MAT335H1 Lecture Notes - Lecture 4: Problem Set, Mean Value Theorem, Fiz Brown

1n aey cara euve definida implcitamente por 2y -3x-50y halle la ecuación de la linea tangente en el punto (1, 2) 12. Halle y' para la curve definida implicitamente por 2 x-y? - e, y halle la ecuación de la línea tangente en el punto (1, 0)

oo cos(na) f) Σ 1n+1 (use Divergence Test oo Inn n=2 n 4) Determine whether the series is ab 3n n=1 5) Find an expression for the general f) lse the ratio test to find the radi

(1 point) In this problem you will calculate | x2 + 5 dx by using the formal definition of the definite integral: ['sor as- en (įrenad f(x) dx = lim n–00 *)Ax|| _k=1 (a) The interval [0, 2] is divided into n equal subintervals of length Ax. What is Ax (in terms of n)? Ax = 2/n (b) The right-hand endpoint of the kth subinterval is denoted x. What is x (in terms of k and n)? x¢ = (0+2k/n (C) Using these choices for x* and Ax, the definition tells us that ('e es deu em (grammar). x2 +5 dx = lim n+00 f(x)dx : What is f(x; )Ax (in terms of k and n)? f(; )ax = (0+2k/ny^2+5)2/m (d) Express Ef(x)Ax in closed form. (Your answer will be in terms of n.) k=1 n Ëso; Jar - ( (e) Finally, complete the problem by taking the limit as n + w of the expression that you found in the previous part. L'ens de (2,maj - ma