4. Find the area of the region bounded by f(x) = (x + 8)(x + 2)(x - 6), x axis, and the interval [-8, 6].

Q: Find the area of the region between the graph of y=x+2, above x-axis, and between the lines x= -1…

A: Given:

Q: Use the Midpoint Rule with  n = 4  to approximate the area of the region bounded by the graph of…

A: Given:    Approximate using mid point rule:∫04x2+4x dx ,  n=4

Q: Determine the area of the given region. 1. Region between f(x) = x - 3x – 4 and the x-axis from x =-…

A:

Q: Find the area A of the region between y = 4x2 + 10 and y = 2x + 7 over the interval [-3, 2].

A:

Q: determine the area in square units, of region bounded by f(x)=-5x^3-3x^2-7x+4 and…

A:

Q: What is the area of the region between the graphs f (x) = 3x – x and x – axis from x = 0 and x = 2 2

A:

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

A: We have to use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the…

Q: find the area of the region bounded by the functions f(x)=−13x+2 and g(x)=2x−1 over the interval…

A: The given functions are: fx=-13x+2, gx=2x-1 over that interval -2,1 Calculate the area of the region…

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

A:

Q: In the given question , use the Midpoint Rule with n = 4 to approximate the area of the region…

A: We have to use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the…

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

A:

Q: Determine the area, in square units, of the region bounded by f(x)=10x3+x2−21x−9 and…

A: The region bounded by the curves, fx=10x3+x2-21x-9 and gx=9x3+x2-5x-9 over the interval [2,6].

Q: 8. Find the area of the region bounded by the graph of f(x) = 8 – x², the x-axis and the vertical…

A: Draw a schematic graph and area under the curve of given question,

Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

A:

Q: 7. Find the area of the region bounded by the graph of y= 2x-3x+2, the x-axis, and the vertical…

A:

Q: What is the area of the region between y3Dx^2-2x-3 and the x-axis from x-D0 to x-6?

A:

Q: 3. Find the area of the region bounded by y=x²-2x +2 and y=6-x².

A: Use area under curve

Q: Find the area of the region under the graph of f (x) = 4 − x2 over [0, 2].

A:

Q: 16. Between f (x)=x +2x and the x-axis on [3,4].

A: we have to use the limit process to find the area of the region between fx=x2+2x and the x axis on…

Q: What is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis…

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: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

A:

Q: Find the area of the region bounded by f(x) =|x^2−5x+ 6|, the x-axis, and the lines x=1 and x= 4.

A:

Q: 3. a. Find the area of the region bounded by y= 2x2 + 10, y = 4x + 16, x = -4 and x = 5.

A: As per bartleby guidelines we only give first question answer.

Q: 2. Find the area of the region bounded by y = 2x² +10, y = 4x+16, x = -2, and x = 5.

A: first draw bounded region then find limit of region and using vertical strips find the area

Q: Find the area of the region bounded by the graphs of f(x) = x³ – 3x + 2 and g(x) = x + 2.

A: Given functions are fx=x3-3x+2,gx=x+2. Graph the given functions as shown below. From above graph,…

Q: Find the area of the region that is completely bounded by the two curves f(x) = x* g(x) = 3x + 20. -…

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 region bounded by y = -4x + 9, y = 2x? – 11x + 9, and the lines x = -2 and x =…

A:

Q: 1. Determine the area of f (x) = 3 + 2x – x² and above the x axis. - X - 3x 3 3 2. Determine the…

A: To find the area of f(x) and above the x-axis, use the formula, A=∫-13f(x)dx and substitute f(x)…

Q: Find the area of the region bounded by thegraph of ƒ and the x-axis on the given interval.Ƒ(x) = x2…

A:

Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

A:

Q: The region bounded by f(x) = (x + 1)-³ and the x-axis on the interval [0, ∞) is revolved about the…

A:

Q: Find the area bounded by the function f(x) equals .3x^3-1.5x^2+19 the X axis and the lines X=2 and…

A: We will find out the area under the curve.

Q: Find the area of the region bounded by f(x)=-x^2+1, g(x)=2x+4, x=-1, and x=-2.

A:

Q: 6. Find the area of the region bounded by the two curves of equat rens a) x=3-y² and f(x)= 3x (スー2)-…

A: Note:- In Part (a), you mention f(x) for 2nd curve but it is not mentioned for first curve. If i…

Q: Find the area of the region bounded by f(x)=X^2-4X +3 the X axis in the lines X=2 and x=6

A: We will find out the area of the region.

Q: The exact area of the region bounded by the graphs of y = x² + 2, and the x – axis from x = -1 to x…

A: Given graph of y=x2+2we need to find the area of the graph and the x-axis from x=-1 to x=2

Q: 2. Find the area of the region bounded by x = y² - 4 and x = 3y.

A: Given query is to find the area of the region bounded by x=y2-4 and x=3y. The rule for integration…

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 of the region between the curves y=x2-1 and y= - 2x² +2 from x= - 1 to x=1.

A:

Q: Consider the region bounded by F(x)=10x3 +7x2 -7x +6 and g(x)= 9x3 +8x2 - x +6. Find the area, in…

A: Given query is to find the area bounded by the curves for the given intererval.

Q: Find the area of the region bounded by the graph of y = 2x2 − 3x + 2 the x-axis, and the vertical…

A:

Q: R is the region bounded by y = -x² – 3x + 6 and x + y – 3 = 0 and it is revolved about x = -4.

A: Given that, R is the region bounded by y=-x2-3x+6 and x+y-3=0 and it is revolved about x=-4

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: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

A:

Q: -. Find the area of the region between f(x) = 1-x² and g(x) = x + 3 on the interval [-2,2] 0 2

A:

Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: 2. Find the area of the region bounded by f(x) = 3x³ - x² - 10x and g(x) = 2x – x². %3D

A: