A normal is drawn at a point P(x, y)of a curve.lt meets the X axis and Y- axis in the points A and B, respectively such that -1, where O is the origin OA OB Find the equation of such a curve passing through (5, 4).

Q: Find the equation of the normal at (1,2) for the function 2x - 3xy+ y +x+2y+12%3D0.

A: Equation of normal for a  curve at a point (a,b) is given by, y-b = m(x-a) Where m is the slope of…

Q: Find the equations of the normal line to the surface z = 8x°y" at the point (– 2, – 1,64). y = z = -…

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Q: 3. Find the average height of a point on the semicircle y =4- x over the interval -2 < x S 2.

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Q: Find the equation of the Normal Line to the curve y = X at (4, 2). (A) 4х — у — 18 % 0 B 4 x + y +…

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Q: Find the equation of the normal line to the curve y = at a) 8x + 2y = 7 b) 2x + 8y 7 c) 8x-2y = 7 d)…

A: As we know that, The equation of the normal line to the curve at a given point is; y-y1=mx-x1 Where;…

Q: 3. Find the equations of normal of the curve y = 2x- x-at (2, 0). Oa. 2x +y = 4 b. 2x - y = 2 C. X-…

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Q: 2 Jgw The normal line to the curve x sin2y=ycos2x at the point p(a/4, 1/2) is: .a y = x/4 - 5a/16…

A: The detailed solution is as follows below:

Q: What is the equation of the normal line to the curve x2 + y? – 6x - 2y=0 at (2,4)? A x+3y- 10 = 0 B)…

A: We need to find equation of normal line.

Q: Find an equation of the normal plane of the curve at the given point. x=sin(2t), y=-cos(2t), z=4t;…

A: The equation of the normal Plane of x=sin(2t) , y=-2cos(2t) , z=4t ; at point   0,1,2π   is…

Q: The equation of the normal to the curve f(x) x2 - 5 at x = 2 is (a) y = -1/4(x+2) (b) y =…

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Q: In considering normal and tangential components, the t axis is tangent to the curve at the point…

A: True. When a particle moves along a curved path, it is sometimes convenient to describe its motion…

Q: consider the curve y=x^2-4x+2 show that the normal to the curve at the point x=1 is 2y-x+3=0

A: TO SHOW THE EQUATION OF NORMAL AT x=1 IS  '2y-x+3 =0' GIVEN y = x2-4x+2 EQUATION OF NORMAL AT x=1 is…

Q: Let f(x) =- 3x – cos-1(x), then the equation %3D of the normal line to the curve at the point (0,0)…

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Q: What is the equation of the normal line to the curve x2 + y? – 6x - 2y=0 at (2,4)? А) Зх-у+10%3D0 B…

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Q: Find the equation of the normal line to the graph y= x In x that is perpendicular to the line x - y…

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Q: Which of the following is an equation of the normal line to y = sin x + cos x at x = T? (A) y = -x +…

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Q: Find the normal to the curve y 1 x2 at the point (3, -8). y=(x/3)-(3/2) O y=(x/2)+(3/2) O…

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Q: The function f is defined forx>0 and is such that f'(x) 2x -. The curve y = f(x) passes through the…

A: Follow the steps.

Q: 12. Find the slope of the normal line to the curve y = f(x) at the point r = 4 if f(4) = 2 and…

A: Here we will first find the slope of Tangent to f(x) at x=4 And will use it to find the slope of…

Q: The equation of the normal line to the curve y = -Vx that is parallel to -6x +y = 1 (A) y + 3 = –6(x…

A: equation of curve y=-x equation of line -6x+y=1

Q: Given a function g(x, y) defined implicitly by the equation z*y* + sin (x² – y²) = tan-'(xz). (1) dz…

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Q: The equation of the normal line to the curve y = -Væ that is parallel to -6x +y = 1 (A) y + 3 = –6(x…

A: Solve by equation of normal Line

Q: A curve is given by xcos('pi'xy)=x+y+1. Find the tangent -and normalline at the point (0,-1).

