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: The curve y+1=x< is rotated about x-axis. Which of the following is/are true? O A. V= 16TT /15 O B.…

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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: What are the coordinates of the points in the graph of y? – x² + 6x – 13 = 0 in which the tangent…

A: y2-x2+6x-13=0 --------------(1) Differentiating with respect to x ddxy2-x2+6x-13=ddx(0)…

Q: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: Answer

Q: Find the coordinates of the points on the curve y= x' + 5x + 3 at which the tangent: makes an angle…

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Q: -5 -4 -2 -1 2 3

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Q: Let x = a(cost + sin t), y a(sint- teos t). Find C. tant D. cott 38. A. sect B. cost Eliminate the…

A: (38) Given that , x=acost+tsint , y=asint-tcost find dydx=?

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 point where the tangent to the curve y = x +6x + 9x + 7 is parallel to the x-axis. 37.…

A: topic - point at which tangent line is parallel to curve. note : As per bartleby guidelines, we are…

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

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Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: We have to graph the function x24+y216=1 by using the points in the table.

Q: or the curve y = 4x²³ - 2x, find all the points at ngents pass through the origin.

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Q: Find the number of common tangents to the circles x\power{2}+y\power{2}+2x+8y-23=0 and…

A: For x2+y2+2x+8y-23=0 ,C1≡(-1,-4),r=210for x2+y2-4x-10y+9=0,C2≡(2,5),r=25now C1C2=distance between…

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: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

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Q: Trace the following curve:

A: Given curve: y=x4-6x2-7 Formulas used: ddxxn=nxn-1ddxconstant=0

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…