Question 16 What is the normal line to the curve 9x+4y=36 at (0,3)7 А) х-аxis B y-2=0 C) x+13D0 D У -аxis

Q: Find the distance between the origin and the normal to the curve y=e2x+x2 at the point where x=0…

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Q: Q1) Find equations of the Normal plane and Osculating plane of the curve y = 2t, x = 2 sin 3t , z =…

A: We have to find Normal and oscillating plane from given information.

Q: 5) Find the orthogonal trajectory of the family of curve given by y = In(r+b) %3D

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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: (a) Compute the arc (1,3, 1/3). F(t) = (t, 3, t) between the points (0,3, 0) and length of the curve

A: These 2 are unrelated problems as anyone can be solve without any help of another. So by Bartleby…

Q: Show that the normal line at any point of the circle x2 + y2 = a2 passes through the origin.

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Q: Find the length of the subtangent and sub-normal at a point of the curve y= bsin(x/a)

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Q: The normal line at point P(0,a,-a) of the surface given by the equation F(x,y,z) = 3xyz – z' – a' =…

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Q: Find the point(s) of intersection of the curves p = 6 /3 and r = 12 sin 0. OA. 63,3 OB. 6,- 27 6, 3…

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Q: The length of the curve determined by equations x = t² and y = t from t = 0 to t = 4 is %3D %3D %3D…

A: The objective of the question is determine the length of the curve.

Q: The curve y et and the lines y = 0, x = 0, and x = In 2 %3D

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Q: bas S s 101 ub oteuleva (d) TOt J8 ei Jed TV=( lo moitesiesnil odi baid Find the equations of the…

A: The given function is y=1+4sinx at x=0

Q: chapter 3.6 (book question #35) find an equation of the normal (perpendicular) line to the curve x2…

A: Use differentiation to determine the normal to the curve at the given point

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: 1) Evaluate S,(x – y)dx + (y – z)dy + xdz where C is the curve from (1. –2, 3) to (–4, 5, 2) if a) C…

A: Given integral: ∫Cx-ydx+y-zdy+xdz Here, C is the curve from 1,-2,3 to -4,5,2 a) The parametric…

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: Consider an q-curve with parameters 3 and 14. a. Determine q0.05. b. Find the q-value with area 0.01…

A: The provided information are: Number of parameters (k) = 3 Degree of freedom (df) = 14

Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at…

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Q: Re Question 17 Find a parameterization for the line segment from (2,-1) to (-6, 4). a) O (t) = -1–…

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Q: Find equations of the following. y = x2 − z2,    (6, 11, 5) find the tangent plane and normal line.

A: According to the given information: Consider the given equation at the given point:

Q: 3. Find the equations of the normal plane and the osculating plane to the curve at the given point…

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Q: Question 9 In the ry-plane, how many horizontal or vertical tangent lines does the curve æy? = 2 +…

A: Given a equation of the curve, xy2=2+xy To find horizontal or vertical lines of the given curve.

Q: 22. What is the equation of the normal to the curve y = 3x² – 2x + 7 at the point (1, 8)? А. х + 4y…

A: Solutions of both question are given below . May these help you.

Q: Prove that the segment of the normal to the curve x = 2a sint +a sint cos't, y = -a cos't contained…

A: First find derivative then equation of normal line ,and point of coordinate axes and then use…

Q: Find the length of the curve. x=(y - 1) 3/2 from y = 1 to y = 4 O 7 O 10 21 2 O 1

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Q: Find the equations of the normal line to the surface z = 2x°y* at the point (2, 2, 256). y = 2 = -t…

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Q: Find an equation of the normal line to the surface z = ye 2æy at the point (0, 2, 2).

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Q: Find the point(s) of intersection of the curves r = 10 and r = 20 cos e. O A. (10,5) 3 OB.…

A: Given: r = 4  r = 20 cos θ

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: Find the equation of the normal line at the point (-2,1 – 3) to the ellipsoid + y2+ 름= 3.

A: To determine the equation of the normal line.

Q: Consider the curve x2/3 + y2/3 =4. Let L be the tangent line to this curve at the point (1 , 3/3),…

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Q: 4) The lemniscate curve (x² + y²)² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted…

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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: 5 pts Question 1 Determine the equation of the tangent plane and normal line to the surface at the…

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Q: Find the length of the subtangent and sub-normal at a point of the curve X y= bsin a

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Q: (1) Give two different parameterizations for each of the following curves. (a) The line segment from…

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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: Find the exact length of the curve. y = (1 + x*,3/2, OSxS 5

A: The curve is y=231+x232 , 0≤x≤5

Q: The length of the curve defined by x =÷(y² + 2)E, y E [0,3] %3D

A: Arc length=∫ab1+dxdy2dy

Q: find the length of the curve given x = (y/4)2 - 2 ln (y/4), 4>= y>=12.

A: The arc of length of curve is given byL = ∫y0y11+dxdy2dyhere y0=4 and y0=12 Given function…

Q: Find the length of the arc of the curve x2=(y-2)3 from P(1,3) to Q(8,6).

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Q: Find the equation of the line through the origin auel normal to the line x=y-S,2:2y-3?

A: Let ,     L1 : x-01=y-51    L2 : y-321=z-02L be the required line which passes through 0,0,0 &…

Q: 7 Find the stationary point on the curve e + ye = 2e'. %3D

A: In the given question, the concept of the stationary point is applied. Stationary Point The critical…

Q: 1. Find the equations of the normal and osculating planes of the curve x Int, y 2t, z = t2 at the…

A: Equation of the plane :  r→.n^ =a→.n^ ; where 'r→' is the position vector and 'a→' is the given…

Q: Question 5 Find the length of the curve. +- from y = 1 to y = 2 %3D 4y2 2

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