Show that the equation of the tangent ine to 'the graph of the parabola at the point Pt'=(t,t²) 1s by 2. is glven. y=Zt·x -t? y = 2t.x -t? (this Ime must have eguation x-t? =f"(t)•(x-t)

Q: 7) FIND EQUATION Of THE TANGENT AN LINE TO THE PARAMZTRIL X=t-+もt こe AT t =0. CURVE

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Q: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

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Q: Find an equation of the tangent to the curve x = 5 + In t, y = t2 + 2 at the point (5, 3) by two…

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Q: How do you find the equation of the tangent line to the parabola for y = x2 − 3x − 1 at x = 4.

A: The equation of the given parabola is y=x2-3x-1. We have to find the equation of the tangent line to…

Q: What is the slope of the tangent line that touches the graph of In y + e2=-1 = 3y – 4x at the point…

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Q: 4 Find all the points on the curve x2 + xy + y? = 3 where the tangent to the curve is a vertical…

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Q: Find an equation of the tangent plane to the graph of f(x, y) = In(4x² – 2y2) at the point (1, 1). z…

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Q: find the tangent line of the curve (1– sin(1).tcos(1)) at the vale t(0) = T, (and so at the point(…

A: The curve is defined by the equations: x(t)=(t-sin(t))    and    y(t)=tcos(t)

Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at 4'2

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Q: Does the graph of Sx²sin (1/x), x ± 0 f(x) = lo, x = 0 have a tangent line at the origin? Give…

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Q: Find the question of the that is tangent to the curve y=-3 cos2x at x= n/6. Express with exact…

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Q: The equation of tangent line to the graph of 8x²+16y²=48 at (2,1) is A x- y - 3=0 x- y+3=0 c none of…

A: Slope of tangent line is y'

Q: x = e' and y = te %3D

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Q: What is the sloe of the tangent line to the curve x = 3 sin y at the point (0, 2π)? 3. O O ا انت 3…

A: What is the slope of the tangent line to the curve x= 3siny at the point (0,2π) ?

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: Show that the tangent lines to the graph of y = (ex - e-x) / (ex + e-x) atx = 1 and x = -1 are…

A: Here we have to show that the tangent lines to the graph of y=ex-e-xex+e-x at  x=1 and x=-1 are…

Q: Tangents are drawn from the origin to the curbe y=sin x.Prove that their points of contact lie on…

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Q: Find the equation of the tangent line to y = ecos(x'+x) at x = 0. %3D 2x Chain Rede.

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Q: Tangents are drawn from the origin to the curbe y = sin x.Prove that their points of contact lie on…

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Q: Prove that the point of the tangent intercepted between the axes at any point on the curve x…

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Q: Find the equation of the tangent plane to z at (-4,2).

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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: 2 2 18. At how many points on the curve + yš =1 in the TY-plane does the curve have a tangent line…

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Q: Find the equation (in terms of x and y) of the tangent line to the curve r=4sin2θ at θ=π/3. y=?

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Q: 12. Find an equation of the tangent line to the parabola y = x2 – 1 at the point (2 ,3 ).

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Q: Find the point (x,y), at which the graph of y = 8x+6x-3 has a horizontal tanger The function y= 8x…

A: Our Aim is to find the point (x,y) at which the graph of y=8x2+6x-3-(i)has a horizontal tangent.

Q: Find the exact length of the curve. y = 6 + cosh(3x), 0s x 8 중이nh(3) sinh(3)

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Q: 24)) Since the tangent of the curve y = x ^ 5 + ax - 3 at the point x = 1 is y = x -b, then b =?

A: Given that y=x-b is the tangent of the curve y=x5+ax-3 at the point x=1.

Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)

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Q: Find the slope of the tangent line to the parabola y= 2 +x−x^2 at the point (0,2).

A: Simply take the derivative of the given equation and substitute the given point.

Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

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Q: 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= π/6. Express with exact…

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Q: 9. At what point(s) on the circle x 2 + y? = 13 is its tangent line parallel to the line 3x – 2y = 6

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Q: An equation of the tangent line to the curve y= cos(x) at a = T/3 is (- 7/3). %3D y =

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Q: If y-mx+B is thế équation of the tangent line to the curve X +2xy – y+ x = 39 at x=5 with a negative…

A: At x=5 we find y The points are (5, 1) and (5, 9)

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: The line that is normal to the curve x2 + 2xy - 3y2 = 0 at (1, 1) intersects the curve at what other…

A: Given thatx2 + 2xy – 3y2 = 0          …(1)On differentiating equation (1) with respect to x,

Q: The equation of tangent line to y =2rsinx at the point (T) is : Select one: a. y=2x O by=-2x+27 O…

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Q: 1- Find the equation of the tangent to the 2(x2 + y²)2 = 25(x² - y?) at (3,1) %3D

A: According to guidelines we should have been able to do only one question at a time #1

Q: Find the slope of the tangent to the curve y-x cos 3x at *- O al o Ob) 1 Od) 3

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Q: 3. Find Hhe to the (1,2) slope of the tangent live r=2-sin@ at the point curve

A: Then we plug this in the slope formula of the polar curve

Q: The line y = -4x +b is a tangent line to the curve 3y²r + sin(2y – 4) = /(2y) at (a, 2).

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Q: 7-The tangent of the curve x^2+y^2- 2XY3D0 at the point (1,1), is *

A: Given,           The curve is x2+y2-2xy=0 at the point 1,1.

Q: Find the equation of the tangent line at the given point. 1. y²e* = 3y + x² at (3,0) 2. x*+ y? = 3…

A: 1)y2ex=3y+x2Differentiate w.r.t x2yy'ex+y2ex=3y'+2xSubstitute…

Q: 4. Find the equation of the tangent line to the curve at the specified value of the parameter: x =…

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Q: 10. At what point on the parabola y = 3x² + 2x is the tangent line parallel to the line 10x – 2? y

A: Given,          The parabola y=3x2+2x is the tangent line parallel to the line y=10x-2.

Q: Find the equation of the tangent plane to the graph of xe*y- eyz = In(x?) at the point (1,1).

A: Solution

Q: 4) Find the equation of tangent I point line to the circle below at point (1,-3). * x² + y² – 2x –…

A: Consider the given equation of the circle, x2+y2-2x-4y-20=0 The equation of the tangent line passing…

Q: The slope of the tangent line to the graph of xy = In(x² + y² ) at the point (1,0) is :Select one…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.