Find an equation of the sphere with radius 2 and center (-2, 6, 8). Consider the sphere in \mathbb{R}^3 given by the equation x^2 + y^2 + z^2 - 4x + 8y = 40. (a) Find the center and the radius of this sphere. ...
Consider the curve given by y + x y = 1 a) Use implicit differentiation to d y d x b) Find the equation of the tangent line to the curve at the point on the curve where y = 1 4 Consider the curve that...
Consider the system: {eq}\displaystyle x''(t) - 6x'(t) + 10x(t) = t \left( 1+5t+\frac{125}{6} t^2 \right) {/eq}. Find a particular solution {eq}\displaystyle x_p(t) {/eq} to this differential equation....