Determine the two​ t-values that divide the area under the curve into a middle 1−α area and two outside α2 areas.

Q: find the area between the graphs of y = (x + 1)* and y 3z +1. a)1, b) 3.

A:

Q: 2y? and x = 4 + y²

A:

Q: Find the area of the region between the curves y=x²-1 and y=-6x²- +6 from x= -1 to x = 1. The area…

A: Area between two curves y=f(x) and y=g(x) from a to b is A=∫abfx-gxdx where fx≥gx ona,b We are given…

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.

A: so we have and the other function is

Q: Find the area included between x + y* = 4x and y = = x above x-axis.

A: Consider fx and gx be two functions between a,b and fx≥gx .Then area between graph of these two…

Q: Find the area of the region enclosed by the curves x = 1 - y² and x = y² – 1. Make sure you label…

A: To find the area of the region enclosed by the curves x=1-y2  and x=y2-1.

Q: Find the area bounded by the curve y? 4x and the lines x=1 and x=4.

A: Area bounded by a curve y=f(x) and the lines x=a and x=b is given by, A=∫abf(x)dx  We know, ∫xndx=…