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- What does dr stand for in terms of r(t)?Determine whether the functions f1(t) = 1, f2(t) = t, and f3(t) = t2 are linearly independent or dependent on the interval I: −∞ < t < ∞.Find the linear approximation to the equation f(x,y)=2√xy8f(x,y)=2xy8 at the point (4,8,4), and use it to approximate f(4.23,8.25)f(4.23,8.25)
- A linear figure: F: R ^2 —> R^2 is in shape. F (x) = Ax definedFind the linearization at x=a and then use it to approximate f(b) 1.) f(x)=x4, a=1, b=0.96 2.) f(x)=sin2x, a=pie/4, b=2.02Given the vector-valued function below, solve for the following:a. Domain of Rb. Show that R is continuous at t = 2.c. If f(t) = t^2, evaluate (R◦f)'(-1)