7. Find the points of intersection of the following curves and draw the figure. x? – 3y = 0; x² + 2 = y

Q: Find the length of the given curve. 4/3 3y2/3 X = -27 - 32

A: The arc length formula is L=∫ab1+f 'y2dy. Here, 3y43-3·y2332' =-1+64y2316y13. Thus, the length of…

Q: Find the exact length of the curve. x = 6 + 3t, y = 9 + 2r, 0sts 5

A:

Q: Find the exact length of the curve. y =  1/4 x2  - 1/2 In x,   1≤ x ≤ 2

A: Consider the given curve Here the objective is to find the exact length of the given curve

Q: Find the length of the following curve. 3 2 y = 4x from x = 0 to x= 2

A:

Q: Find the exact length of the curve. x = 7 + 12t, y = 5 + 8t, 0sts 4

A: Given :      x=7+12t2 ,y=5+8t3 ,  0≤t≤4

Q: 1. Consider the curve C given by y = 5 + 2x3/2, 0 < x <1. (a) Find the length of the curve C.

A:

Q: The x coordinate of the point of intersection between the two curves y = el4a and y = 1 is

A: Equate both equation

Q: The a coordinate of the point of intersection between the two curves y = ellz and y= 1 is x =

A:

Q: Find the exact length of the curve. x = et + e-t, y = 5 – 2t, 0 st< 4

A: Given curve: x=et+e-t, y=5-2t We have to find exact length of the curve at 0≤t≤4. Length of the…

Q: Find the length of the curve y? = r between the points (0, 0) and (4, 8)

A:

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

A:

Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

A:

Q: Find the exact length of the portion of the curve shown in b r = 0+ 2 2 (i)

A:

Q: Which of the following curves pass through the point (1, 4)? c(t) = (t 2, 3 − t)

A: A point lies on a curve if it satisfies the equation of the curve. Substitution of the point into…

Q: Find the length of the curve. y=1/6(x^2+4)^3/2, 0 less than or equal to x less than or equal to 2

A: Find dy/dx of the given function

Q: 2. Find the exact length of the curve. y = 3 ,1 < x< 2 15+51

A: Find the exact length

Q: Find the exact length of the curve for the parametric equation

A: Let's say the length of the curve is L.  0 ≤ t ≤ 1 Hence, the desired length will be calculated as:

Q: Find the lengths of the following curves. x? 2 а. у %3 + In x, 3sx<6 8 2 y - 8 In 8 y .3sys 18 b. x…

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Q: Find the length of the curve.  y = (9 - x^2/3)^3/2 from x = 1 to x = 27

A:

Q: Find the exact length of the curve. x = 6 + 3t?, y = 2 + 2t3, 0 sts 5

A:

Q: Find the exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y &gt; 0

A: Given: Find the exact length of the curve.

Q: Find the length of the following curve. 3 y = x* from x = 0 to x = 8

A: Given,            y=x32 from x=0 to x=8To find : The length of the curve.We know that,          The…

Q: a) The curves y = x² and x = y?. b) The curves y = x² and y = } – x².

A:

Q: Find the exact length of the curve. 1 + 1sys 2 8 4y2

A:

Q: At how many points do the curves r₁ (t) = ((t+1)², -t2- 2t, t+2) and r₂ (t) = (1 − t², t, t)…

A: This is the problem of parametric equations and the theory of curves.

Q: Find the points on the curve as results of the intersection of x² + y? + z? – 2z = 0, y+ z = 1, -…

A:

Q: Find the length of the following curve. y=4x^3/2 from x=0 to x=5

A: The given curve is y=4x32 from x=0 to x=5. Compute the arc length as follows.

Q: 5 6. -9 -4 6. -4 -6 -1 a x + nb

A:

Q: Find the exact length of the curve. x = 1 + 3t2, y = 9 + 2t, 0sts 4

A:

Q: Find the length of the curve defined by from = 9 to z = 10. 2 y-4lm (()²-1) =

A: find derivative

Q: analyze and trace the given curves y = x2 + 1 / x2

A: Explained below

Q: Find the exact length of the curve. X = Vу (у — 3), 16 <y S 25

A: First differentiate wrt y

Q: 1. Find the length of the curve 4Y, 1<Y<2 8

A:

Q: Q1/ Find the equation of the circle tangent at least to three lines (y = 1, y 5, x 2 and x = 7). %3D

A: We have considered the first 3 lines as the line of the tangents For more see below

Q: Find the exact length of the curve. 36y =(x+4). 5 5 x s 6, y 20

A: Given: 36y2=(x2-4)3,  5≤x≤6,  y≥0 Arc length of curve y=f(x) on [a, b] can be calculated by…

Q: Find the length of the following curve. 3 y = 2x from x =0 to x=7

A: Given: y=2x32   from  x=0 to x=7

Q: Find the lengths of the curves x = (y3/12) + (1/y), 1 ≤ y ≤ 2

A:

Q: Find the lengths of the following curves: a. x = 1– t and y = 2 + 3t, - 2/3 <t<1

A: we have to find the length of the following curve

Q: y² = x x-1

A: We have to sketch the following curves.

Q: Find the exact length of the curve given by a = t° ,y (0 <t< 4). Length =

A:

Q: 7. Find the angle of intersection between the curves y = x + x-8 and y = x

A:

Q: et C be the curve y = 8/T for 2.4 < x < 3.7. 16 15 14 13 12 10

A:

Q: =r = 2 and r = 4cos.

A: Intersection points in polar coordinates given in the form as (r, theta).

Q: Find the angle of intersection of the following curve. xy = 6 and x'y = 12

A: As we know that the expression for angle of intersection of two curves is:…

Q: Find the lengths of the curves y = x1/2 - (1/3)x3/2, 1 ≤ x ≤ 4

A:

Q: 15. y= -(x +2)12; x=0 dan x=3 e kadar.

A:

Q: 4. (x – h)? + y² = c²

A: The solution are next step

Q: Find the exact length of the curve. x = 1 + 9t, y = 8 + 6t, 0sts 3

A: Explanation of the answer is as follows