### Find the local maximum and minimum values and saddle points of the function.

(f(x,y)=y^4+4y^2-x^2) The objective of this question is to find the local minimum and maximum values and the saddle points of the given

### Find the vectors T, N, and B at the given point. r(t)=< t^2,2/3 t^3,t > and point < 4,-16/3,-2 >.

This question aims to find the Tangent, Normal, and Binormal vectors by using the given point and a function. Consider a vector function,

### Find a nonzero vector orthogonal to the plane through the points P, Q, and R, and area of the triangle PQR.

Take note of the following points: $P(1,0,1) , Q(-2,1,4) , R(7,2,7)$ Find a nonzero vector orthogonal to the plane through the points $P, Q$, and

### True or False. The graph of a rational function may intersect a horizontal asymptote.

This article aims to determine whether the given statement is true or false. The statement is, “The graph of a rational function may intersect

### Find an equation of the tangent line to the curve at the given point. y = x , (81, 9)

The aim of this question is to deduce the equation of a tangent line of a curve at any point on the curve. For any given function $y = f(x)$,