calculus
posted by Courtney .
Approximate the area in the first quadrant between the xaxis, the yaxis, the line x = 3, and the function f(x) = x^2+1
For this approximation, you must use 6 rectangles of equal width, and this must be a lower sum. In your answer, you must include letters ad below:
a. The width of your rectangles
b. The six areas, one for each rectangle, written as a sum (for example, you might write 2 + 3 + 4.5 + 6 + 6.5 + 8)
c. The total area you approximated
d. Answer this: is your approximation greater than, exactly equal to, or less than the true area?
Respond to this Question
Similar Questions

Calculus
I am doing the AP calculus review, these are the questions I have no Idea on how to do: 1. if 0<= k <=pi/2 and the area under the curve ycosx from x=k to x=pi/2 is 0.2, then k= 2. let F(x) be an antiderivative of (ln x)^4/x … 
Calc
If the integral of (x^2  2x + 2)dx from 0 to 6 is approximated by three inscribed rectangles of equal width on the xaxis, then the approximation is equal to what? 
Calculus
Use a graphing calculator to graph f(x)=x^46x^3+11x^26x. Then use upper sums to approximate the area of the region in the first quadrant bounded by f and the xaxis using four subintervals. 
calculus(Lab)
Well, first graph the graph of f(x)=1/10x^2 + 3 2. We are going to approximate the area between f and the xaxis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first quadrant, … 
Calculus AB/AP
Use the rectangles with the given dimensions to approximate the area of the region in the first quadrant bounded by the graphs of y = 4 – x2 , y = 0, and x = 0. 4 _ 3_. 2_. 1___ ____ 1 2 
calculus
Use left endpoints and 9 rectangles to find the approximation of the area of the region between the graph of the function cos2x and the xaxis over the interval [0, pi/2] . Round your answer to four decimal places. 
Calculus
A rectangle has one corner in quadrant I on the graph of y = 9 − x^2,another corner at the origin, and corners on both the positive yaxis and the positive xaxis. As the corner on y = 9 − x2 changes, a variety of rectangles … 
calculas
Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the xaxis over the given interval. (Round your answers to four decimal places.) … 
Math
An area is bounded by the xaxis and the parabola y = 16  x^2. Use four rectangles of equal width and the midpoint approximation method to estimate the bounded area. Could you please show me how to work out this problem? 
Math
Use three rectangles of equal width and the left endpoint approximation method to estimate the area enclosed by the xaxis, the lines x = 1 and x = 4, and the curve y = x^(1/2). Could you please help me understand how to do this?