Use rectangles to estimate the area under the graph of ƒ(x) = 4 − x², above the x-axis and from x = 0 to x = 2 by dividing the interval [0, 2] into four subintervals. Compute the left sum L4: use the function values at the left-end point of the each subinterval for the height of the rectangle. Shade the rectangles. Is L4 an underestimate or overestimate of the true area? 3 2 Y 0 1/2 1 3/2 x Compute the right sum R₁: use the function values at the right-end point of the each subinterval for the height of the rectangle. Shade the rectangles. Is R4 an underestimate or overestimate of the true area?

Q: Using 3 rectangles and left endpoints, the area under the graph of the function f(x)=1+x² from x=0…

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Given

Q: Estimate the area under the graph (sqr-root):x+4 over the interval [-4,12] using 8 approxiamating…

A: Given function: Width of each interval = (12-(-4))/8= 16/8= 2  So the partition is -4, -2, 0, 2, 4,…

Q: Find the area under the graph of y = 2x² - 2x + 4 on the interval [-2,0].

A: y=2x2−2x+4 on the interval [−2,0]

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: Estimate the area under the graph of f(x) = 1 + x 2 from x = −1 to x = 2 using three rectangles and…

A: To find the area under the graph of f(x)=1+x2 from x = −1 to x = 2 using three rectangles and right…

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: The formula for left Reimann sum is A=Δxfx0+fx1+fx2+fx3+fx4+fx5 for n = 6. The formula for right…

Q: Estimate the area under the graph of f(x) = 0.5x2 + 1 over [0, 6] and n = 6

A: Given: f(x) = 0.5x2 + 1 over [0, 6] and n = 6