The height in st)ofa Slare shot upward from the ground is gluen by s= 89.6t-16.042 where t is the time (in s). what is the greatest height to which the flave goes? A. Snd the deriva tive of the Sunction to be Marimiged. ds dt B. The greatest height to which the flare goes is LType au Inboyen ncleind) Please include the Steps land write neatly. Hand s

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please neatly write down the steps to the solution. Thanks :)

**Problem Statement:**

The height (in feet) of a flare shot upward from the ground is given by the equation \( s = 89.6t - 16.0t^2 \), where \( t \) is the time (in seconds). 

**Question:**
What is the greatest height to which the flare goes?

**Solution Steps:**

**A.** Find the derivative of the function to be maximized.

\[
\frac{ds}{dt} = 
\]

**B.** The greatest height to which the flare goes is _______.

(Type as an integer or decimal)

**Instructions:**

Please include the steps and write neatly. Thank you!
Transcribed Image Text:**Problem Statement:** The height (in feet) of a flare shot upward from the ground is given by the equation \( s = 89.6t - 16.0t^2 \), where \( t \) is the time (in seconds). **Question:** What is the greatest height to which the flare goes? **Solution Steps:** **A.** Find the derivative of the function to be maximized. \[ \frac{ds}{dt} = \] **B.** The greatest height to which the flare goes is _______. (Type as an integer or decimal) **Instructions:** Please include the steps and write neatly. Thank you!
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