Find the tangent plane to the equation z 3y cos(5z 6y) at the point (6,5, 15) Question Help: OVideo Submit Question

Q: Describe the shape of the curve x = 3 cos t, y = 3 sin t .

A: Given:

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Q: find the parametric equations for the tangent line to the curve x=t^2-1,y=t^3+1,z=t^2 at the point…

A: Given, x=t^2-1 y=t^3+1 z=t^2 point (x1,y1,z1)= (8,28,9)

Q: A bullet fired from a gun follows the trajectory x = at, y = bt – 16t2 (a, b > 0) Show that the…

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Q: Equation of the tangent plane to the surface 7(u,v) at (uo,Vo) is given by 7-7(uo, Vo)]× Ñ(uo,Vo)…

A: To find: Equation of the tangent plane to the surface r→u,v at u0,v0

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Q: Find the equation for the tangent line for the following parametric equation, do not change to…

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Q: Find an equation for the projection of the curve on the xz plane. (Hints: First, figure out from…

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Q: Find the lengths of the curves 1.The curve r = cos^3 (u/3), 0<= u<= pai/4 2. The curve r =…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the equation of the tangent plane R(with an arrow above R)(a, b) = to the surface at the point…

A: To find the equation of the tangent plane for  R→a,b=alnb,bsina,acoshb−1at the point that…

Q: (a) Find parametric equations for the tangent line to the curve -tcost, y-t, -tsint at the point…

A: We have to find parametric equations for given point-

Q: Find an equation of the plane tangent to the following surface at the given points. z= 2 cos (x- y)…

A: The given function: z=f(x, y)=2 cos(x-y)+2 The given points: To find the equation of tangent plane:…

Q: The uniform 25 Ib-f ladder in the figure below rests against the smooth wall at B, and the end A…

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Q: Find parametric equations for the tangent line at the point (cos(−4π/6),sin(−4π/6),−4π/6) on the…

A: Given parametric equation of given curve is x=cos(t), t=sin(t), z=t Differentiate with respect to t.…

Q: Find all points on the cardiod SELECT ALL r= a(1- cos(0)) where the tangent line is A) B) vertical.…

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Q: a) Find the equation of tangent line of curve that is given by parametric equations X = 3cost + sint…

A: (a) Given  parametric form of curve is…

Q: A curve is parametrized by the given equations. Find the equation of the tangent line to the curve…

A: Equation of the tangent line

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A: Given query is to find the parametric equation of the tangent.

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Q: A curve C has parametric equations x = e' , y =t- Int, where t>0. (i) Show that there is no tangent…

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: We have to find standard parametrization for the given tangent line.

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: a)Find the equation of the tangent line to the curve and find a set of parametric equations for the…

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Q: Find the length of the curve The curve r = (1 + sin 2u)^1/2 , 0 … u … pi(2^(1/2))

A: We have been given the curve  r=1+sin2u where 0<u<π

Q: 'n 1932, Giuseppe Momo was commissioned to build the famous Vatican Museum double spiral staircase.…

A: At first we have to find the parametric equation of the spirac staircase. Then we have to find its…

Q: 1. Find the second derivative of the parametric equations x = a cos t and y = b sin t 2. Use second…

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: Let r(t) be a curve, the derivative r'(t) is a vector tangent to the curve. The equation of the line…

Q: 31. Find parametric equations for the tangent line to the curve of intersection of the cylinders x +…

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Q: Determine of the equation below satisfies Cauchy-Riemann's Equation. f(z) = cos?(z),where z = x + yi

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Q: Find the parametric equations for the tangent line to the curve x = ? - 1, y = f + 1, z = f at the…

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Q: 3IZ 21 C 2 3 3 y

A: With the given information, r(t),x(t),y(t),z(t).... Let us start the solving the problem step by…

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Find parametric equations for the line segment from (8, 3, 1) to (3, 5, -2). (Use t parameter t.)…

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Q: Find a parametric description r(t) for the following curve. The line segment from (1, 2, 3) to (5,…

A: Given : The line segment from (1, 2, 3) to (5, 4, 0). Let Now,

Q: 2. Eliminate the parameter to find a description of the shape graphed by the para- metric curves…

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Find an equation of the plane tangent to the following surface at the given point. V3 cos (xyz) =…

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Q: Determine

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Q: Find the lengths of the curves 1. The cardioid r = 1 + cos u 2. The curve r = a sin^2 (u/2), 0<=…

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Q: Find parametric equations for the tangent line at the point (cos(), sin(), ) on the curve z = cos t,…

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: r(t)=5t2i + (5t+1)j + 5t3k t=t0=4

Q: Find the parametric equations for the tangent line to the curve x=t^2−1,y=t^4+1,z=t^4 at the point…

A: Given: x=t2-1, y=t4+1, z=t4 Point 8, 82, 81, is for t=3 as you can see substituting it in the three…

Q: Find the length of the curve. The cardioid r = 7(1 + sin 0)

A: Given: The arc length of the cardioid is calculated by using the following formula,

Q: Find the tangent plane to the equation z= 4e at the point (12, 24, 4) Question Help: OVideo Submit…

A: We have to find

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Find the unit tangent vector to the curve defined by 7 (t) = (3 cos (t), 3 sin(t), 5 sin (t)) at t =…

A: we have  r→(t)=3cos(t),3sin(t),5sin2(t) at t=2π3we have to find T→2π3=?and parametric form of…