Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

Q: Determine arc length of the graph of the equation (y-1)3  = x2 where the interval is [9,11].

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Q: Find an equation of the line tangent to the graph of y = exat x = 0.

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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: Plot the curve x³ + y3 = 6xy together with the tangent to the curve at the point

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Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

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Q: Find the length of the arc of this curve and Sketch the curve y cu. = x sq.  from ( -1,1 ) and ( 8,4…

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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: Find the angle between the curve 2y=e-x/2 and y-axis

A: we will see in next step

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 arclength of y= 9-x° between its x-intercepts

A: Find the x-intercept.