Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve x² 36 27T y = 1 - (C Need He 0≤x≤6 X dx = the indicated interval about the y-axis.

Q: suppose A is a positive real number, determine the area of the traingle enclosed by the lines x=0,…

A:

Q: %3D Ex 4: -Find the area bouinded by the curve y = x² and the line y = x.

A:

Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x)…

Q: E.X; Let T = {E₁ = (-∞,a): a = R}U{R,Ø} be a topology on R and let A = [2,3), B=(3,4), C = (1,5], D…

A: It is given that,  T = Ea=-∞, a : a∈ℝ∪ℝ, ∅ is a topology on ℝ. We have to find the closure of the…

Q: 6. 2x² 11+x²³ Find the area in square units, between the curve y=- x=2 to x = 5. and the x-axis,…

A:

Q: 6. Find the area enclosed by the curve x² + 8y + 16 = 0 the x-axis, the y- axis and the x-4 = 0…

A:

Q: (8) Suppose m > 0. Find the coordinates of the points (in terms of m) where y = mx in- tersects y =…

A: Here we have to find the area.

Q: Sketch the cunves x= 6-y and x t3y = 2 cnd fnd the Aea encbsed.

A:

Q: 2. Find the area enclosed between the curves y =x² +2x +11 and y =-4x+2.

A:

Q: Q1/ Find the value of the integral dz. where y is the circl

A: Integration of complex valued function