Give an arclength parametrization of the line which is the intersection of the tangent planes of z=x^2+y^3 at points (1, -1, 0) and (1, 2, 9)?

Q: Find the tangent line to the Curve t) =(sin 4), cos (t),+> at (0,l,0) क

A: We are given parameteric equation of curve .

Q: Consider the curve y = 10 + 4x − x^(2) at (x, y) = (3, 13). Find a vector, v, that has length 4 and…

A: Given the curve y=10+4x-x2 at (x,y)=(3,13).

Q: et C be the curve of the intersection of the two surfaces a² +} = z and 4x2 +y} +? =9. nd let L be…

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Q: find the equation of the tangent plane and normal line to the surface x^2+y^2-2xy-x+3y-z^2 at point…

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Q: За and the equation of the tangent line to the curve at the point (a,b) is y = 2 - If f(x) = -x- x +…

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Q: For the function f(x,y)=x^3−2x^2y−y^2−y, which vector is normal to the level curve at the point…

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Q: Show that the tangent at P(x,,y,) on the curve -1 Vx+Jy=Ja is yy, ,=a

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Q: A baseball leaves the hand of a pitcher 6 vertical feet above and 60 horizontal feet from home…

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Q: Find the equation of the tangent plane to the surface z=e^x+y+y^3+9 at the point (0,1,12). z=

A: The equation of the surface is z=ex+y+y3+9. We have to find the equation of the tangent at a point…

Q: gravity and wind.

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Q: Find one normal vector of the tangent plane to f(x, y) = cos(x² +y²) at point P(1,1, cos 2).

A: As we know the expression of the normal vector to the tangent plane at a point on the curve can be…

Q: Find the implicit equation of the tangent plane to z = e + x + x² + 12 at the point (6, 0, 55).

A: Given: z=ey+x+x2+12 Point (6,0,55)

Q: an object is moving in 3-dimensional space with velocity vector v(t)=(sin(t),t,t^2) starting at…

A: Consider the given velocity vector: vt=sint,t,t2 Find the position vector: Integrate velocity vector…

Q: A particle moves along the path y = x^3 with unit speed. How fast is the tangent turning (i.e., how…

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Q: How do I find the bounds in which I integrate a curve that is rotated about an axis?

A: To find the bounds, it is necessary to check whether we have to find the surface area or volume. In…

Q: give two example of tangent vector on manifold

A: Manifold is a topological space that which is almost similar to a euclidean space near to each of…

Q: Determine the slope of the tangent to the curve 1 Ax) = Vx + ÷+2 at x = 1 %3D A D을 1 B글 C4

A: Given f(x)=x+1x+2 at x=1 Find Slope of the tangent to the curve at x=1 slope,m=f'(x) at x=1

Q: Find the parametrization of the curve defined by the intersection of the two surfaces y = x^2 − 3z^2…

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