2. Suppose that when the area A between the graph of a function y = f(x) and an interval [a, b] is approximated by the areas of n rectangles, the total area of the rectangles is An = 2+ (2/n), n= 1,2,.... Then, A =,

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

A:

Q: 4. If one uses the horizontal strip/element as a representative area, then the infinitesimal change…

A: You have posted the multiple question. I am answering the first one. Please post the question again…

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

A: 'Since you have asked multiple question, we will solve the first question for you. If you want any…

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

A: first we plot the given region then decide how many areas exist

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

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

Q: Use a finite approximation to estimate the area between the x-axis and the graph of f(x)=2x^5…

A:

Q: fV5+ 4x – x² dx

A:

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

A:

Q: Find the global extrema of f(x)=√5−4x on the interval [−1,1].

A:

Q: Find the area between the graph of function and the x-axis over the given interval, if possible.

A: fx=5x-22,  (-∞, 1].

Q: Find the area of the region between the graphs of the functions f(x) = -Vx and g(x) = 2 - x on [3,…

A:

Q: Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the area of…

A:

Q: Find the area between the graph of f (x) = x² – 2x and the x-axis from x = -1 to x =

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: 1. Find the area lying above the x-axis under the parabola y = 4x – x2.

A: The area lying above the x-axis under the parabola y=4x-x2

Q: Approximate the area under the graph of ƒ(x) = 2x + 3 and above the x-axis from x = 0 to x = 4 using…

A:

Q: Compute the area between the x-axis and the graph of f(x)=x(x-1)(x– 2) on [0,3].

A:

Q: What is the area between the graphs of f (x) = 3x + 5, g (æ): -2x – 3, x = 2, and x = 12?

A:

Q: Below is the graph of y = x2 +5. 20- 15 10- -4 -3 -2 -1 2 The area bounded by y = x2 + 5 and the…

A:

Q: Below is the graph of y = x² +5. 141 12 10- 8 6- 4 2- -3 -2 -1 2 The area bounded by y = 22 +5 and…

A:

Q: Find the total area between the graph of the function f(x) = 2 – |x – 1| , graphed below, and the 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: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given Graphs y=x2-3xy=x3+x2-12x First we find point of intersection of graphs…

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: 1) Determine the area of the largest possible rectangle whose base is on the x-axis and the top two…

A: Given the rectangle whose base is lies on x axis and the top two corners lie on the curve y=9-x2

Q: 1. Find the area bounded by the two curves f(x) = x2 - 5 x + 6 g(x) = x + 6

A: Given curves f(x)=x2-5x+6g(x)=x+6

Q: 7. Find the area bounded by the curve y = x² + x + 4, the x-axis and the ordinates x = 1 and x = 3.

A: The area under the curve y=f(x) in the interval a, b is calculated using the formula: A=∫aby dx. We…

Q: 1. Find the area bounded by y = -x' - 3x and y =- 4. |

A: solve the following

Q: 1. Find the area bounded by the curve y = x^2, the x- axis, and the ordinates x = 1 and x = 3.

A:

Q: Below is the graph of y = x² 401 30 20- 10- -1 0 1 3 4 5 6 The area bounded by y = x² + 5 and the…

A:

Q: Suppose that f is a negative function with antiderivative F such that F(1) = 7 and F(3) = 4. What is…

A:

Q: 1. The area bounded by the curves y x2,y 0, x = 2,x = 5 is 39. 2 is 10

A:

Q: Find the area of the region between the graphs of the functions f(x) = -/x and g(x) = 2 – x on [3,5]

A: Given :

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: Consider a graph of f(x)=x3−2x2+2 and f(x)=x. Find the area of the region bounded between the curves…

A:

Q: 3. Find the area between the graph of f (x) = x² – 2x and the x-axis from x = -1 to x = 1

A:

Q: Find the area between the curves defined by f(x) = (x – 1)3 and f(x) = x - 1 -0.5 1.0 1.5 2.0 2.5 -…

A:

Q: What is the area between the graphs of f (x) = 3x + 5, g(x) = -2x – 3, x = 2, and x = 12?

A:

Q: 7. Find the area bounded by the curve y = x e¯** , the x-axis and the maximum ordinate.

A:

Q: (Area Under a Curve)

A:

Q: 5. Find the area of a parallelogram bounded by the y-axis, the line x = 3, the line f (x) = 1 + 2x,…

A: Given:A parallelogram bounded by the y-axis, the line x = 3, the line f (x) = 1 + 2x, and the line…

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: 1.5: The area of the region enclosed by the graph of f(x) = -√x and the x- axis on the interval [0,…

A:

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value…

A:

Q: Find the total area between the curve of the function f(x)=−2x and the x-axis over the interval…

A:

Q: The area under the curve y = 7x bounded by the lines x = 4 and x = 8 above the x – axis is O 336.00…

A:

Q: 7- The area of the (bounded) region between the line y = x quadrant is and the curve y = x² in the…

A: 7) The area of the region between the line y=x and y=x2 in the first quadrant. First we draw the…

Q: Find the area between  F(x) = x^2-5 and the x-axis from x=0 and x=9

A: Given query is to find the area under the curve.

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x over the interval 0, 3 by using…

A: The given function f(x)=9-x2 over the interval [0,3]