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

Q: a. Determine the equation of the tangent line to f(x) = 2-x² 1 + x b. Determine the equation of the…

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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: (b) Find the equation of the normal to the curve 4x +2y 10xy at the point (1.2). %3D

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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: The velocity of a car was read from its speedometer at ten-second intervals and recorded in the…

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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: Which of the following has a horizontal normal line at x = 0? y = Vx 1 x2 y = 1 - || నా

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Q: x² + y? – 4x + 6y + 11 = 0 ,2 %3D

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Q: Find the equation of the tangent and the equation of the normal to the curve y = x + at the point…

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Q: 04) Find the equation of the normal to the curve ly'+ x(1+y)-4] at point (2,1).

A: We need to find the equation of normal to the given curve at the point (2,1).

Q: Pind the area under the standard normal distributión curve. 1. Between z 0 and z 1.51 4. Between z-…

A: 1) Required area  =  P ( 0 < z < 1.51 ) = 0.4345

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: Find an equation of the normal line to the parabola  y = x2 − 4x + 1  that is parallel to the line…

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Q: Find the equations of the normal line to the surface z = at the point (1, - 2, 32). - t + 32 ||

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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: Use the contour map in Figure to calculate the average rate of change: (a) from A to B. (b) from A…

A: The average rate of change for a contour map is given by ∆altitude∆horizontal. since there is no…

Q: |Let g(s) = e°(s4 + 6). a) Find the equation of the tangent line to g at (0, 6). y = b) Find the…

A: Differentiate at given value and then use formula of tangent and normal line

Q: Find the equation of the normal to the curve y = x?e4* at the point x

A: We have to find Normal to the given curve.

Q: The inclination of the normal with positive direction of x- axis, drawn at another end of a normal…

A: The inclination of normal with positive direction of x-axis, drawn at another end of a normal to the…

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: 2л Find the equation of the normal to the curve y = sin 3x at the point x = Select one: O y = x+ -…

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Q: What is the equation of the normal to the curve x+y = 25 at (4,3)? Select the correct response:…

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Q: Let f(x) a) Find the tangent line to the graph of the function at a = 3. b) Find the normal line to…

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

A: Find the normal to the curve

Q: If r(t) = , find the j-component of its principal unit normal, N at t = 1/2. Answer:

A: Principal Normal vector

Q: d) Determine the equation of the normal line to the graph of the function y+z*v = z sin(u") + vye"…

A: According to the given information, it is required to find the equation of normal line of the given…

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 equation of the tangent and the equation of the normal to the curve y = x + + at the point…

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

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Q: Q1) A-Write an equations for the normal lines on the circle tangent at (x= 1) with (r=√10),c(0,0).…

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Q: Find y"if z - y = 9. Find the equations of the tangent and the normal to the curve r- zy + 2y- 2 0…

A: Given  x2-y2=9.   We have to find y''.   We have to find the equations of the tangent and the…

Q: Find the equations of the normal line to the surface z 6z y at the point (1, -1,-6) t+ 6 Submit…

A: To find the equation of normal line to the surface at (1,-1,-6)

Q: The locus of a point such that two of the normals drawn from it to the parabola y = 8x are…

A: We Know that locus of the point of intersection of two normals to a parabola which are at right…

Q: For the curves a2 = 1 and y2 = 4x 63 If the two curves have only two distinct common normal then the…

A: The given curves are: x2a2+y263=1           and           y2=4x

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: Q7// Find tangent and normal equations of the curve x³ + y3 – 9xy = 0 at points (4,2) and (2,4).

A: The slope of a curve at the point (x1, y1 ) is given by;…

Q: nd the equation of the normal to the curve [y+x

A: Given: y2+x(1+y)-4At points (2,1)

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: Quèstion 10 Find the shaded area under the curve. X~Normal(u = 50,0 = 8) 37.2 62.8 0.8384 O 0.8064…

A: We have given that,  X be the random variable from nirmal distribution with mean (μ) = 50 and…

Q: c) Calculate the flux. with respect to the outer normal, of F through the boundary lof the region…

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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: Let f(x) = 3x cos-1(x), then the equation 2 of the normal line to the curve at the point (0, 0) is…

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Q: Find the equation of the tangent and the equation of the normal to the curve y = x + + at the point…

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Q: 2t2 + 3, y = 6t – 1 at the point whose 3. Find the equation of the normal to the curve defined by x…

A: Explanation of the answer is as follows

Q: Find the normal form of the line 3x + 4y – 10 = 0 and its where distance from the origin.

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Q: Let r(t) = . %3D Att = 2.4, the unit Normal is approximately O a. O b. OC Od. 0.16501

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

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