Use finite approximation to estimate the area unde the graph of y = 3x² and above the graph of f(x) 0 from xo = 0 to xn = 8 using = a. a lower sum with two rectangles of equal width. b. a lower sum with four rectangles of equal width. c. an upper sum with two rectangles of equal width. d. an upper sum with four rectangles of equal width. Type an integer or decimal.

Q: Calculate the finite area between the curve y = 3x (-x + 1) and the curve y = -3x. These two curves…

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Q: f(x) = 4x² + 5x + 5; [-3, 3]

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Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

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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: 8. Given, h(x) =2 – x and g(x) = -x² + 4 a) Plot the two functions on the same graph for -2 < x <4…

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Q: 1. Approximate the area under the graph of ƒ(x) = x² + 1 from x = −1 to x = 2. a. Sketch the graph…

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Q: (8) Suppose m > 0. Find the coordinates of the points (in terms of m) where y = mx in- tersects y =…

A: Here we have to find the area.

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: Let the region R be the area enclosed by the function f(x) = 2x³ , the horizontal line y = –3 and…

A: Given the region R be the area bounded by fx=2x13,y=-3,x=0,x=3. Visualize the solid: Each…

Q: Graph the function in the given interval. Then find the total area of the region between the curve…

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Q: Use rectangles to estimate the area under the graph of ƒ(x) = 4 − x², above the x-axis and from x =…

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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…