e equation of the locus of points P satisfying PA –

Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

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Q: Determine the value of y in the given equation in the interval [0, 2rT): 2cos-y - 3cos y = -1

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Q: ii Sketch y = f(x), y= f¯'(x), and y = x _on the same set of axes.

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Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: (11) At what point do the curves ri(t) = (t, 2-t, t²) and r3(s) = (1-s, s+1, s²+1) intersect? Find…

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Q: Point T (* 0) -2+

A: Graph of the function is given, we have to find the coordinate of the point T.

Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

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Q: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

Q: The point (a,b) and (c,d) are points on the graph of y= x3+5 whose tangent lines are perpendicular…

A: y=x3+5slope at a,b =2x2=2a2     ...(1)slope at c,d =2x2=2c2     ...(2)slope of given line = -13…

Q: Consider the relation between r and y defined by the equation r4/3+y4/3 = 10. Find the r-intercept…

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: At how many points do the curves r₁(t) = ((t + 1)², — t² − 2t, t+2) and r₂(t) = (1 – t², t, t) -…

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Q: b) Find the point on the curve y Vr that is closest to the point (7,0).

A: Find the point to the curve y=(x)^(1/2) that is closest to the point (7,0)

Q: An equation of the line tangent to a curve at the point (1, 3) is y = x+2. If at any point (x, y) on…

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Q: A curve is defined by the equation xy - 6+x?y = 0. (a) Verify that the curve passes through the…

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: find the distance d between the points P1 and P2.

A: We know, By distance formula, distance d between two points (a,b) and (c,k) is given by:…

Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: 1. What is point-slope form? А) Ах + Вy %3D С y2 - Yı В) т%3 X2 - X, С) у - У1 %3 т(х - х) D) у %3D…

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Q: Find the equation of the set of points which are equidistant from (3,10) and the x-axis. OA 1 y=…

A: Given set is equidistance from (3,10) and the x-axis

Q: An equation of the line tangent to the graph of f(x) = -x(1 – 2x)³ at the point (1,1) is a. y = -7x…

A: f(x) = -x (1-2x)3  f'(x) = -3x(1-2x)2 (-2) + (1-2x)3 (-1) f'(1) = 6(-1)2 +1 f'(1) = 7   Slope m = 7…

Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

Q: A particle P moves on the curve r= 3i + 4t²j. The distance of P from the origin when t =1 is

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Q: Find all the points where the lemniscate (x2+y2)2=4(x2-y2) has horizontal tangents

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Q: Trace the curve r² = 4cos*etan?o.

A: The given curve is r2=4cos4θtan2θ. Simplify as follows:…

Q: Trace the curve r2 = 4cos etan2e. %3D

A: The given equation is r2=4cos4θtan2θ. Simplify r2=4cos4θtan2θ as follows:…

Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

A: The line y = ax + b is tangent to the graph of y=x3 at the point P=-3,-27. we have to find the…

Q: At how many points do the curves r₁ (t) = ((t+1)², -t2- 2t, t+2) and r₂ (t) = (1 − t², t, t)…

A: This is the problem of parametric equations and the theory of curves.

Q: 5. The point P(0.31 ,±y)is

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Q: Suppose (P, Q) is the point on the graph of y =Vx closest to (1, 0). What is the value of P+ Q? 1- 3…

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

A: Here we have to find the point on the curve y = sqrt (x) closest to the point (2, 2)   use the…

Q: Q1) Find the locus of the points that are equidistant to the point F(0,2) and the line y = -2. A) y²…

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Q: Which of the following is/are points on the curve y = x4- 8x3 + 22x2 - 24x + 9 where the tangent…

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Q: Find the equation of curve on which point P lies. The difference of the distance between P(xy) and…

A: We will find out the required equation of curve.

Q: on the line ye -2x +8 that 1-) Find the point IS Close't to the onigin.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Equidistant points mean that the distance of two points represented by P1 and P2 is equal to the…

Q: The point on the curve x? + 2y = 0 that is nearest to the point (0,-;) occurs where y'is A) 0 B)…

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Q: n of the curve, L. (x+ 1)* , 0 0

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Q: If f(2) = 6, and f'(2) =-1.2, find the coordinates of points A, B, and C. Line segment BC is tangent…

A: Given that f(2)=6 , that means A=(2,6) Given that f'(2)=-1.2 So the slope of the tangent is -1.2 and…

Q: Compute the length of the curve: f (x) = x² 2x, 0<x<2

A: Given:- f(x) =x2 -2x  To find:-  Length of curve over interval [0, 2]

Q: b The curve f(x) =ax + has inflection point at (2,27). a) -- Find the values of a and b.

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Q: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

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Q: An equation of the line tangent to the graph,of f (x) = x(1– 2.x)' at the point (1,–1) is D y = 7x…

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Q: A curve C has equation y =x2lnx- 2x +5, x > 0. %3D For which values of x, the curve C is convex?

A: The equation of the given curve is  y=13x2 ln x-2x+5 , x&gt;0 For the curve to be convex its second…

Q: The tangent line to the graph of y = In(x² – 1) is perpendicular to the line z + y = -1lat the point…

A: Given: y=lnx2-1 and x+y=-1 Concept Used: Slope of perpendicular lines are negative reciprocal to…

Q: Find the locus of the points that are equidistant to the point F (0,2) and the line y=-2

A: Use distant formula..

Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: Find the relationship between x and y such that the point (x.y is equidistant from the point (7,1)…

A: If a point say P is equidistant form two points say A and B then  PA =PB To see complete solution…