Which of the following gives the length of the curve y x2 + 2x from x = 0 to x = 5 ? (x2 + 2x) dæ I V1+ (2z + 2)ďæ B + (2x + 2)²dx 5 1+ (æ² + 2æ)°dæ

Q: Find the length of the curve defined by Y = 3x³/2 + 3 from x :3 to x = 9.

A: Question: Find the length of the curve defined by y= 3x^3/2 + 3 From x=3 to x= 9

Q: Find the equation of the line tangent to the curve 8x4 + 8y² = 16 at the point (1, 1).

A: To find the equation of the line tangent to the curve 8x4+8y2=16 at the point 1, 1.

Q: Consider the following curve: x? + y2 - 4x = 8xy² +92 An equation of the tangent line to the curve…

A: Our Aim is to find an equation of the tangent line to the curve given by:-x2+y2-4x=8xy2+92 -(i) at…

Q: Calculate the distance between the following lines.

A: Arrange the given lines in standard Cartesian form.

Q: Find the length of the curve r = 02 from 0 = 0 to 0 = 14.

A:

Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…

Q: ind the lenght of the curve y= 3/5x5/3-3/4x1/3+6 for 1 inferior or equal of x, and x inferior or…

A: We need to find the length of the curve.   So the Length of The Curve Y = 3/5 X^5/3 -3/4 X^1/3 + 6…