3. f(x)=x-4x Vertex x-intercept(s) 5. f(x)=16x-64 Vertex x-intercept(s)

Q: 3. The region between the graphs of y = x3 + 4x - 1 and y = 2x3 + 3x? - 1

A:

Q: Find the relative maximum point of the curve: Y=16x+4x2-x4

A: Solution of question as follows

Q: For a certain company, the cost function for producing x items is C (x)=30x+100 and the revenue…

A: Given, The cost function is C (x)=30x+100 The revenue function is R(x)=-0.5(x-90)2+4,050 The maximum…

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: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

A: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

Q: A company sells two different types of candles, and their profit function for a week is given by…

A: Consider the provided question, (3)

Q: . What is the value of the coefficient c of the equation y = ax³ + bx² + cx + d so that it will have…

A:

Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

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: What is the minimum point of the curve y = x2 – 6x + 4

A: The given function is: y=x2-6x+4   First, we have to find the critical points by solving dydx=0.

Q: What is the x-component of the minimum point of the function in the picture?

A: Given  z=x2+xy+y2-y ∂z∂x=2x+y On putting,  ∂z∂x=0 ⇒2x+y=0 ---> eqn(1) Now, ∂z∂y=x+2y-1 On…

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

A:

Q: A company has determined that when x hundred dulcimers are​ built, the average cost per dulcimer can…

A: The average cost per duclimer  can be estimated by the following function…

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

A: Px=30,000,000-360,000x+750x2-13x3 Differentiating with respect to x, we get…

Q: 3. Find the points of inflection: y = x- 2cosx

A: We have to find inflection point

Q: A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue…

A: Given ,Revenue from x1 units of running shoes and                           x2 units of basketball…

Q: Find the point on the graph of y = 1x that is closest to the point (2, 0). [Hint: 2(x - 2)2 + y2 has…

A: Given: y=x Let the point closest to (2,0) be P(x,y). Distance between point P(x,y) and (2,0) is:…

Q: A manufacturing company has developed a cost model, C(x) = 0.15x3 + 0.01x² + 2r + 120, where x is…

A: Given that:                      Cost function, C(x)=0.15x3+0.01x2+2x+120Sale Price function,…

Q: 2. A fertilizer producer finds that it can sell its product at a price of p = 300 -0.1.x dollars per…

A:

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

Q: 2. The Minimum point of y= 320

A:

Q: A firm can produce 400 units per week. If its total cost function is C = 300 + 1400x dollars and its…

A: Given Data: The number of units produced per week is: n=400 units per week The total cost function…

Q: A product can be produced at a total cost C(x) = 800 + 100x ^ 2 + x ^ 3 dollars , where x is the…

A: Find the profit function P(x) as the difference of the revenue function R(x) and cost function C(x).…

Q: 4) Suppose the cost of producing x items is given by C(x) 4000 - x3 and the revenue made on the sale…

A: Consider the given question,The breakeven point occurs where profit is zero or when revenue equal to…

Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 1. y= 2x² - 12x…

A: A detailed solution is given below.

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: A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollars per…

A: Given that, The total production cost (in dollars) for x units is: C(x) = 15000 − 125x + 0.025x2…

Q: csec²x +secx -2=0 3cotx-3=0

A: Given: 3 cotx -3=0

Q: A fertilizer producer finds that it can sell its product at a price of p = 500 – 0.1x dollars per…

A: Given:       Price p=500-0.1x      Revenue =price times quantity sold         R(x)=500x-0.1x2  cost…

Q: What is the minimum value of 3x 4x +1 and for what value of x does it occur?

A: We have to find the minimum value of 3x2-4x+1 and for what value of x does it occur.

Q: A fertilizer producer finds that it can sell its product at a price of p = 4000 – 0.8x dollars per…

A:

Q: The cost of producing x units of a certain commodity is C(x) = 1x² + 5x+8 dollars. If the price is…

A:

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include…

A: The given differential equations is y′=−6x+3.

Q: Suppose that c(x) = x3 - 20x2 + 20,000x is the cost of manufacturing x items. Find a production…

A:

Q: A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue…

A:

Q: the area of the largest rectangle that can be drawn with one side along the x-axis and the two…

A: Given curve is y=e-x2. Here the curve is symmetric about origin. Consider the vertices of rectangle…

Q: 24. Find the point of inflection of the curve x3 – 6x2 + 2x + 14.

A: Using formula of point of inflection of the curve.

Q: If a profit function of a firm is given by P(x) = -1500 + 160x - x^2 and limitations on space…

A: Given - If a profit function of a firm is given by Px = -1500 + 160x - x2 and limitations on space…

Q: A firm can produce only 3200 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Find the profit function P(x):

Q: Suppose that the revenue and cost functions for a particular company are given by R(x) = – 3x² +…

A:

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

A:

Q: 2. The Minimum point of y = 8x+4 (x-2)²

A:

Q: 1. The Maximum point of y= 9-x² x²-4

A: This is a problem related to maxima and minima. Based on the general formula and concept we will…

Q: The marginal profit from selling x chairs is P'(x)=-10x2 +100x+50 dollars per chair. There are no…

A: The marginal profit from selling x chairs is P'(x)=-10x2 +100x+50 dollars per chair. There are no…

Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given that the cost function is Cx=40x+100 and the revenue function is Rx=-0.5x-802+3200.Also the…

Q: 4) The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: Maximum number of mosquitoes

Q: Show detailed solution. x² +x-12 Minimum point of y = x² -4

A: Given: y=x2+x-12x2-4

Q: A management company is going to build a new apartment complex. They know that if the complex…

A: To find the number of apartments for which the cost is minimum and also find the minimum cost.

Q: Suppose that c(x) = x³ – 20x2 + 20, 000x is the cost of manufacturing x items. Find the production…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…