Using rectangles whose height is given by the value of the function at the midpoint of...
3.1. Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using two and then four rectangles y=9-xbetween x = -3 and x = 3
Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x)-2-x-1,1 (a) The approximated area when using two rectangles is square units (Type an integer or decimal rounded to two decimal places as needed.) (b) The approximated area when...
Mylab € →XCO @ MATH 169: Mühendislik ve Fen Bilimleri için Analizi Test: Final This Question: 6 pts 10 of 14(12 complete Using rectangles each of whose height is given by the value of the function at the midpoint of the rectangle's base (the midpolete) imate the under the graph of the following terdirinys and the con on x3 andx=1 Using the rectangles the estimate for the area under the curves (Round to the decimal cas ded) Using four rechange...
under the Curve 2. Let y e2". a) Using 4 rectangles of equal width (Δ 1)and the rightendpoint of the subinterval for the height of the rectangle, estimate the area under the curve on the interval [0,4]. Then sketch a graph of the function over the interval along with the rectangles. b) Using 4 rectangles of equal width (Ax 1)and the left endpoint of the subinterval for the height of the rectangle, estimate the area under the curve on the...
full steps and how to solve please
1. Let y-x'. a) Using 4 rectangles of equal width (Ar-2 )and the right endpoint of the subinterval for the height of the rectangle, estimate the area under the curve on the interval [0,8. Then sketch a graph of the function over the interval along with the rectangles. b) Using 4 rectangles of equal width (Ax 2 and the left endpoint of the subinterval for the height of the rectangle, estimate the area...
Approximate the area under the graph of F(x)=0.7x3 +7x2-0.7x-7over the interval [-9,-4) height of the rectangles using 5 subintervals. Use the left endpoints to fird te The area is approximately (Type an integer or a decimal)
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 x-axis over the given interval. (Round your answers to four decimal places.) g(x) = 2x² + 2, [1, 3], 8 rectangles _______ < Area <_______ 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...
Consider the following. (a) By reading values from the given graph of f, use five rectangles to find a lower estimate for the area under the given graph off from x = 0 to x = 10. (Round your answer to one decimal place.) 10 Sketch the rectangles that our USA By reading values from the given graph of f, use five rectangles to find an upper estimate for the area under the given graph of Ffrom x = 0...
Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed. f(x) = x2 + 2, between x = 2 and x = 6 using an upper sum with four rectangles of equal width.
Use finite approximation to estimate the area under the graph of f(x) = x² and above the graph of f(x) = 0 from Xo = 0 to x = 4 using i) a lower sum with two rectangles of equal width ii) a lower sum with four rectangles of equal width ii) an upper sum with two rectangles of equal width iv) an upper sum with four rectangles of equal width The estimated area using a lower sum with two...