Simplify the given expression below.
|10 - 11| =
Find the indicated quantities for the given equation f(x)=3x2f(x)=3 x^2f(x)=3x2. (A) The average rate of change of f(x) if x changes from 1 to 4. (B) The slope of the secant line through the points (1, f(1)) and (4, f(4)) on the graph of y=f(x). (C) The slope of the secant line through the points (1,A(1))(1, \mathbb{A}(1))(1,A(1)) and (1+h,f(1+h)),h≠0(1+h, f(1+h)), h \neq 0(1+h,f(1+h)),h=0. Simplify your answer. (D) The slope of the graph at (1,f(1))(1, f(1))(1,f(1)). (E) The instantaneous rate of change of y=f(x)y=f(x)y=f(x) with respect to xxx at x=1x=1x=1. (F) The slope of the tangent line at (1,f(1))(1, \mathbb{f}(1))(1,f(1)). (G) The equation of the tangent line at (1,f(1))(1, f(1))(1,f(1)).
Write the rational expression in simplest form. x2+3x−40x2−3x−10\frac{x^{2}+3 x-40}{x^{2}-3 x-10}x2−3x−10x2+3x−40
Simplify each of the given radical expressions.
646\sqrt[6]{64} 664