Sx = 2+ 6t² ly = 3+ 4t³ Find the exact length of the curve for 0

Q: Find the exact length of the curve. y = ln(Sec x),   0≤ x ≤ π/4

A:

Q: find an equation for the line in the xy-plane thatis tangent to the curve at the point corresponding…

A:

Q: Find the equation of the tangent line to the curve f(x) = a² + 2x at x = 1. Enter the answer in the…

A: f(x) = x2 + 2x      at x=1  y = x2 + 2x   At x=1  =>  y = 12 + 2(1) = 1 + 2 = 3 point on the…

Q: Find the point at which the curve Sx=t-4 ly=t-4t has a horizontal tangent. (x, y) = |

A:

Q: Find the interval on which the curve y = dt is concave upward. (Enter your answer using interval…

A:

Q: Find the equation of the line tangent to the curve y=t-1 and x= 2t2 at t=2

A: Given: The curves are y = t -1 and x = 2t2 . The value of t = 2   To determine: The equation of the…

Q: Find the tangent to the curve y = 2 tan (paix/4) at x = 1

A: Recall the following fact.

Q: Please help me find the length of the curve

A: We\'ll use arc length formula with a=pi/2, b=2pi/3.

Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if…

A: Topic = Derivative

Q: Find the length of the curve y2 = ln x, -1 ≤ y ≤ 1.

A:

Q: Consider the curve f(x) = x3 + ! for 3 < x < 4. Find the arc

A:

Q: Find the exact length of the curve  y = ln(sec(x)), 0 is less than/equal to x is less than/equal to…

A:

Q: Find the exact length of the curve. 1 х 3 1 s y s 2 4y2

A: Given:

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0 (5 marks…

A:

Q: nswer two only: [25] M W Find the equation for tangent to the curve y = x + cos(2x²) at x = 2.

A:

Q: Find the exact length of the curve. y = ln (1 − x2),  0 ≤ x ≤ 1/3

A: We need to use the chain rule to find dy/dx.

Q: Find the points on the curve x = t – 16t - 3, y = t + 6t + 8 that have: %3D A. a horizontal tangent…

A:

Q: Q3/Find the tangent to the curve x+ xy+ y' = 1 at (1,-1).

A:

Q: .find the points on the curve where the tangent is vertical x(t)=t^3-3t+2,y(t)=t^3-3t^2+2

A: Given: xt=t3-3t+2yt=t3-3t2+2 We first need the derivatives of parametric equations:…

Q: Find the equation of the tangent line to the curve x=t2−2t, y=t2+2t at the point t=2.

A: Given equation of curve is Now,

Q: Sketch the curve by eliminating the parameter, and indicate the direction of increasing t att-0. x=…

A:

Q: 2) Find the points on the curve where the tangent is horizontal or vertical. x = t2 – 8t, y = 2t3 +…

A: A parametric equation of a curve is given by: x = t2 - 8t    and    y = 2t3 + 3t2  We have to find…

Q: dy for the curve x = yª. dx Find

A: First take log both sides than use lograthim derivative.

Q: Find the lengths of the curves y = x2 - (ln x)/8, 1≤ x ≤ 2

A:

Q: Find the points on the curve where there is a horizontal tangent line: x = 5cos(t); y = t³ – 3t2 +…

A:

Q: Find all points on the curve  x 2  y 2 + xy = 2  where the slope of the tangent line is - 1

A: We first find dy/dx using implicit differentiation

Q: Find eacation for tangent to curve ンt (-3, 2d) +4) 4X

A:

Q: Find the points on the curve  x=t^2−18t−4, y=t^2+10t+6   that have: a) a horizontal tangent line,…

A: We have to solve by derivative rule

Q: Find the slope of the tangents to the curve at the points (P1 and P2) where it crosses (the x-axis.…

A: The curve will cross the x-axis when it's y intercept become zero.   Slope of curve at any point is…

Q: y = x3 + 2x2 – 5x + 4 of curve x = 2 : Find the equation for its tangent at the apsidal point. |

A:

Q: Find the point at which the tangent to the curve y = v V4x2 +1– 2 | has its slop 2

A:

Q: Find an equation of the tangent to the curve at the point comespohding to the given value ofthe…

A:

Q: Find the length of the curve y = ln (1 - x2), 0&lt;=x&lt;=1/2

A: Given:

Q: Find the x-value(s) at which the tangent line to the curve y=(6x+1)/(ex) is horizontal. If there are…

A: Here, we need to find the x-value(s) at which the tangent line to the curve y=(6x+1)/(ex) is…

Q: At what points on the given curve x = 4t3, y = 1 + 100t - 20t2 does the tangent line have slope 1?…

A:

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A:

Q: Find the exact length of the curve. y = ln(1-x^2), 0 ≤ x ≤ 1/9

A: Given curve is Length of curve is given by

Q: 49 sec t – 1 dt with 3 Find the length of the curve x = Length is

A:

Q: Find the points on the curve x = t2 14t + 1, y = t + 12t +1 that have: A. a horizontal tangent line…

A:

Q: Find the point(s) on the curve t3 3t, y 2t2 +t 2 x = - where the slope of the tangent line is equal…

A:

Q: 3. Find the length of the curve given by : = (y/4)² – 2 ln(y/4) for 4 > y 2 12.

A:

Q: Find the equation of tangent line to curve x= t^(2)-2t and y=t^(2)+2t at the point t=2?

A:

Q: Find the point where the tangent line to the curve c(t) = (8t2 – 6, 3t2 – 12t) is horizontal. (х, у)…

A:

Q: メ*+\ for what Value sss of x ,t he curve y= 3 X has horizontal tangent

A:

Q: Find the slope of the tangent to the curve y² In(x) + x²y = 4 at (1, 4). %3D Need Help? Read It

A:

Q: 10. For x(t)= t² +t,y(t)= e³' find the values oft where the curve is concave down.

A:

Q: At what points on the given curve x = 2t³, y = 2 + 10t 14t2 does the tangent line have slope 1? = (L…

A: Given problem:- At what points on the given curve x = 2t3 , y = 2 + 10t - 14t2 does the tangent line…

Q: At what points on the given curve x = 4t?, y = 5 + 8t – 21² does the tangent line have (x, y) =…

A: