Given the following data points, fill in the estimates of the integral that each method predict (use 2 decimal places) x f(x) 0.5 9.5 1.0 11.0 1.5 12.0 2.0 12.5 2.5 12.5 Rectangular rule estimates that the integral = Trapezoidal rule estimates that the integral = Simpson's 1/3 rule estimates that the integral = (2 decimal places) (2 decimal places) (2 decimal places)

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A: Geometric Series∑n=1∞a⋅rn−1 Converges if and only if −1<r<1∑n=1∞a⋅rn−1=a1−r

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A: Given: To find: evaluate the integral.

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A: we have given function

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A: Formula for area of sector of a circle is given by               Where

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A: To find the value of  that makes the antidifferentiation formula true.

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Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C"(x) = 40x + 710…

A: C′(x)=40x+710C(12)= 11700

Q: #1.) cotxdx √9-in sinx ત્ર

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A: The definite integral  can be written in a limited form on the interval [a,b] as

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A: From this picture, we can easily get the required traces

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Q: Each of the regions A, B, and C bounded by the graph off and the x-axis has area 3. Find the value…

A: Each of the regions A, B, and C bounded by the graph of and the x-axis has area 3.To find the value…

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A: use the mean value theorem to prove the questions

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