Find the area bounded by x = y + 2, x = 1 - y^2, and the lines y = 1 and y = −1. *

Q: Plot the function f(y) =2y^2 − 2y and f(y)=12y^3-12y^2 and find the total areas of the shaded…

A: Graph of functions

Q: Determine the concavity of the graphs of y^2=x and y=x^3

A: We have to determine the convexity of the graphs of y2 = x and y = x3 in between the points of their…

Q: Find the area delimited by the functions f (x) = 9x ^ 3-13x-3; y g (x) = 8x ^ 3 + 3x-3

A: The graph is:

Q: Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph…

A:

Q: d.x

A: Substitute u=x2

Q: (7) Determine the upward flux of ▼ × F through the part of the elliptical cone C = {(x, y, z)|z = 2…

A:

Q: Find the area between y = 6 - ² and y = x² 2 -5 -4 N 8+ 7 3 2 -1 -2 -3 The area between the curves…

A: The equation of curves are given y=6-x2 and y=x22-4

Q: Find the areas enclosed by the following curves: (b) y = x4 – 4x² + 4_and y = x² y = x? 57 3- y = x*…

A:

Q: the shaded area shown in the figure is bounded by the line with equation y = 12-7x-x² and the line…

A: given functions are                                              y=12-7x-x2, y=4…

Q: Let a = x²dy + e³dz and ß = xydz. Calculate a ^ ß and da and dß

A: 1.Let us write the wedge formulas for 1st forms.The above formula is written based on the wedge…