Determine the surface area generated when a portion of the curve in the first quadrant of 4 y2 = 4 +x2 is revolved about y = 0 from x = 0 to x = 6.

Q: Area of a regim enilosed is by Curves y= 12 and

A: To find the area enclosed by the given two equations

Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

A:

Q: Evaluate ∫ C ( 2 + x^2 y ) d s , where C is the upper half of the unit circle.

A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

A:

Q: Write an equation that represents the area of the cross section obtained when a horizontal plane…

A:

Q: Find the area of the segment cut from the curve y=x (x-3) and the ordinates x=0 and x=5

A:

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: a. у 2 1 0 y = /4 - x X

A: The area between the curves y=4-x, y=1, x=0

Q: Find the distance from the point (4, 9) to the line y = 2x.

A:

Q: Sketch the curves 1.) y = 3+4x-x2

A: the equation of the curve is: y=3+4x-x2 we have to sketch the given curve.

Q: Sketch the curve y cu. = x sq.

A: Given the curve is y3 = x2 Put random value in the curve and we get the table which help to trace…

Q: C. ОЛ |y=x² y = x(4-x) + X d. y 0 y = sin x y = cos x X

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units

Q: Find the standard form of the equation of the circle tangent to both axes at (-3,0) and (0,3).

A: Given that: The circle is tangent to both axes at (-3, 0) and (0, 3)

Q: find the arclength of y= 9-x° between its x-intercepts

A: Find the x-intercept.