Find the area under the graph of f over the interval [0,4].
f(x) = x^2 for x< or equal to 2
20-4x for x>2
Find the area under the graph of f over the interval [0,4]. f(x) = x^2 for x< or equal to 2 20...
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...
Estimate the area of the region bounded by the graph of f(x)-x + 2 and the x-axis on [0,4] in the following ways a. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum· illustrate the solution geometrically. C. Divide [04] into n = 4 subintervals and...
Book: Calculus and its applications 9th edition Bittinger and EllenbogenChapter 4.1 Problem 24a) Approximate the area under the graph of f(x)=x^2+1 over the interval [0,5] by computing the area of each rectangle and then the adding. Problem a graph has pointsat 0,1,2,3,4.. The graph has an f(4)b) Approximate the area under the graph of f(x)=x^2+1 over the interval [0,5] by computing the area of each rectangle and then adding. Compare your answer to that ofpart (a). Problem b graph has...
Approximate the area under the graph of f(x) = 0.02x^$ -2.25^2 +91 over the interval [6,10] by dividing the interval into 4 subintervals. Use the left endpoint of eachsubinterval.a) The area under the graph of f(x)= 0.02x^4 -2.25x^2 +91 over the interval [6,10] is approximately __________________>(SIMPLIFY YOUR ANSWER. TYPE AN INTERGER OR DECIMAL)
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...
Find the area of the region under the graph of the function f on the interval [2, 7].f(x)= 4x-2
2. (Section 4.2) Given f(x)-x on the interval [0,4], complete the following (a) Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. b) Find the number c that satisfies the conclusion of the meat value theorem on the given interval. (c) Sketch a neat, clearly labeled graph with the function, the secant line that goes through the end points, and the tangent line at (c./(c)) all on the same coordinate grid (d) Are...
Find an approximation of the area of the region R under the graph of the function f on the interval [1, 3]. Use n = 4 subintervals. Choose the representative points tobe the right endpoints of the subintervals.f (x)= 2/x
Estimate the area under the curve f(x)=x^2-4x+5 on [1,3]. Darw the graph and the midpoint rectangles using 8 partitions. Show how to calculate the estimated area by finding the sum of areas of the rectangles. Find the actual area under the curve on [1,3] using a definite integral.
Find the area under the graph to the x axis from -2 to 2 forf(x) = (4 - x2)^(1/2) . Round to two decimal places.
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