let f be the function defined by f(x)=ln(x^2+1), and let g be the function defined by g(x)=x^5+x^3. The line tangent to the graph of f at x=2 is parallel to the line tangent to the graph of g at x=a, where a is a positive constant. What is the value of a?

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?

Which of the following expressions cannot be simplified to x – 2?

Multiply and simplify 2x^2 y^3 z^2 · 4xy^4 x^2