Trace the following curve: 1. y = x3 – 9x² + 24x – 7 -

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

A:

Q: Determine the values of x where a curve y = x3 - 3x2 - 9x+ 12 has horizontal angent lines.

A: Given,         y=x3-3x2-9x+12

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 length of the curve y = xVa 0 <x < 1.

A:

Q: Sketch the curve (2² + y*)³ = 4.x²y? 2.2

A: To sketch the graph of:(x2+y2)3=4x2y2

Q: Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

Q: Identify and sketch the curve: x2 + 25y2 − 4x + 100y + 8 = 0

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 point in the first quadrant on the curve y = x + x - l closest to the origin.

A:

Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ &lt; t &lt; ∞.

A: Given: x=3+2t y=-12-6t            - ∞ &lt; t &lt; ∞ To find: curve generated by given functions.

Q: 3. Sketch the curve: y = (x²–1)(x+2) x-3

A: y=(x2-1)(x+2)(x-3)y=(x-1)(x+1)(x+2)(x-3)X-intercept:(-2, 0), (-1, 0), (1, 0)Y-intercept:(0, 23)…

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

A: Solve the following

Q: Find the point on the curve y2 = ;(x+1) which is nearest the origin.

A: We have to find the point on the curve y2=52x+1 which is nearest the origin.

Q: Find the exact curve x = (y4/8) + (1/4y2), 1 ≤ y ≤ 2

A: First we find the graph of the function in the given region with the help of some points:   In the…

Q: Find the exact length of the curve. Ex372, 0sxs 4 y =

A:

Q: Q2- Sketch the curve: y = (x+1)

A: The function given to us is  y=x(x+1)2

Q: Find the coordinate of the extrema of the curve y = x² – 4x + 1.

A:

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…

Q: Find the slope of the curve x2 + y3 = 2 at each point wherey = 1

A:

Q: Find the exact length of the curve y=1+6x% for 0<xsl

A: We have to find the exact length of the curve y=1+6x32 for 0≤x≤1.

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

A: Please see the white board for the formua to calculate the length, L of the curve y = f(x), over the…

Q: Find the point on the curve y2 =;(x + 1) which is nearest the origin.

A: If (x, y) is any point on the curve nearest the origin then the square of its distance from the…

Q: Find the point on the curve y2 =(x+1) which is nearest the origin.

A:

Q: Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t<2

A: Given data:     The first parametric equation is: x=3t2. The second parametric equation is: y=2t3.…

Q: Find the length of the curve. x- 4t°, y= 6t, 0sts 3

A:

Q: Find the exact length of the curve. y = (1 + x2)3/2, 0 < x < 2

A:

Q: Find the length of the curve X= -y², 1≤ y ≤9

A:

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

A: Find the exact length of the curve.

Q: Find the length of the following curve. y = 3x 2) fromx = 0 to x= 8

A:

Q: Determine the slope of the curve x2+ y2– 6x – 4y – 21 = 0 at (0, 7).

A:

Q: Find the exact length of the curve. y =x2 - In(x), isxs4 y 1.0966

A:

Q: For the curve y = ax3 + bx2 + 12x -7, what values of a and b will make the tangents to the curve at…

A: given  y=ax3+bx2+12x-7a=?b=?

Q: Find the exact length of the curve. y = 2/3x3⁄2,    0 ≤ x ≤ 1

A:

Q: Find the exact length of the curve. x3 y = 1 + 4x 1< x < 3 3.

A:

Q: Find the exact length of the curve. x= (y4/8)+(1/4y2), 1&lt; y &lt; 2

A: The given function is,

Q: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

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

A: Given curve is

Q: Find the length of the curve y = x - lnx ; 1≤ x ≤ 4.

A: Given curve y=x-lnx  On closed interval [1,4] Length of the curve L=? Step 1 Find the derivate of…

Q: Find the exact length of the curve. y = 3 + 8x3/2, 0<x<1

A:

Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A: We have to find the value of a and b according to the given information

Q: Find the exact length of the curve. y = = 0 < x < 6

A:

Q: / Find the length of the curve y = (÷) (x²

A: Given,         y=13x2+232

Q: Find the length of the curve 3 y = x7 – 2 from x = 0 to X = 4.

A:

Q: Find the exact length of the curve. = 3/²/₁ y 1 4x 1 ≤x≤2

A:

Q: Find the exact length of the curve. X = 4 + 6t2, y = 8 + 4t3, 0sts 2

A:

Q: Find the exact length of the curve. y = 1. 1sxs 2 + - 3 4x

A:

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: 4. (x – h)? + y² = c²

A: The solution are next step

Q: Determine the slope of the curve x2 + y2 – 6x – 4y – 21 = 0 at ( 0, 7 ).

A:

Q: Find the length of the curve y = x^4 for 0&lt;_x &lt;_1

A: