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1)Find the area of the region bounded by the curves y = x^2 + 1 and y = 2. 2)Fin

ID: 3288271 • Letter: 1

Question

1)Find the area of the region bounded by the curves y = x^2 + 1 and y = 2. 2)Find the area of the region bounded by the curves y = x^2 and y = x^4. 3)Find the area of the region bounded by the curves y = x and y = sin(x) and the lines x = 0 and x = pi/2 4)Use the Trapezoidal Rule with n = 2 to approximate the integral(1,0) x^3 dx? 5)What is the upper bound for the error in approximating the integral (1,0) x^3 dx by using the Trapezoidal Rule with n = 2. 6)How large should n, the number of intervals, be in order to guarantee R that the Trapezoidal Rule approximation for Integral (1,0) x^3 dx be accurate to within 0.0001? 7)Use Simpson

Explanation / Answer

1) 1.33 ,,,,,,,,,,,,2) 0.666 ,,,,,3) 0.2333