Use the indicated method to approximate the area under the curve f(x)= x³ +28 on the interval [-3, 3]. Assume that the interval is divided into three equal subintervals. Using the right-hand rectangular approximation method, the area is

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

A:

Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Find the area between the curve y=(x-2)(x+3)(4-x) and the x-axis from x = -1 to x = 3.

A:

Q: Estimate the area under the function f(x) = x1/3 between x=0 and x=2 using four rectangles and the…

A: The given problem is to find the area under the function f(x)=x1/3 between x=0 and x=2 using four…

Q: Find the area enclosed between the x-axis, the curve y= (x-15)(7-x)(x+12) and the lines x=-12 and…

A: We have to find the area enclosed between the x-axis, the curve y=(x-15)(7-x)(x+12) and the lines…

Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0

Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

A: