2x2 -8x Let f(x) : x3 –4x2 –3x+12 Analyze and sketch the graph of f(x); • Find the area of the region bounded by the graph of f(æ), the x-axis and the vertical lines x = 5 and x = 7

Q: The region between the graphs of f(x)=x^2+3 and g(x)=−x+5 has ____________area square units.

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Q: Find the area of the region bounded by the graphs of f(x) = 2 − x2 and g(x) = x.

A: From the graph, we see that x is from -2 to 1

Q: Sy 5x – 10 Find the region with points that satisfy both inequalities.

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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…

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Q: 2x – 3x2 here is a line through the origin that divides the region bounded by the parabola y nd the…

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Q: F(x)=-4cosx g(x)=2cosx+3  for 0<x<2pi   Shade the region on a graph bounded by the graphs of f…

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Q: (b) Complete the table for y=-x + 8x - 7, including all integral values of x such that 0SxS8. This…

A: Make a table for (x,y) and substitute all integral values in the function and find y. x…

Q: Find the absolute maximum and minimum of the function f(x,y) = 8y? - 72x - 4 over the closed region…

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Q: absolute maximum and minimum

A: We have the given function : f(x)=xe-x2…

Q: Find the absolute minimum and maximum points of the function g(x,y) = x² – y² + xy – 5x over the…

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Q: f(x)=-x2+5x and g(x)= 3x-3 Find the area of the region completely enclosed by the graphs of the…

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Q: Maximize f(x, y) = 18 - x2 - y2, x + y - 2 = 0.

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Q: An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

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Q: f(x) = -8x + 1 has a: %3D O maximum neither a minimum or maximum O minimum

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Q: x² when x = 0, x = Suppose the graph of a cubic polynomial intersects the parabola y = b, where 0 <…

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Q: Find the area of the largest rectangle that can be inscribed in the region bounded by the graph of…

A: Given: y = 4-x2+xArea of the rectangle = xyA = x(4-x2+x)= 4x-x22+x

Q: Rx) =-x + 6x + 5 on [5, 8] maximum minimum

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Q: Find the maximum profit and the number of units that must be produced and sold in order to vield the…

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Q: The demand function for a product is modeled by - 13,00(1- p3D 6 + e-0.001x Find the pricep (in…

A: a) The demand function is given as p=130001-66+e-0.001x when x=1000 p=130001-66+e-0.001×1000…

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x² + y²+ 4x – 4y,…

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Q: R is the region bounded above by the function f(x) = −3x/4 + 7 and below by the function g(x) = −x/2…

A: Given are the functions f(x) = −3x4 + 7 g(x) = −x2 + 2 The objective is to graph the region in the…

Q: R is the region bounded by y= sqrt x , and y= 6-x and the vertical y-axis. Q is the region bounded…

A: We have to Sketch the both region on the graph

Q: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is

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Q: Consider the function f(x, y) = 3x-8xy+ 6y² . Find the maximum and minimum values of f in the region…

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 − 4x −…

A: Given: The function is fx,y=2x2+3y2-4x-1 on the disk x2+y2≤16. Definition used: The Lagrange…

Q: (4 points) Find the absolute maximum and absolute minimum of f(r) = 4r + 3r2 – 6x +1 on the interval…

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Q: ve sketching wsh.dOCX Васк 2x² + 29x + 2 f (x) = 2. x + 2x +1

A: Solution:- according to our terms and condition i have starting 3 parts for remaining please repost

Q: The region between the graphs of f(x) = x² + 3 and g(x) = x + 9 has area square units.

A: SOLUTION-

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Q: Find the absolute extrema of the function on the closed interval. 7x2 g(x) = [-2, 1] х — 2 minimum…

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x2 + y2 + 6x −…

A: Find the extreme values of f on the region described by the inequality. f(x, y) = x2+ y2+ 6x − 6y,…

Q: The third-degree polynomial function p(x) = ax3 + bx? + cx +d that is tangent to the line y = 14x -…

A: Solution : We have given a polynomial function px = ax3 + bx2 + cx + d that is tangent to the line…

Q: 3. The horizontal asymptote(s) of f (x) = Vx² – 1- væ² +x.

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Q: The cost C of a product is a function of the quantity x of the product: C'(x) = x² - 3000x+50 .Which…

A: Please refer to the image below

Q: Eind Positive Numbers XE y Such that X+Y -54$ 1oxy is maximized

A: detailed solution with explanation is given below

Q: 3.4 Applied Optimization Activity 3.4.4. Consider the region in the x-y plane that is bounded by the…

A: We have given a region of x-y plane bounded by x axis.                               f(x) = 25-x2 .…

Q: The graph of y = x is the image of y = Vx after: O horizontal compression by a factor of 3/2 O…

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Q: onsider / (x) =x- 6x²+9x +3 defined on the closed interval At which value of x does the absolute…

A: See the details solution in below

Q: 2) Find the absolute minimum and maximum points of the function g(x,y) = x² – y² + xy – 5x over the…

A: Given the function g(x, y) = x2 – y2 + xy - 5x, we have to find the maximum and minimum points of…