Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph and shade the bounded area for the function fx

Q: Find the slope of the graph of the function at the given point.

A: Given: fx=3x2-4x Given point is 1, -1

Q: An object attached to a spring oscillates around a position and is represented by the function…

A: Object is attached with a string and it's oscillating. It's height is represented by an equation…

Q: What is the maximum point of the curve y = x3 – 12x + 8   What is the inflection point of the curve…

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Q: A water ride with heights above and below the starting point can be modeled by the function y =…

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Q: The area of a parallelogram bounded by the y-axis, the line x=6, the line f(x) =6+2x, and the line…

A: The line parallel to y = 2x +6 will be of the form y = 2x + k…

Q: Approximate the function that represents the data (2,–2), (4,2), (5,3) by a cubic spline.

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Q: Enter an eqvation_for the line of symmetry for the function flx)=4x²+[6X-9 %3D

A: The function is given by f(x) = 4x2+16x-9 To evaluate : Equation of the line of symmetry

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Given function, f(x)=4x6-615

Q: Plot the x-intercepts of the function ƒ (z) = zª + 3z³ – 4z² – 12z.

A: Given,          The function is fx=x4+3x3-4x2-12x .

Q: A rectangle is bounded by the x- and y-axes and the graph of y = (5 - x) / 2 . What length and width…

A: Given, A rectangle is bounded by the x-axis and y-axis and the graph of y=5-x2

Q: -5- - fx – 3;x 0 f(x):

A: Suppose we have piecewise function and need to find value of function at x=a . Follow below approach…

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+6) at (2,8). The equation of…

A: This question is based on application of derivative to find slope of tangent line.

Q: Find the slope of the graph for the function f(x) = 3sinx + 11 at the point (7,11)

A: The function is f(x)=3 sin(x)+11

Q: Find a function that models the area of an equilateral triangle in terms of the length x of one of…

A: The function is equilateral triangle:   Concept used: The Area of equilateral triangle is defined…

Q: Find the interval or intervals where the function is increasing and where it is decreasing.  Please…

A: A function of x is said to be increasing on an interval when the derivative function is positive on…

Q: Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7)…

A: A detailed solution is given below.

Q: The equilateral trianhle is inscribed in a circle of radius 6r. Express the area A within the circle…

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Q: Approximate the function that represents the data (2, -2), (4,2), (5,3) by a cubic spline.

A: Solution:

Q: 9. Differentiate the function (use long method): y = xvx-1

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Two students were playing the same game. The difference in points that each scored for the game can…

A: answer : 3.592 seconds y = 5sinx+3sinxcosx and y = -1 -1 = 5sinx+1.5sin2x therefore x = 3.592

Q: Find the points of intersection of the graphs of the functions y = x2 + 1 and y = 4x

A: Given functions:                     y = x2+1   ... (1)                     y = 4x      ... (2)

Q: One of the two tables below shows data that can best be modeled by a linear function, and the other…

A: First compute the first order and second order difference in given table: since the successive…

Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

Q: If the marginal revenue function of a firm r/ (x) = 5 + 3x – x 2 and r(6) = 112, find the total…

A: Given  Marginal revenue function  MR=r'x=5+3x−x2   and   r(6) = 112

Q: A consultant advises the owners of a beauty salon that their profit p each month can be modeled by…

A: The profit p(x)=-50x2+3500x-2500

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing. show…

A: Topic = Functions

Q: Find the range of the function y = -2|x – 3| + 2. O (-∞,2] O (-∞, ∞) O (-∞, 2) O [2, 0) O [3, ∞) O…

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Q: A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an…

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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: If the marginal revenue function of a firm r'(x) = 5+ 3x – x² and r (6) = 112, find the total…

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Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: Find the critical points for f(x) = 3x5 - 20x3. %3D

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Q: The revenue from the sale of x manual food processors is given by R(x) = 26x-0.2x dollars. The total…

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Q: Find the range of the function y = -4(x – 3)2 + 4. O (-∞, ∞) O (-∞, –4] O [3, ∞) O (-∞, 4) O [-4, ∞)…

A: Range of function :  The set of all values of the dependent variable for which a function is defined…

Q: Find the location of the absolute maximum and absolute minimum of the function on the interval [ -…

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Q: Approximate the function that represents the data (2,-2), (4,2), (5,3) by a cubic spline.

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Q: The price-demand function for selling x Math audiobooks is given by p(x) = 532 −(1/2)x dollars,…

A: The solution is given below-

Q: One tiny insectAis crawling rightward along thex-axis, and another insectBis crawlingupward along…

A: Given: A is moving through the point (12,0) with speed 6, and B is moving through the point (0,5)…

Q: Find all points of intersection between the graphs of the functions. 5 =x+y 7 =x +y

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Q: Find the point on the graph of the function that is closest to the given point. (х) 3 (x - 1)2, (-5,…

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Q: Two students were playing the same game. The difference in points that each scored for the game can…

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Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: A rancher wants to enclose an area of 3000000 square feet in a rectangular field and then divide it…

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Q: Create a linear function over [-3,-1] that has an area of zero.

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Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: Find a quadratic function that fits the set of data points. (0,- 6), (5,24), (25,44) f(x) = (Use…

A: Consider a general quadratic equation of the form y = ax2+bx+c. Put all three point in the quadratic…

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given: y = 2x2 -8x +9 To find: The extreme values of the function over it's natural domain, and…

Q: Solve no 73

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Q: Suppose for a company the function of income (in dollars) is given by R(x)=-0.12x^3+1,296x+12201…

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Q: Find the cxhreme Point and extreme direcbion region of the て-う + X2u5 2 (メメ): - 3X、 → X2c-2 -Xit…

A: We are given the following system of 2d Linear equations : -3x1 + x2 ≤ -2 -x1 + x2 ≤ 2 -x1 + 2x2 ≤ 8…