When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after t hours is modeled by D(t) = 90e-04t How many miHigrams of the drug remain in the patient's bloodstream after 4 hours? (Round your answer to one decimal place.) mg

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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### Educational Content

#### Graphs
The image contains two graphs that are mirror reflections across the y-axis. Both graphs are plotted on a coordinate plane with x-axis ranging from -1.5 to 1.5 and y-axis from -15 to 5. The left graph shows a curve starting at a higher y-value and declining as x increases, while the right graph is a mirrored version, starting lower on the y-axis and inclining as x increases. Exact values of the curves are not specified.

#### Mathematical Problems

1. **Problem 4**: 
   
   **Description**: 
   - **Title**: SALGTRIG4 4.2.023 (0/20 Submissions Used)
   - When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after \( t \) hours is modeled by the function \( D(t) = 90e^{-0.4t} \).
   
   **Question**: 
   - How many milligrams of the drug remain in the patient's bloodstream after 4 hours? 
   - **Instructions**: Round your answer to one decimal place.
   
   **Input**: 
   - [Text Box] mg

   **Help**:
   - Options available: "Read It" and "Watch It" for additional resources.

2. **Problem 5**: 

   **Description**: 
   - **Title**: SALGTRIG4 4.2.024 (0/20 Submissions Used)
   - A radioactive substance decays in such a way that the amount of mass remaining after \( t \) days is given by the function \( m(t) = 14e^{-0.01t} \).
   - \( m(t) \) is measured in kilograms.

   **Instructions**:
   - No specific question is written, but context implies calculating the remaining mass after a given time period.

**Help**:
   - Options available: "Read It" for additional resources.
Transcribed Image Text:### Educational Content #### Graphs The image contains two graphs that are mirror reflections across the y-axis. Both graphs are plotted on a coordinate plane with x-axis ranging from -1.5 to 1.5 and y-axis from -15 to 5. The left graph shows a curve starting at a higher y-value and declining as x increases, while the right graph is a mirrored version, starting lower on the y-axis and inclining as x increases. Exact values of the curves are not specified. #### Mathematical Problems 1. **Problem 4**: **Description**: - **Title**: SALGTRIG4 4.2.023 (0/20 Submissions Used) - When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after \( t \) hours is modeled by the function \( D(t) = 90e^{-0.4t} \). **Question**: - How many milligrams of the drug remain in the patient's bloodstream after 4 hours? - **Instructions**: Round your answer to one decimal place. **Input**: - [Text Box] mg **Help**: - Options available: "Read It" and "Watch It" for additional resources. 2. **Problem 5**: **Description**: - **Title**: SALGTRIG4 4.2.024 (0/20 Submissions Used) - A radioactive substance decays in such a way that the amount of mass remaining after \( t \) days is given by the function \( m(t) = 14e^{-0.01t} \). - \( m(t) \) is measured in kilograms. **Instructions**: - No specific question is written, but context implies calculating the remaining mass after a given time period. **Help**: - Options available: "Read It" for additional resources.
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