Find the equation for the line tangent to the parametric curve: xy==t3−25t25t2−t4 x=t3−25ty=25t2−t4 at the points where t=5t=5 and t=−5t=−5. for t=5t=5, the tangent line (in form y=mx+by=mx+b) is

Sara needs to take a taxi to get to the movies the taxi charges $4.00 for the first mile and then $2.75 for each mile after that if the total charge is $20.50 then how far was sara’s taxi ride to the movie

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2