Compute the surface area of revolution about the x-axis over the interval. y = x', [0,5] (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Q: Find the dot product of TH x = and y = 3

A: To find the dot product of two vectors, you multiply the corresponding components of the vectors and…

Q: Find the area of the surface obtained by rotating the line y = 19x + 6 about the x - axis from the…

A: Area of surface is evaluated.

Q: Find the area of the surface obtained by rotating the curve y = 9x', 0 < x < 10, about the y-axis.…

A: The complete solutions are given below

Q: 6) Consider the (cycloid) curve given by parametric equations x = t- sin t y =1-cos! 0sis27 Find one…

A: Definition used -           Area between the curve when equations are parametric -…

Q: Find the area of the region inside 2 petals of the rose r = sin 80

A: Solution :-

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: Determine area under curves y = x2 + 3 and y = 7 - 3x. Show with sketch

A: Topic = Application of integration

Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

A:

Q: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

A: