the following Raints X+x-18 har a tongent at which of the graph of tine which is perpendicular to the line qY+4x =0

Q: In  the givne equation as follows ,determine the open t-intervals on which the curve is concave…

A:

Q: 1- Which of the following is the shortest distance from the point (15, 0) to the curve y = V6x ? a)…

A:

Q: Find the exact length of the curve. y4 1 X = 8 1sy< 3 4y2"

A: Here the formula of length of the curve is:

Q: Find the exact length of the curve x = 5 + 12t? for 0 <t <1 y = 6 + 8t3

A: The objective is to find the exact length of the curve x=5+12t2, y=6+8t3 for 0≤t≤1 Now, dxdt=24t and…

Q: Find the length of the following two-dimensional curve. 3/2 (2t + 1) 2 r(t) = for 0sts4 3

A:

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

A:

Q: w = (2x – 7)(x +5)/ Establezca dw dw dx 2.

A:

Q: b) How far should we let 0 run to traverse the curves one time only?

A: To find how far θ needs to run in order to traverse the the the curve one time only, we need find…

Q: (- Find the Peength.cf the graph of; la) f(a).= ²- btuwn t=R and x= 3 (ARmks) btwn =2 and x=3 (emkr)…

A:

Q: Q4) Compute f z'dz, where C is the path formed by the line segment from -3 to 3 and the semicircle…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Consider the line L(t) = (4 – 3t, 17 + 4t). Then L intersects: 1. The x-axis at the point when t =…

A: Lt=4, -3t, 17+4t1  On the x‐axis , y co‐ordinate in zero       Therefore Lt will intersect y…

Q: 1 use the formula L= [, ct to find the length of the curve 1 X=-ť. y = 1 for 0St<1

A:

Q: Consider the line L(t) = (3t – 1,3 + 2t). Then L intersects: 1. The x-axis at the point when t = 2.…

A:

Q: For the following graph, what is the displacement of the object betweent-0and t- 2?

A: Consider the graph

Q: 25 Which of the following is the shortest distance from the point to the curve y = v5x?

A: We have to find the expression of distance using parameter.

Q: y = -x³/2,0 < x< 1 3.

A:

Q: 6- Which of the following is the shortest distance from the point (15, 0) to the curve y = 6x ? %3D…

A: Let Px,6x be any point on the curve y=6x. Use the distance formula, to calculate distance between…

Q: The line y=-Lx+8 has perpendicular whrich is fangent to the graph of Find the value of ke y = (x²2)…

A: Explanation of the answer is as follows

Q: Find the lengths of the following curves: c. x = t3 and y = 2t? /2, 0 st< V3

A:

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: At what point do the curves r¡(t) = (t, 1 – t, 3 + t²) and r2(s) = (3 – s, s – 2, s²) intersect?…

A: Given Data: Curve 1: r1t=t, 1-t, 3+t2 Curve 2: r2s=3-s, s-2, s2   For the intersection point,…

Q: Find the length of the curve. r(t) = (4t, 0 <ts 1

A:

Q: Consider the line L(t) = (4 – 4t, 17 + 3t). Then L intersects: 1. The x-axis at the point when t =…

A: Consider the line L(t) = &lt;x(t) ,y(t) &gt;, then L intersect at the x-axis at the point &lt;x(t)…

Q: Find the length of the following three-dimensional curve r(t) = (1+ 3t,4 - 3t, – 6 + 2t) , for 1sts7

A:

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: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find th…

A:

Q: 6- Which of the following is the shortest distance from the point (15, 0) to the curve y = a)3 c)9…

A: we have given a curve y=6x  and a point (15,0)let (a,b) be any point on the curve y=6xtherefore this…

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

A:

Q: Find the exact length of the curve.x = 3 + 6t2y = 8 + 4t30 ≤ t ≤ 4

A:

Q: Find the length of the curve: - for 1< y<3. 3 4y 4. x=

A: As we know that the length of a curve x=f(y) is given by:- L=∫ab(f'(y))2+1dy

Q: . Find the length of the curve C : r(t) = (4t, t2 – In(t²)), 1<t< 4.

A: Explained below

Q: We obtain the graph of f(t) = 4 sec (2t + Tt/3) by shifting the %3D graph of f(t) = 4 sec 2t a %3D…

A:

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: y² = x x-1

A: We have to sketch the following curves.

Q: graph

A:

Q: 4 - Which of the following is the shortest distance from the point (5, 0) to the curve y = V2x ? 7…

A:

Q: use the graphs to find a δ &gt; 0 such that| ƒ(x) - L | &lt; ∈ whenever 0 &lt; | x - c | 6 δ

A:

Q: 6- Which of the following is the shortest distance from the point (15, 0) to the curve y = /6x ? a)3…

A: 5

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: 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…

Q: Use the given graph of rx) to make the following esti y 3 2 4 6 8 10 12 14 16 18 20 (a) Estimate…

A:

Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

Q: For what values of a and b is (2, 2.5) is an inflection point of the curve x?y +ax +by = 0? What…

A:

Q: Find the length of the curve given by F() =(6t, 12/7, 3Int) for 1<tse. О 8е-4 О 2e-1 O 4e-2 O e O…

A:

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 4? a = b…

A:

Q: Find the lengths of the following curves: d. x = t²/2 and y = (2t + 1)/3, 0st<4

A: Given, x=t22 &amp; y=2t+1323,  0≤t≤4 To find the lengths of the given curves.

Q: Two vehicles start out traveling side by side along a straight road. T owing graph, are given by s =…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Consider the two graphs y= 2x and x2 - xy + 2y = 28. The absolute value of the tangent of the angle…

A:

Q: 4. (x – h)? + y² = c²

A: The solution are next step

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.