Let C be the curve of intersection of the spheres x? + y + z? = 11 and (x – 2)² + (y – 2)² + z² = 11. Find the parametric equations of the tangent line to C at P = (1, 1,3). It is known that if the intersection of two surfaces F(x, y, z) = 0 and G(x, y, z) = 0 is a curve C and P is a point on C, then the vector v = VFp × VGp is a direction vector for the tangent line to C at P. (Use symbolic notation and fractions where needed. Enter your answers as functions of parameter t in a form r(t) = (x(t), y(t), z(1)) = ro + vt, where ro is the corresponding coordinate of point P.)
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
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Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
section 14.5 question 13
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