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

Q: Find the points on the curve x = t – 4t – 9, y = t2 + 14t + 4 that have: A. a horizontal tangent…

A:

Q: Find the points on the curve a = t – 16t + 1, y = t² + 12t – 8 that have: %3D A. a horizontal…

A:

Q: On the curve y = x², find a point at which the tangent is parallel to the chord joining (0, 0) and…

A: To find the point

Q: Find the slope of the tangent line to the curve−4x^2+4xy−3y^3=−5at the point (1,−1).

A:

Q: Find the points on the curve a = ť² – 14t – 9, y =t² + 14t + 1 that have: | A. a horizontal tangent…

A:

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

A:

Q: Find the points on the curve æ = t² – 6t – 8, y = t² + 14t – 6 that have: A. a horizontal tangent…

A:

Q: 2- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = C

A: Given problem:- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = 0

Q: Find the distance between the point (-2m, 0, -m) and the tangent line of the curve ū(t)= (me* – }i--…

A: Given: u-(t)=(met2-t)2i-4mt+1j+t-mt2+1k at t=0 First we will find tangent line of the curve…

Q: find the tangent line to the parabola (x + 2y)^2 + 2x – y – 3 = 0, parallel to the line x – 4y = 2.

A: Given the parabola x+2y2+2x-y-3=0..............i  Determine the slope of given line x-4y=2…

Q: Given the curve y² = 5x – 1 at point ( 1,-2 ) , find the equation of tangent and normal to the…

A:

Q: Find the equation of the tangent line to the curve x =t2 -2, y =t³ -2t + 1 at the point t=2.

A:

Q: a point on the cor ve y=x² - 2x -3 at which is parallel to Find the tangent line the X-axis

A: Given query is to find the the point where tangent line paray to x axis.

Q: Find the equation of the tangent line to the curve x = In t ,y =1+t² when t = 1 . %3D

A:

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

A:

Q: show that the sum of the x-intercept and y intercept of any tangent line to the curve x1/2+…

A: Consider the given equation of curve, x+y=cddxx+y=ddxc12x+12ydydx=012ydydx=-12xdydx=-yx Therefore,…

Q: m 10. PREVIEW ONLY -- Find an equation of the tangent line to the curve y = 9° at the point (1,9).…

A:

Q: Find the slope of the tangent line to the curve1x^2+1xy−3y^3=−24at the point (−2,2).

A:

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: 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: Find the tangent/sto the parabola (x + 2y)2 + 2x – y – 3 = 0, parallel to the line x – 4y = 2.

A: The equation of the parabola is given as  x+2y2+2x-y-3=0. On simplifying,…

Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1). A y=2 B) y = x…

A:

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

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 tangent line to the curve x = -/t + 1 , y = , y = \3t at the point def ined by t = 3

A: Using formula of equation of tangent line to the curve at given point.

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

A:

Q: Find the point(s) on the graph of y = (x2 – 168)e where the tangent line is horizontal.

A:

Q: Find the points on the curve t2 – 14t – 1, y = t² + 6t + 5 that have: х — A. a horizontal tangent…

A:

Q: Find the tangent and normal to the curve a2y=3x at (a,a)

A: Equation of tangent to the curve at x0,y0.                y-y0=m(x-x0) Equation of normal to the…

Q: Find an equation of the tangent line to the curve y? = x3 + 3x? at thu point (1, 2). 2у + 3x 3 3 3x…

A: We have to find the equation of tangent line.

Q: Find the points on the curve z t? – 10t – 8, y = t² + 4t + 6 that have: A. a horizontal tangent line…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: On the curve y=x', find a point at which the tangent is parallel to the chord joining (0, 0) and (1,…

A:

Q: Determine the slope of the tangent to the curve 1 Ax) = Vx + ÷+2 at x = 1 %3D A D을 1 B글 C4

A: Given f(x)=x+1x+2 at x=1 Find Slope of the tangent to the curve at x=1 slope,m=f'(x) at x=1

Q: Find the slope of the tangent line to the curve I defined b y 5x²+8xy-4y"= 1B47 atthe point %3D…

A:

Q: For the implicit curve y + xy + x2 = 3, find a point on the curve where the tangent line is…

A:

Q: Find an equation for the tangent line to the curve parametrized by a = t¹ — 1 and y = t5 + t at the…

A:

Q: Find the equation of the tangent plane to the graph of f(x, y) =−3x2 − y3 at the point (x, y) = (2,…

A: The given function is

Q: Find the equation of the tangent line to the curve x=4+2t, y=1−t2 at the point t=1.

A: We need to find the equation of tangent line to the curve at point t=1

Q: Find the points on the curve x = t – 16t + 4, y = t + 16t + 5 that have: A. a horizontal tangent…

A:

Q: Show that the line y = mx + b is its own tangent line at any point (x0, mx0 + b).

A: Given:Show that the line y = mx + b is its own tangent line at any point (x0, mx0 + b).

Q: On the curve y=x2 ,find a point at which the tangent is parallel to the chord joining (0,0) and…

A:

Q: Find an equation of the tangent plane to the graph of f(x, y) = 9x at the point (2, 9 Vy z =

A:

Q: Find an equation for the tangent plane to the graph of f(x, y) V3+ r2 – 3y2 at the point P(2, 1,…

A:

Q: Determine the equation of the tangent line to the curve y=Vx at the point (1,1) (A x-4y+3=0 (в)…

A:

Q: Find the slope and y-intercept of the tangent line, in the form y = mx + b, to the curve at the…

A:

Q: On the curve y=x2,find a point at which the tangent is parallel to the chord joining (0,0) and (1,1)

A:

Q: Find the tangent plane to the curve T = [t, t², t³] which pass through point M (2, –, –6) .

A: If the parametric equation of a curve is given by , then the tangent direction is given by . The…

Q: Find the equation of the tangent line to the curve y% D In(x8) at the point (1,0). O y = 4x - 4 O y…

A:

Q: The equation of the tangent line to the curve z? + y² = 49, at (9,-15) is , %3D 15 - (z – 9) + 15 15…

A: