Find parametric equations for the tangent line at (1, 3, 3) to the curve of intersection of the surface z = x²y and (a) the plane x = 1 (b) the plane y = 3.
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: Find parametric equations for the line tangent to the curves of intersection of the surfaces xyz =1…
A: Click to see the answer
Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…
A: Click to see the answer
Q: The two surfaces x2 + y2 + z2 = 6 and 2x² + 3y2 + z2 = 9 intersect at the point(1,1,2). Find the…
A: Given: The two surfaces x 2 + y 2 + z 2 = 6 and 2 x 2 + 3 y 2 + z 2 = 9. The given two surfaces…
Q: 4. Find the parametric equations for the tangent line to the curve of intersection of the y z 1…
A: Given:
Q: Find parametric equations for the tangent line to the curve of intersection of the paraboloid z =…
A: The given curve is the intersection of paraboloid z = x2+y2 and ellipsoid 3x2+2y2+6z2 = 29.
Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…
A: Given surfaces are And the given point P is
Q: Find the parametric equation of the line tangent to the curve of intersection of the cylinder…
A: Click to see the answer
Q: 2. Find an equation of the tangent plane to the parametric surface F(u, v) = (, 2uv, uv?) at the…
A: (2) Consider the provided question,
Q: Solve for an equation of tangent plane and parametric and equations of normal line to the given…
A: Click to see the answer
Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…
A: Click to see the answer
Q: Find parametric equations for the tangent line to the curve of intersection of the paraboloid z =x²…
A: Tangent line to ellipse will be perpendicular to normals of both the surfaces Therefore, The…
Q: 4. Find the parametric equations for the tangent line to the curve of intersection of the y? z1…
A: Click to see the answer
Q: Find an equation of the plane tangent to the surface sin(xyz) = at the point (T, 1,-)
A: sinxyz=12 at the point π, 1, 16. Consider, sinxyz=12⇒xyz=sin-112⇒xyz=π6⇒z=π6xy Differentiating…
Q: 9. Find a parametric equation for the line that is orthogonal to the surface 2 at the point (1, 1,…
A: Click to see the answer
Q: Write parametric equations for the tangent line to the curve of intersection of the surfaces x =…
A: To find: The parametric equations for the tangent line to the curve of the intersection of the…
Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces tan-1(x?…
A: Click to see the answer
Q: find parametric equations for the line tangent to the curve of intersection of the surfaces at the…
A: The tangent line in the solution should be perpendicular to the normal vectors of the surfaces. The…
Q: find parametric equations for the line tangent tothe curve of intersection of the surfaces at the…
A: Click to see the answer
Q: 30. Find parametric equations for the tangent line to the curve of intersection of the cone z = x +…
A: Click to see the answer
Q: Write parametric equations for the tangent line to the curve of intersection of the surfaces x +y +z…
A: We know that the parametric equation of a tangent line to the curve of intersection of the two…
Q: Find parametric equations of the tangent line to the curve of intersection of paraboloid z = x² + y²…
A: We know that tangent line to ellipse will be perpendicular to normal of both the surface. Therefore,…
Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…
A: The given parametric equation is: x=5 ln t , y=4t , z=t3 Given point is: (0, 4, 1) From…
Q: Find parametric equations of the normal line to the surface z = 4 + y² at the point (2, –2, 5) |
A: Click to see the answer
Q: Find the equations of the tangent lines to the curve whose parametric equations are x = 2t2 – 4t +…
A: We find out dy/dx .then we find out value of t at given points and then find slope of tangent line…
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: Write parametric equations for the tangent line to the curve of intersection of the surfaces x +y +z…
A: Click to see the answer
Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…
A: Given To find parametric equations for the tangent line to the curve with the given parametric…
Q: Find parametric equations for the line pass- ng through the point P(1, –1, 3) and perpen- licular to…
A: Given that: Line is passing through P(1,-1,3) and perpendicular to the plane: 4x+3y-2z=6.
Q: 5. Sketch the parametric curve x = t2 – t, y = t³ – 3t and determine the location (x, y and t) where…
A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…
Q: 8. Determine the equation of the plane tangent to z point (x, у, z) 3 (-2, 1, 4). x*y3 at the =
A: Click to see the answer
Q: Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the line…
A: Click to see the answer
Q: Find parametric equations for the line tangent to the curves of intersection of the surfaces xyz =1…
A: Click to see the answer
Q: Find parametric equations for the semicircle x2 + y2 = a2, y > 0, using as parameter the slope t…
A: Click to see the answer
Q: Compute the equation of the tangent plane to the surface: y = 1 - x2 - 2z2 At the point (0, 1, 0)
A: Click to see the answer
Q: 2. Find the equation of the tangent plane to the surface z = 3++ at point (-4, 3).
A: Click to see the answer
Q: 2. Find the equation of the tangent plane to the surface z = 3++ at point (-4, 3).
A: Topic- application of derivatives Tangent to surface
Q: The parametric equations for the line tangent to curve of intersection of the surfaces x? + y² = 8 ,…
A: Click to see the answer
Q: Find the distance from the point (3, 2, 5)to the line with parametric equations x=t,y =l +t ,z = 2 +…
A: The equation of the line in matrix form: xyz = 012 +…
Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…
A: Click to see the answer
Q: Find an equation for the tangent plane to the surface z +4 = ry" cos(2) at the point (4, 1, 0).
A: Use the partial differentiation for finding the tangent plane.
Q: Find the equation of the tangent plane to the surface y = 2x2 - z at the point %3D (0, -1,-2) y+2z =…
A: Click to see the answer
Q: 3) Find the radius of curvature for the parametric curve e-t cost, y = e-t sin t.
A: Click to see the answer
Q: 3) Find the radius of curvature for the parametric curve e-t cost , y = e-t sin t.
A: Given parametric curve is x=e-tcost, y=e-tsint. We know that the Radius of curvature of a parametric…
Q: Find an equation of the tangent plane to the surface at the given point. - . z = 8 —х — у, 3 (3, –4,…
A: Given plane is z=8−83x−y. We have to find the equation of tangent plane to the surface at the point…
Q: List all of the points (x,y) on the parametric curve x=t^3+4t, y=6t^2 where the tangent line is…
A: Click to see the answer
Q: Find an equation of the plane tangent to the following surface at the given point. 1 sin (xyz) =
A: Click to see the answer
Q: Find the equation of the tangent plane to the surface y = 2x2 (0, –1, 2) z at the point O y+ 4z = 7…
A: Click to see the answer
Q: length of the parametric curve defined by x = t³ +2, y = 2tº/2, for 1 <t < 3. e the arc
A: Click to see the answer
Q: Find an equation of the tangent plane to the surface y ln xz2 = 2, at the given point (e, 2, 1) and…
A: Given: ylnxz2=2 at the given point e,2,1
Q: The plane tangent to the surface z +1= re" cos z at (1,0,0) can be represented by the equation X + y…
A: Given: z+1=xey cosz
