(b) Find the area of the region between the x-axis and the graph of f(x)=3x² - 3, where -2

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

A:

Q: Consider the region bounded by the graph of y = 4x + 3, the x-axis, and the lines x = 2, x = 7. A…

A: Given area bounded by the curve y=4x+3, x-axis and the lines x=2, x=7

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: Find the area of the region bounded by the graphs of the equations: f (x) = V5x – 10 g(x) = 2x – 4

A:

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 total area of the region in the second and third quadrant bounded/enclosed by the graphs of…

A: solution:−f(x)=x3+6x2+9x+2 g(x)=x+2 g(x) cross f(x) at x=−4, −2 and 0as shown in graph

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: Suppose we want to know the area of a region that is bounded by the graph of F(X)=1/2x+2 and the…

A: Consider the given curves.

Q: Estimate the area between the x-axis and the graph of f(x)=9−x2f(x)=9-x2 over the interval…

A: We will use rectangle's formula to evaluate the area of curve

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

A:

Q: f (x) = x² + x – 6 - 6

A: By using area bounded by curve formula, we calculate the required area.

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

A:

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: What is the area of the region enclosed by the graphs of f (x) = x – 2x² and g (x) = –5x?

A:

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: 2. The region between the graph of y = 4 - x² and the x-axis.

A:

Q: Consider the region bounded above by f(x)=7x2+3x−45 and below by g(x)=8x2+22x+45. Find the area, in…

A: The given functions are,

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

A:

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

A:

Q: Find the area of the region between the x-axis and the graph of y=x - 3x + 2x, where 0< x<2

A:

Q: What is the area of br^2 of the region bounded by

A: The given question is taken from the calculus in which we have to find the area bounded by the given…

Q: Find the area of f(x) = 3 +2x – x² above the x-axis.

A:

Q: 2. Determine the area above f(x) = 3x² + 6x - 9 and below the x-axis.

A:

Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.

A: Given y2=5-xy2=4x

Q: Q1: Find the area of the region between the x-axis and the graph of y = x' - 3x² +2x, where 0<x<2

A: Draw the graph and integrate with proper limits to get the area under the curve.

Q: the area of the region bounded by the graphs of y2 = 5 - x

A:

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

A:

Q: Find the area of the region bounded by the y-axis, the line x = 3, and the functions f(x) = 1/2 (x^2…

A: Consider the functions fx=12x2-3x+10 and gx=-13x-1 Find area of region bounded by the y-axis x=0 and…

Q: Use the left endpoint and 10 rectangles to find an approximation of the area of the region between…

A:

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: (b) Find the area of the region between the x-axis and the graph of f(x)=3x² – 3, where -2<xs2

A: The given graph is: fx=3x2-3, -2≤x≤2 The region is between this graph and x-axis.

Q: Sketch the region bounded by the graphs of the equations f(x) = x5 + 2,      g(x) = x + 2 and find…

A: Consider the given equations, fx=x5+2 and gx=x+2 the graph of the equations on the same coordinate…

Q: The total area bounded by the graph of y =r 2. 1 and the x-axis is represented by

A:

Q: (b) Find the area of the region between the x-axis and the graph of f(x) = -x - 2x, where -3s x<2

A: Explanation and solutions is given below....

Q: Q1: The area of the region bounded by the graph of y=-0.5x+4and y=3x in first quarter.

A:

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

A:

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

A:

Q: 5. Find the area of the region that is enclosed by the graphs of the functions: y=-x? - 3x + 4 and…

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 the region bounded by the graphs of the given equations. b) f(x)=2x2-6x+5,g(x)=x2+…

A: See below the answer and calculation

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

A: To find the area of the region bounded by the graphs of fx=2x2-6x+5, and, gx=x2+6x-15.