 # Questions & Answers

### Find the principal unit normal vector to the curve at the specified value of the parameter: R(t) = ti + (4/t)j where t=2

The question aims to find the unit normal vector to the curve at the specified value of the parameter. The question is based on the concept of vector

### What assumption(s) are frequently made when estimating a cost function?

The aim of the question is to find the two assumptions which are considered while estimating the cost function. The basic concept behind estimating

### Solve the initial value problem for r as a vector function of t.

Differential Equation: $dfrac{dr}{dt} = -ti – tj -tk$ Initial Condition: $r(0) = i + 2j +3k$ This problem aims to find the initial value of a

### Identify the surface whose equation is given. ρ=sinθsinØ

The aim of this question is to find the surface corresponding to the Spherical Coordinates $p=sintheta sinphi$ by utilizing the Cartesian Coordinate

### Find the first partial derivatives of the function f(x, y) = (ax + by)/(cx + dy)

The aim of this question is to find the first-order partial derivatives of an implicit function made up of two independent variables. The basis for

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