A cubic curve has zeros 4, -5 and 6. Determine the orthogonal trajectory of this cubic curve at a y intercept of 120.

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Q: Determine the latera recta length of the curve 9x² + 25y² - 225 = 0

A: Solved below

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A: We have the following information    We have to plot the points A = ( - 1, 8) and M = (2, 3) in…

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Q: Find the curve in the xy-plane that has a slope at each point given by 1 and passes through the…

A: See attached file for a step by step explanation.

Q: Find the exact length of the curve. y = 4 + 6x3/2, 0 < x < 1

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Q: Evaluate the length of the curve x = 5 - y+1,0<y<3

A: Given, x=5-y+1 ,     0≤y≤3

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Q: Find the exact length of the curve. y = 5 + 8x3/2, osxs1

A: Given: y=5+8x32,   0≤x≤1

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Q: Find the exact length of the curve. =글Vy (y-3), 16 <y< 25 X =

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Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0< x < 1

A: Given: y=fx=5+2x32, 0≤x≤1 we know that lengthL of curve in interval a,b is given by L=∫ab1+f'x2dx…

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Q: (b) Eliminate the parameter to find a Cartesian equation of the curve.   for  −5 ≤ y ≤ −1

A: The parametric equation of curve are x=1-t2 y=t-3

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Q: Find the exact length of the curve. Vy (y - 3), 16 < y < 25 X =

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Q: (a) The curve with equation 2 y 3 + y2 - y 5   = x 4 -2x3  +x 2  has been likened to a bouncing…

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Q: Find the orthogonal trajectory of the family of curves x² + y² Cx

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Q: 3. Determine the orthogonal trajectory of the family of parabolas x² – y + 32x = ketch some of the…

A: The given parabola is x2-y+32x=0 ........................ (1)  Differentiate with respect to x,

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Q: Find the exact length of the curve.   y = 1+ 6x3/2 , 0 ≤ x ≤ 1

A: Find the exact length of the curve.

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Q: Find the lines tangent to the ellipse x2/4 + y2/9=1 that contain the point (4, 0).

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Q: Find the exact length of the curve.y = 1 + 4x3/2, 0 ≤ x ≤ 1

A: Given curve is

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A: integration

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A: xy=C,  x2-y2=K Consider, xy=C Differentiating with respect to x, we get…

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Q: (a) Find the involutes of straight line.

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Q: A circle has a center at the origin and has a radius of R. If x = 10 and y = 20, determine the slope…

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Q: A curve C has equation y =x2lnx- 2x +5, x > 0. %3D For which values of x, the curve C is convex?

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Q: i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Evaluate the length of the curve y = 3 + 3Vx +1 , 0<x< 3

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Q: Find the paths orthogonal to the family of curves: cy ^ 2 = xe ^ x

A: Orthogonal path is a curve if it cuts every member of a given family of curves at right angles.