FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY   Y2 = x2+5x−4/x−5

Q: y (x+1)²

A:

Q: Find the exact length of the curve. 0 < x < 6 %3D 3

A: Given:   To determine: Exact length  of the curve     Concept: Exact length of the curve y = f(x)…

Q: Use the guidelines to sketch the curve  y = 2 x2  / ( x 2  -1 )

A: For, x=0, y=0  So, the y-intercept is 0   Then we plug y=0 and find x so, x-intercept is 0.

Q: Find the exact length of the curve. x = 9 + 6t2, y = 4 + 4t3,

A:

Q: Consider the curve y = 3x3, The sketch of the portion of this curve between x = - 1 and x = 8 is…

A:

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

A:

Q: Find the x- coordinate of the inflection point(s) of the | .2* curve y = -7xr'+ 4x +10.

A:

Q: Find the exact length of the curve. y = 4 + 6x3/2, Osxs1

A:

Q: Find the exact length of the curve = √(y - 3), 1 ≤ y ≤

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: 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: Given the curve y = x3 + 3x, at what point is y' = y'' ?

A: As we know that, The Power law: ddxxn=nxn-1 The sum/difference rule: f±g'=f'±g'   Given: y=x3+3x And…

Q: Find the exact length of the curve. y = 4 + 4x3/2, osxS1

A:

Q: Find the exact length of the curve. y = 4 + 8x3/2, Osxs1

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: 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: Use a graph to estimate the coordinates of the lowest point on the curve x = t³ - 31, y = 1² +1+1.…

A: Consider the parametric equation x=t3-3ty=t2+t+1 Sketch of the parametric equations is shown below.

Q: x3 Y2 = x2-4x+4

A: To determine the properties of curve, we will need to have function, its first order derivative and…

Q: Find the point on the curve y =√ x that is closest to thepoint (3 ,0) .

A: Let (x,y) be the point on the given curve which is closest to the point(3,0) where The distance…

Q: Find the exact length of the curve. 36y2 = (x2 – 4)³, 4 < x < 9, y 2 0

A: Given:

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

A:

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 PROPERTIES OF THE CURVE AND SKETCH FULLY Y^2 =x^2+5x−4/x−5

A: We are given the curve: y2=x2+5x-4x-5 Sketching the curve , we have :

Q: Use the guidelines of this section to sketch the curve.   y= 3√(x3 + 1)

A:

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: y =(+ + +)* x = 4t + 1, 4

A:

Q: Find the exact length of the curve. x = 2 + 3t2, y = 5 + 2t3, 0sts 2

A: Given,

Q: 6. Y = %3D x2-4x+4

A:

Q: Use the guidelines of this section to sketch the curve. х — 6 y = x2

A:

Q: Use the guidelines of this section to sketch the curve.   y= 3√(x2  -1)

A: We need to find the x intercept, y intercept, vertical asymptotes, horizontal asymptote etc to…

Q: Sketch the curve: y² = Xー4

A: A function is an equation that connects the variables x and y. In the xy plane, a function…

Q: Find the exact length of the curve. y = 4 + 4x3/2, oSxS1

A:

Q: Use the guidelines of this section to sketch the curve.   y = 1/ x2 -9

A: Let us plot a table with values of x and y. x y 0 -8 1 -8 -1 -10 2 8.75

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx %3D

A:

Q: Find the closest point to the point (2,0) on the y = x curve.

A: To find the closest point to the point (2,0) on curve y=x

Q: Find a point on the curve y = x2 that is closest to the point (18; 0)

A:

Q: Find the length of the curve x = y2 — 2y, 0 ≤ y ≤ 2.

A:

Q: Use the guideline of this section to sketch the curve 1. y = 1 + 1/x + 1/(x ^ 2)

A: To Sketch: y=1+1x+1x2 Explanation: (a). Domain and Range y=1+1x+1x2is defined everywhere except…

Q: Sketch the curve with equation x2/3 + y2/3 = 4 and use symmetry to find its length.

A: Arc Length formula in the interval [a,b] is given by, L=∫ab1+dydx2 dx This is applied only when dydx…

Q: Find the exact length of the curve. 1 y = + 10x37 6 1 ≤ x ≤ 3

A:

Q: Find the exact length of the curve. x3 y = 1 < x < 2 %3D 4x

A: y=x33+14x  ,  1≤x≤2.

Q: At what part of the curve 2x2 + y? = 8 does it assume the highest value?

A:

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x

A:

Q: Sketch the curve with equation  x2/3 + y2/3 = 1  and use symmetry to find its length.

A:

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

A:

Q: Find the angles at which the curve y=x3−x intersects the x-axis.

A: The angle at which curve intersect the x axis is determined by the angle of slope of tangent to the…

Q: Find the exact length of the curve. 1 y = 1 < x < 2 4x

A: The given curve,   y=x33+14x, 1≤x≤2

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.