Answer all parts otherwise don't solve The length, with w, and heighth of a box change with time. At a certain instant the dimensions are - 8 m and wh- 5 m, and and ware increasing at a rate of 4 m/s while his decreasing at a rate of6 m/s. At that instant find the rates at which the following quantities are changing.(a) the volume (in m³/s)1201x m²/(b) the surface area (in m³/s)m²/s(c) the length of a diagonal (in m/s) (Round your answer to two decimal places.)m/sThe temperature 7 in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1, 2, 2) is 130°.(a) Find the rate of change of Tat (1, 2, 2) in the direction toward the point (4, 5, 3).(b) Show that at any point in the ball the direction of greatest increase in temperature is given by a vector that points towards the origin.Find equations of the following.2(x - 6)² + (y - 5)² + (z- 5)² = 10, (7,7,7)(a) the tangent plane(b) the normal line(x(t), y(t), z(t))= √

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The length, with w, and heighth of a box change with time. At a certain instant the dimensions are - 8 m and wh-5 m, and and ware increasing at a rate of 4 m/s while his decreasing at a rate of 6 m/s. At that instant find the rates at which the following quantities are changing. (a) the volume (in m³/s) 1x m² 120 (b) the surface area (in m²/s) m²/s (c) the length of a diagonal in m/s) (Round your answer to two decimal places.) m/s

The length, with w, and heighth of a box change with time. At a certain instant the dimensions are - 8 m and wh-5 m, and and ware increasing at a rate of 4 m/s while his decreasing at a rate of 6 m/s. At that instant find the rates at which the following quantities are changing. (a) the volume (in m³/s) 1x m² 120 (b) the surface area (in m²/s) m²/s (c) the length of a diagonal in m/s) (Round your answer to two decimal places.) m/s

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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