9. Find the following for the function g(x) = -(x + 5)2 + 2 (A) Intercepts Range (C) Maximum or minimum (D) (B) Vertex

Q: Find the minimum point for the function f(x) = 5x – 14x2 – 11x + 1

A:

Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

Q: 10. If the minimum of the function y =x 2-4x+21 occurs at x = 2, what are the coordinates of the…

A: We have to find mimimum point

Q: A calculator company found that the cost of producing x graphing calculators per day is C(x) = 4x +…

A: a) Revenue = price x quantity sold R(x) = 80 x

Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

A:

Q: In 2009, the federal income tax T on income of x dollars (up to $82,250) was determined by the…

A:

Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

A:

Q: Suppose we have a revenue function given by  R(x) = 3x3 - ax, Where a is a constant. What would the…

A: Average revenue=Revenuex=R(x)x

Q: 1) Find the minimum value of the curve y = 3x + 2x - 3. Plot the graph for values of x between -2…

A: We have to find the minimum value of the curve y=3x2+2x-3 over the interval -2&lt;x&lt;3.

Q: If the total cost function (in dollars) of a company that produces x number of portfolios per week…

A:

Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

A:

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

A: Consider the given question,Quadratic equation is a parabolic equation and its vertex is highest or…

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by q = (101 −…

A: Given:Demand equationq=(101-2p)2

Q: Suppose f'(x) =x++x³ – 6x². Determine the value of x where f has a relative minimum value.

A:

Q: 3) Solve the problem. 3) Use the graph of y = f(x) below to graph y = 5f (x) 10+ 9- 7- 6- 4 5 7 X A)…

A: if we have function f(x) and we multiply it with any constant say k  if k &gt; 1  then graph will…

Q: Suppose the cost function is given by C(x)=2e3x. Find the x-value which minimizes the average cost.

A: to find the value of x which minimize the average cost.

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $45 -…

A: Given:   The price per unit of phone is given as P=$45-0.0125x     where x is in thousands of phones…

Q: 2.a. Find the maximum and minimum values of the function: y = 3x² 18x +31 -

A: We have to find the maximum and minimum values of the given function y=3x2-18x+31 .

Q: Suppose that the monthly cost in doliars of mining a certain ore is related to the number of pieces…

A: We have to find the value x

Q: ​Aki's Bicycle Design has determined that when x hundred bicycles are​ built, the average cost per…

A: The average cost per cycle cx=0.1x2-1.2x+3.939 To minimize the cost, let us find the derivative of…

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

A:

Q: Sketch the graph of y = (x² – 1)² – (2x – 1)². [In your answer, you must include the following: •…

A:

Q: Suppose f'(x) =x4+x3– 6x2. Determine the value of x where f has a relative minimum value.

A: Explanation of the answer is as follows

Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

A:

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: A). Answer is option B.    B). 115/8 million chips   C). 826.5625 million

Q: 1. The profit of a cell-phone manufacturer is found by the function y= -2x+108x+75 where x is the…

A:

Q: 1. The minimum point on the graph of the equation y = f(x) is (2, – 1). If f(x) is shifted 3 units…

A: Given that y=f(x)minimum point on the graph is (2, -1)

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

A:

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

A: Consider the provided question, Yes, cubic function have at least one real root (x-intercept) but…

Q: Find the point on the graph of the line f(x)=3x+4 that is closest to the point (6,3) x= y=

A:

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $75 −…

A: The price per unit of a cell phone is modeled by the following expression p = 75-0.0125x Where, x is…

Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

A:

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A:

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A: Given  , Average cost per bicycle  C(x) = 0.5x2-0.5x+3.769

Q: 10. If the minimum of the function y =x 2 –4x+21 occurs at x =2, what are the coordinates of the…

A: In the question , it is already given that minimum is occurring at x = 2 So, just put the value x =…

Q: 3. Investigate the existence of local maximum and or minimum point(s) of the function f(x; y) =x -x…

A: Given: f(x, y)=13x3-x+xy2

Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

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

A: Answer

Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: Given that, The price demand function is px=70-0.25x and the cost function is Cx=0.5x2+10x+800. We…

Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

A:

Q: Find the level curve of the function at c=2 for g(x,y)=(x^3-y)

A: A scalar function g(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the…

Q: Suppose the cost function is given by C (x) =2e3x. Find the x-value which minimizes the average…

A: It is given that, the cost function is given by C (x) =2e3x. We have to find the value of x which…

Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

A:

Q: The cost (in dollars) of producing x corkboards is given by x2+20x+500, while the price (in dollars)…

A: According to question,Given Cost function,Let Cx = x2 + 20x + 500,andDemand Function,px = 100 - x

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: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per…

A: Consider the provided cost function.

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A: