find the area of the region bounded by the graphs of f(x)-2x2-6x+5 and g(x)=x2+6x-15.

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: Calculate the area, in square units, bounded by f(x) = 10x³ + 8x² - 17x - 4 and g(x) = 9x³ + 10x² -…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  so the lower…

Q: 2. To approximate the area under the graph of f(x)=x'+3x +2 for -45xs1, find the sum of the areas of…

A: ∫abf(x)dx≈∆xf(x0)+f(x1)+.......+f(xn-2)+f(xn-1)∆x=b-an, n=number of rectangles

Q: Find the area of the region lying under the graph of f(x) = quad root of x from x = 1 to x = 16.

A:

Q: Find the area of the region under the graph of f(x) = 2x² – 4x + 2 on [–2, 3].

A: Given  f(x) = 2x2-4x+2 The graph is

Q: Find the area of the region enclosed by the graphs of f (x) = x3-x2 and g (x) = 2x

A: Given f(x) = x3 - x2   and g(x) = 2x The intersecting points of the functions are,  => x3 - x2 =…

Q: Find area of region f(x)=x2-10x+9 g(x)= -x2+8x+9

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Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [-1, 2] by…

A: Clearly the given integral can be approximated by the areas of the given triangles.

Q: Sketch the region bounded by the graphs of the equations (include representative rectangle) f (x) =…

A: Recall: Area Bounded By the Curves :  If f(x) and g(x) are two continuous function and f(x)≥g(x) on…

Q: Find the area of a parallelogram bounded by the x-axis, the line g(x) = 2, the line f(x) = 3x, and…

A: To Determine: Find the area of a parallelogram bounded by the x-axis, the line g(x) = 2, the line…

Q: Find the total areas of the regions a. Between the graph of f(x) = 1- Vx and the x-axis for 0 < x <…

A: Given:        fx=1-x interval 0≤x≤4  Total area of the region between the curve fx and the x-axis…

Q: Find the area of the region bounded by 2-2 8-x X= 8 3.

A: We need to find the area bounded by given curvey=2+x-2 and y=8-x3 and x=8

Q: Find area of region f(x)=x2+4x+4 g(x)=4x+13

A:

Q: The goal of this problem is to overestimate and underestimate the area under the graph of f(x) = 15…

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Q: Find the area of the region bounded by the graph of f(x) = (x-1)^3 g(x) = x-1 With all step and…

A:

Q: Estimate the area between the graph of F(x) = 10x2 - 7 from x = 1 to x = 7 using three rectangles…

A: We have to find the area using left end sum .

Q: Find the area of the region bounded by the graph of f(x) = 4 – x², the x-axis, and the vertical…

A: function f(x)=4-x2 To find area of region bounded by f(x), x-axis and the line x=1 and x=2.

Q: Find the area of the region bounded by the graphs of f(x) = x^2 − 4x + 3 and g(x) = −x^2 + 2x + 3.…

A:

Q: Find the area of the region bounded by the graph of g(x) = (x − 4)^4 and the x-axis between x = 2…

A: From the given curves

Q: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9- x over the interval -2, 1] by using…

A: To find:- Estimate area between the x Axis and graph of f(x) = 9-x2 ove  interval [-2, 1] using…

Q: Find the area of the region bounded by the graphs of f(x) = 5 − x^2 and g(x) = x^2 − 3

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Q: Find the area of the region enclosed by the graphs of f(x)=x²-10x and g(x)=6x 50-64

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Q: find the area of the region bounded by the graphs of f(x)=x2 and g(x)=8x

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Q: Find the total area between f(x)=3x2-3 and the x-axis on the interval [-2,2]

A: Calculation:The given curve are f(x) = 3x2 – 3 and the x axis y = 0 on the interval [– 2, 2].The…

Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

A:

Q: What is the maximum number of relative extrema for a polynomial of degree =n?

A: Polynomial of degree n.

Q: Determine the area, in square units, of the region bounded by f (x) = –3x³ + 3x² + 24x - 4 and g(x)…

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Q: Find the area of the region bounded by f(x) = -x² – 2x + 3, x-axis, and interval [0, 2].

A:

Q: Find the area of the region under the graph of f(x)=2x2−4x+2 on [−2,3].

A: The area can be calculated using the concept of definite integral.

Q: f (x) = x – 2x – 3

A:

Q: Find the area of the region lying to the right of x = y2 - 5 and to theleft of x = 3 - y2.

A: Given: f(y)=y2-5 and g(y)=3-y2 To find: Where the curve intersect and it is calculated when…

Q: Find the area of the shaded region. 18- f(x) = 8x + 2x - x°, g(x) = 0 -4 -18-

A: We have the following equation

Q: Find the area of the region between f(x) =4x²+3x and g(x) = – 9x – 2x².

A: The equation of the curves given by C1: fx = 4x2+3x C2: gx =-9x-2x2 To evaluate : The value of the…

Q: Find the area of the region bounded by the graph of f(x) = x(x + 2)(x - 1) and the x-axis on the…

A: Area of the region bounded by f(x) and x- axis

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [– 1, 2] by…

A: Given the graph of the function :

Q: Find the area of the region between the graph of f (x) = x* – 3x² +8 and the closed interval [-1,…

A:

Q: Find the area of the region bounded by the graphs of f(x) = -x² + 2x +5 and g(x) = |2x|.

A: Here we have to find out the area bounded by the given curves.

Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3

A:

Q: Find the area of the region between the x-axis and the graph of f (x)= x' – 4.x² + 3x, Osxs2. .

A:

Q: The area of the region bounded by the function f(x) = + 3, lines x = −2, x = 2 and the x — axis is…

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Q: Find the area of the shaded region. f(x) = x* - 8x + 21x, g(x) = 6x + 36 (3,54) (-1,30 by -10

A: GIvenf(x)=x4-8x3+21x2g(x)=6x+36To find the area of shaded region from given figure.

Q: Find the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

A:

Q: 18: Find the total area of the region between the functior F(x) = x3 – 4x² + 3x and x-axis from…

A: The given curve is we have to find the area bounded by the region f(x)  and x-axis from [-3,3].

Q: find the area of a parallelogram bounded by the y-axis, the line x=5, the line f(x)= 4+2x, and the…

A:

Q: find the area between y=2x2+9x-5 and y=-X2+6x+1 for x in (-2,2)

A: The given curves are,

Q: Find the area of the region completely enclosed by the graphs of the functions: f(x)=x^3-8x+3 and…

A: fx=x3-8x+3 gx=x+3 find the intersection points x3-8x+3=x+3 x3-8x+3-x-3=0 x3-9x=0 xx2-9=0 xx+3x-3=0…

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…

Q: 5. Find the area of the region between the graphs of f(x) = x3 – 2x2 + x - 1 and g(x) = -x2 + 3x -…

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