A: Given x cosπxy=x+y+1

Q: answer quickly

A: Topic:- application of derivatives

Q: 23. Find the normal to the curve x2 + y² = 25 at (4,3). %3D

A: Find the normal to the curve

Q: The equation of the normal line to the curve y = -Va that is parallel to -6x+y = 1 (A) y + 3 =…

A: given,     curve y=-x is parallel to -6x+y=1

Q: A curve passes through the point (eº,0) and the slope of the normal line at each point (x,y) is…

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Q: The curve y : in (3x - K) crosses the at and the equalion of the at this point Find the value of K…

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Q: 5. The equation of the normal line to the curve 3y3 = px² – q_ is 9x + 4y = 10 at %3D %3D x = 2.…

A: follow next step

Q: Find the equation of the normal line to the curve y = x³+ 3. at (1, 4). %3D O a. x = 1 O b.y = 4 O…

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Q: What is the slope of the normal ine to the curve y=In(xª+1) at x=1, -2 -1/2 1/2 D) 2

A: Product of slope of the tangent and normal line is -1.

Q: Find the length of normal and sub-normal at a point -X a ea +ea 2 on the curve y =

A: We know that the length of normal at a point on the cure y=fxis given by y1+dydx2and the length of…

Q: 1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

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Q: The slope of the normal line to the tangent line of 1 is f(x) = (sin x)² at a = V2 :Select one V2 .a…

A: We have to find slope of normal to the tangent line of fx=sin-1 x2 at x=12. We know the slope of…

Q: Determine the equation of the tangent line to the graph of the function f(x)=x* – 4x atx = 3 . Also,…

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Q: The slope of the normal line to the tangent line of 1 is 1 f(x) = (sin x)² at a = V2 %3D :Select one…

A: Given:    f(x)=(sin−1x)2  at x=12.

Q: 2 At how many points on the curve x 3 + Y 9 in the xy-plane does the curve have a tangent line that…

A: Solve

Q: Let g(s) = e* (s³ + 4). a) Find the equation of the tangent line to g at (0, 4). Y = b) Find the…

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Q: For the function h (1) = - 3z+2x-1, determine the equation of the normal line at z = 2. I' - USE THE…

A: Given: h(x)=x3-3x2+2x-1 The objective is to find the equation of normal line at x=2. It is known…

Q: x + 2x – 3, that is also parallel to Find the equation of the normal line to the parabola y – 2x +…

A: Definition used -                         Slope of normal - The slope of normal at a point is the…

Q: Let g(s) = e°(s² + 8). a) Find the equation of the tangent line to g at (0, 8). y = b) Find the…

A: Given gs=ess2+8 (a) we have to find the equation of the tangent lie to g at 0,8. First find the…

Q: The equations of the tangent plane and of the normal line to the graph of f (x, y) = x-y / x + y at…

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Q: Find the equation of the normal lines to the curve y=x^3-2x+1 that is perpendicular to the line…

A: Consider the given equation of the curve as y=x3-2x+1. Differentiate with respect to x we get as…

Q: If we have (x'+y' –9xy = 0 ), The normal to the curve a (2,4) is 4 12 a - y=-x+- 5* 5 4 13 ア=ーズー 5…

A: Proceed as shown below...

Q: Find the equation of the Normal Line to the curve y 2 = x at (4, 2). A 4х — у — 18 %3D 0 B 4х + у 18…

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Q: d) Detdrmine the equation of the normal line to the graph of the function y + x²y = x sin(y²) + ye"*…

A: Let us consider the curve f(x,y)=g(x,y) To determine the normal line of the curve at P  Find the…

Q: 7 Find the value of c such that the line y =-x + 7 is tangent to the curve y = cyx. 4 с 3

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Q: d the exact equation of the normal to y=e2x at the point where x=

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