Consider the region between the curve y = x² and the x-axis between a 0 and a = 1. This region is rotated about the x-axis. Find the surface area of the curved surface (not including the right side end plate). You can use integral table for the integral. 1.5 1 0.5 -1 0.0 -0.0 0.4 1.2 1.4 16 18 -0.5 1.5

Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: 1. Find the area between y intersection points. = 3x²+2x+1 and y = 7x+2. Use technology to find the

A: Area = 4.1678 square unitsExplanation:Given curves:y=3x2+2x+1y=7x+2 The curves can be plotted as…

Q: Xy =1 y=x, x-2 , y=0

A:

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square…

A: Given the curve y2=4x and the lines x=1 and x=4

Q: Sketch the region bounded by the graph of the equations and find the area of the region. x = y² -…

A: Solution

Q: Find the area between y = 1.5x + 5 and y = x² - 2. The -2 and x = 3.5. graphs intersect at x = − -4.…

A: The equation of curves are y=1.5x+5 and y=x2-2

Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis b. the…

A: We have to find the area of the region bounded by the curve y = x³ - x² - 2x A) the x-axis b) the…

Q: Calculate the surface area if the curve y = 3sqrt(x) is rotated about the x-axis.

A:

Q: Find the area of the shaded region. y 3- 2 X = y' - 5 y = 1 x = e -6 -4 -2 2 4 y = -1 2

A: