Find the area of rotating face farmeal by rotading given by thepart 아 the curve y =Inx, 1

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 the tangent line to the curve of intersection of the surface z = x² - y² with…

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Q: y=csinx  Identify the curves that intersect the curves under a right angle.

A: Given- y = c sinx To find- Identify the curves that intersect the curves under a right angle.

Q: Let the region R be the area enclosed by the function f (x) = x³ + 2 and g(x) = x + 2.Find the…

A: Given functions are, fx=x13+2   gx=13x+2 To find the point of intersection of these functions by…

Q: a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t,…

A: Given, a projectile launched at t = 0 second that follows a path x=30t, y=-5t^2+80t where x…

Q: What is the area of the largest triangle in the first quadrant with two sides on the axes and the…

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Q: Trace the curve: r^2 = 4cos^4ꝋ tan^2ꝋ

A: The equation given in the question be, r2=4cos4θtan2θ Take square root on both sides implies,…

Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…

Q: ind point P and Q on the parabola y=(-x^2)+1 so that the triangle ABC formed by the x-axis and the…

A: Given that the curve is                         To find point P and Q on the given parabola, so that…

Q: Eliminate the parameter t to find a Cartesian equation of a curve. x = 1 + 3t,  y = 2-t^2

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Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: f (x) = esin(x²), [0,3]

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Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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