization problem modeled by a quadratic function occurs at the…

Q: Given the quadratic function shown below whose turning point is (2, – 4), which of the following…

A: Here we use the graph to tell about the interval of decrease. If the slope of the tangent line…

Q: Suppose a company has a cost function C(x)= 1600-22x+xsquare and the revenune function R(x)=…

A:

Q: Question 7 Express x - 5x +7 in the form (x+ A)´ +B where p and q are integers. Hence write down the…

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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: The graph of f(x) = -3(x – 2) – 6 is a parabola that орens with its vertex at ( ,), and f(2) = value…

A: fx=-3x-22-6 Comparing with fx=ax-h2+k, we get a=-3, h=2 &amp; k=-6. Now since a&lt;0, therefore the…

Q: A quadratic function y J (x) is plotted on a graph and the vertex of the || resulting parabola is…

A: If y = f(x) + C ,then C &gt; 0 moves it up C &lt; 0 moves it down If y = f(−x), then Reflects it…

Q: If a and b are positive numbers, find the maximum value of f(x) = x"(1 – æ)*, 0 < x < 1 Your answer…

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Q: B. Consider the following quadratic function 1. f(x) =-3(x+1)² +5 Vertex; Opening/Direction: Maximum…

A: We are authorized to solve only one independent question, please repost remaining questions…

Q: The following table gives the number of worldwide cell phone subscribers, in billions, for selected…

A: Given that: NOTE: As per our answering guidelines, we can only answer 1 question or 3 sub-parts per…

Q: ueusec Consider the following optimization problem Min f (x) = x,-2az+5x3=M4 S.t 2x,-3x2=ーラ こくカて+x-…

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Q: Question 4 Suppose f(x)=x+x3-6x2. Determine the value of x where fhas a relative maximum value. A…

A: x=-3 is the point of a relative maximum value

Q: What is the maximum profit that can be reached?

A: A linear demand curve is a graph that depicts the relationship between demand and pricing for a…

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

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