Sketch the direction field for the following equation:dy/dt = 30-2yBased on your sketch, find the value of lim y(t).1 → +∞O a. +∞O b. - ∞O c. 15O d.-15e. the limit does not existf. the limit depends on the initial value y(0).

We shall use MATLAB to plot the direct field. We are using MATLAB so that the direction field is…

Answered: Sketch the direction field for the…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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Sketch the direction field for the following equation dy/dt = 30-2y Based on your sketch, find the value of lim y(t) a. +∞ Ob. -∞ O c. 15 O d.-15 14+∞ e. the limit does not exist Of. the limit depends on the initial value y(0).