18. DETAILS Find the area bounded by the graph y = -3x2 + 12x and the x -axis. OA. 52 о В. 32 C. 4 O D. 24 O E. 8

Q: 1 2 3 4 6. stimate the area between the given curve and x-axis on the interval [0, 8] by…

A:

Q: 18.Find the area bounded by the graph y = 30x – 3x² and the x – axis. %3D

A:

Q: 11. Find the area of the region bounded byy = (x - 1)² + 1, the x -axis, x = -1, and x = 2. A. -6 C.…

A: Here we are using integration method to find the area of the given region.

Q: 15) When does S, f(x) dx represent the area under the graph of f (x), above the x-axis, between x =…

A:

Q: 9. What is the area of the largest rectangle that can be drawn with one side along the x-axis and…

A: Finding the area of the largest rectangle that fits the given conditions.

Q: How many individual areas in the total area bounded by the curve y=x - 3x² +2x and by the x-axis…

A:

Q: The graph of the area between the curves f(x) = x and g(x) = x^2 on interval [0,2] O. O X & Y in…

A:

Q: 8. Find the area enclosed by the line y=x-1 and y' = 2x+6.

A:

Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x and below by x-axis.

A:

Q: Find the area between the y-axis and the graph X = Y 7 6 5 4 X 543-2/1² 1 2 3 4 5 WŃ y - 1 on the…

A: Here we have to use the concept of integration

Q: 9. What is the area of the largest rectangle that can be drawn with one side along the x-axis and…

A: Consider the provided information, Now, draw the figure of the provided information.

Q: 10. Find the area of the region bounded by the graph of x = y² – 4y – 5 and the y-axis.

A:

Q: Find the area between the graphs of y = x and y = (x – 2)- | O 9/2 O 4 O -9/2 O 1

A: Given: y=x and y=x-22 Now find the point of intersection between the given curve and line. y=x ;…

Q: What is the area between the graphs of ƒ (x) = e* + 1 and g(x) = x +1 onthe interval [-1, 1]? %3D…

A:

Q: 15. Find the area between the curves x = y? - 4 and x = 8- 2y.

A:

Q: 7. Find the area bounded by the curve y = x? +x + 4, the x-axis and the ordinates x = 1 and x = 3.

A: Given; y=x^2+x+4

Q: 1. the bop of y? = x * (3 - x)

A:

Q: What is the area under the graph of y = V X and above the x-axis from x=1 to x=4? Round to the…

A: The area of a graph under a curve and x axis for [a,b] is given by: Plugging the values, the area…

Q: 5. Find the area between x = y + 1, y = Vx and x = 0.

A:

Q: Find the area under the graph of y=ex and above the graph of y=1 for 0 ≤ x ≤ 5.

A: The given function is: y=ex   ;     y=1

Q: = y° and What is the area enclosed between the graphs of 1 = X2 = -3y + 4? Note: Round to the…

A:

Q: 1. the loop of y? = x * (3 - x) %D

A:

Q: 3 Find the area between the curve of X = and the y-axis on the interval [2, 5]. 2.749 3.296 4.159…

A:

Q: Calculate the exact area bounded by the x-axis and the graph of y=10−7x+x^2

A:

Q: 5. What is the area enclosed by the graph of y = x? + x - 2 below the x-axis?

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

Q: 8 Find the area that is inside r=H+20in e and auturide rG - nin E.

A: To find: The area that is inside r=4+2sinθ and outside r=4+2sinθ. Calculation: First shade the…

Q: 4) The area between y= In x and y = 2ln x up to x= e is:- A) = 7 B) = 1

A:

Q: 31. Find the area bounded by the parabola y-3x +3 = 0 and the line x 4. %3D y-axis X-axis 1

A:

Q: 10 Determine the area above f(x)=x²+2x+3 and below the line y=11.

A:

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54…

A: The area formed is of trapezium

Q: 1. Find the area bounded by a curve y? = 9 - x and the y - axis. %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on…

A: Given y-axis and x=1y2 on the interval -1,-3

Q: Find the area inside the graph of r = 5 − 4sinθ and the below the x-axis .

A: Given- r=5-4sinθ. To Find- The area inside the given graph of the above expression and the below the…

Q: 2. Find the area between between x = 0 and x =9. y=√x-10 and y=0 10

A:

Q: 10. Find the area bounded by y = x and x? - 2x – y = 0.

A:

Q: 17) This is the graph of r=4 Find the area inside the curve.

A:

Q: 4) The area between y = In x and y = 2ln x up to x= e is:- = 7 A) B) = 1

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: What is the area of the region bounded by the graphs of y = x³ – 2x² + 1, x = 1, x = 3 and the…

A:

Q: 2 Sketch the graph of y = 0.5x +2. Find the area between your line, the x-axis and the lines x = 0…

A: The slope-intercept form of a line is given by the equation y=mx+c. Here, m represents the slope…

Q: Find the area between the curve y = x2 + 10x + 24 and the x-axis from x = −4 to x = −1.

A:

Q: 13. Find the area bounded by y = -x + 3 and x = 9- y2 13

A:

Q: 7. What is the area bounded by the curve y=x and the line x-4=0? A. 10 32 B. 3 C. 32 D. 11

A:

Q: (3) Theorem: The area between the curves y = f(x) and y g(x) and between x = a and y = b is A =…

A:

Q: 27. Estimate the area under the graph in the figure by using (a) the Trapezoidal Rule, (b) the…

A:

Q: approximate the area under the graph of ƒ(x) and above the x-axis using the following methods with n…

A: given: fx=3x+2from x = 1 to x =3

Q: (3) Theorem: The area between the curves.y = f(x) and y = g(x) and between x = a and y = b is A =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the area between the curve and the x-axis over the indicated interval. y = 6 x 10 [1, 10] The…

A: See this solution in below

Q: 10. Find the area between the graph of y = and the x-axis for x E [0, b|] where b is a (2x² + 1)²…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 4 Find the area of the region bounded by x = 2y² +1 and the y-axis using the horizontal strip.

A:

Q: 5. Find the area bounded by the curve y e, x- axis and y- axis. С 2 A 0 В 1 D Infinity

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.