G is the surface that is expressed by the vector function below: R (a, b) = < a² – b + 1,b – 1,4a – 3 > (a,b ) E R². | The task is to determine an equation of the tangent plane to G at the point where (a, b) = (1,1)

Q: he vector v = , is tangent to the surface x2 + 2y3 - 3z2 = 3 at the point (2, 1, 1).  Find a.

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Q: Consider the following function and point F f(x, y) = /E (a) Find the unit vectors in the direction…

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Q: Check that the point (1,-1,2) lies on the given surface. Then, viewing the surface as a level…

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Q: tangent plane

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Q: 8) Given z =f (x.y) =1- (x² +4y2) ,Find : a)The vector function, 10 normal to the surface of f at…

A: This is problem of vector calculus.

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Q: Substituting these expressions into the system shown earlier yields the following system. (cos…

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Q: 1) Find the distance from the point (1, 2, 3) (a) XZ plane to the (b) Z axis

A: In this question we will use basic of geometry i.e concept of 3D geometry. We will first plot the…