GIVEN : f(6) =-4x3+5x+7 FIND: ( a) LOCAL MAXIMUM= (ROUND TO TWO DECIMAL PLACES.) b) INCREASING. INTERVAL=

Q: The path of a diver is modeled by rx) %= 승x2 + 24x+ 11 where f(x) is the height (in feet) and x is…

A: We, know at maximum or minimum of a function f(x), the first derivative, f'(x)=0. At maximum,…

Q: What is the maximum point on the curve = 2 + 12? − x3

A: Maxima minima problem

Q: Estimate S," 3x +x² using Mid-point method (n=6), then find the error estimate.

A:

Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

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Q: The height of a ball thrown across a field, f(x), in feet, can be modeled by f(x) = -0.005x² + x +…

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

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: If a baseball is projected upward from ground level with an initial velocity of 128 feet per second,…

A: Given height as a function of time S= -16t2+128t Here, A= -16 B= 128, C=0

Q: The annual revenue and cost functions for a manufacturer of precision gauges are approximately…

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

A:

Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

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: 4. Determine the vertical asymptote(s). x'+5x-7 а. У - х*-3х- 28 x³+4x³ -4x+6 b. f(x) - * x'+2x²…

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Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

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

A:

Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

Q: What is the absolute maximum value of the function f(x) = x – 3x2 on the interval [-2, 3] ? a. None…

A: Given the function is f(x) = x3-3x2 on the interval -2, 3.

Q: Find the function P(x) of a company selling x items is given by P(x)=x³+9x²-15x+13 where x…

A: The function P(x) of a company selling x items is Px=x3+9x2-15x+13

Q: Find the absolute maximum and absolute minimum values of the function f(x) = -x3 + 12x + 6, over the…

A:

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Giveny=-5x-14

Q: The weekly revenue from the sale of x units of a service is given by R(x) = 192x - 6x thousand…

A:

Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

A:

Q: An aircraft factory manufactures airplane engines. If x engines are made then the unit cost is given…

A: This question is related to maxima and minima of function, we will use differentiation to solve…

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: Use the Midpoint Rule with n = 5 to approximate x dr - 2

A: We have to find the approximation of the given integral using Mid point rule.

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

A:

Q: y' = 2xy²; y 4 – x2

A: Differential equation

Q: Use the function’s equation .f(x) = 2x2 + 12x + 703, and not its graph,to finda. the minimum or…

A: Given function is fx=2x2+12x+703. We know that if fx=ax2+bx+c then maximum or minimum value occurs…

Q: Find the value of the maximum or minimum limit of the function ** 8 - 4x2 + 1 f(x) Then write the…

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

A:

Q: The profit, P, (in dollars) for Ace Car Rental is given by P =100x -0.1x2 , where x is the number of…

A: P =100x -0.1x2  is a parabola eith negative lead coefficient. So it will have the maximum value at…

Q: Find the vertical asymptote.

A: Given:

Q: 3. The fuel used by a car is defined by f(x)=3x=/80-6x+245. where x is the travelling speed in km/h.…

A: The fuel used by the car is given by the function: f(x)=310x2-6x+245 where x is the speed of the…

Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…

A: Given equation is   m(x)=2x2-7x+9 We have to find the absolute maximum and minimum of the given…

Q: f(x) = 2x3+az? 12z has alocal maximum at z -2,then a

A: f(x)=2x3+ax2-12x  has a local maximum at x=-2then we have to find the value of a

Q: At what x value does the local maximum occur for the function x^3 -4x-2 ? Give your answer in…

A: It is maximum value problem.

Q: A company that produces cellular phones analyzes its production and finds that the profit P (in…

A: Given:Profit Function:

Q: The annual total revenue for Pilot V5 pens is given by R(x) = 1500x - 0.02x2 dollars, where x is the…

A: Given, R(x)=1500x-0.02x2

Q: 4. Using at 7 points, graph the function f(x)=2x 10-

A: First we find out the values of y at the different point of x and then make the graph.

Q: The absolute maximum value of the function y = 4x5 - 10x2 – 8 on the interval [-2, 2] is

A: Given: y = 4x5 - 10x2 – 8                                                     intervals [-2, 2]  to…

Q: what is the maximUM value for the funcion flx)<~x? + 2x+2?

A: Take the derivative of the given function and equate to zero.

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

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Q: The number of newspaper copies produced from 1995 to 2002 is given by C = 50t2 - 200t + 10,000,…

A: Here we want to find minimum number of copies of newspaper produced. Here we use application of…

Q: The profit function for a company that produces shoes is given by y = - 2x ^ 2 + 12x +23, where "y"…

A:

Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

A:

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: What is the equation of the vertical asymptote of f(x) = 2log,(x+ 1) – 3? Enter your answer in the…

A: To write the equation of the vertical asymptote of the below function. fx=2log2x+1-3

Q: The yield in bushels from a grove of orange trees is given by Y = x(400 − x), where x is the number…

A: