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

Q: Let f(x) = 8 + 2x2. (a) Estimate the area under the graph of f, the x-axis, and the lines x = −1 and…

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Q: Estimate the area under 3x+1, using R4, from 3 to 5

A: Given: f(x)= 3x+1 using R4, from 3 to 5.

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: 4. Area Estimate vs Actual a) Estimate the Area beneath f(x)=-x' +18x² – 8x + 20 on [4,12] using 5…

A: Given that the function is fx=-x3+18x2-8x+20 on 4,12. It is required to find the estimated area and…

Q: Find the area of the shaded region. f(x)=x4-12x³ +48x², g(x) = 44x + 105 Ay 340- (-1,61) -4 f…

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Q: a) Estimate the area under the graph of  f(x) = 7 + 4x2 from x = −1 to x = 2  using three…

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Q: Estimate the area under the graph of f(x) = √x + 4 over the interval [−4, −2] using eight…

A: fx=x+4 To find: The area under the graph fx=x+4 over the interval -4,-2 using the midpoint formula…

Q: Determine the area, in square units, bounded above by f(x)=−x^2−10x−16 and g(x)=2x+16 and bounded…

A: Given that fx=-x2-10x-16gx=2x + 16 The objective is to find the area of the region which is bounded…