PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Question
Chapter 3, Problem 47CR
a.
To determine
The domain of the function.
a.
Expert Solution
Answer to Problem 47CR
The domain of the function is
Explanation of Solution
Given information:
The time
Calculation:
The given function is
The function is defined when,
And, since, height cannot be less than 0 that is negative. Therefore, the domain of the function is
Hence,
The domain of the function is
b.
To determine
To identify: Any asymptote and graph the function
b.
Expert Solution
Answer to Problem 47CR
The vertical asymptote is at
Explanation of Solution
Given information:
The time
Calculation:
The graph of the function is drawn below:
From the graph the asymptotes is the vertical asymptote at
Hence,
The vertical asymptote is at
c.
To determine
To find: The time required to further increase its altitude when the plane approaches its absolute ceiling.
c.
Expert Solution
Answer to Problem 47CR
As the plane approaches its ceiling, the time required to further increase its altitude further increases.
Explanation of Solution
Given information:
The time
Calculation:
For the function
As the value of h approaches its ceiling that is 18000. The value
Hence,
As the plane approaches its ceiling, the time required to further increase its altitude further increases.
d.
To determine
To find: The amount of time it takes for the plane to climb to an altitude of 4000 feet.
d.
Expert Solution
Answer to Problem 47CR
Time required is 5.46 minutes.
Explanation of Solution
Given information:
The time
Calculation:
To find the time required for the plane to climb to an altitude of 4000 feet.
Substitute
Hence,
Time required is 5.46 minutes.
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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- What is the particular solution to the differential equation y′′ + y = 1/cos t ?arrow_forwardWhich of the following is the general solution to y′′ + 4y = e^2t + 12 sin(2t) ?A. y(t) = c1 cos(2t) + c2 sin(2t) + 1/8 e^2t − 3t cos(2t)B. y(t) = c1e^2t + c2e^−2t + 1/4 te^2t − 3t cos(2t)C. y(t) = c1 + c2e^−4t + 1/12 te^2t − 3t cos(2t)D. y(t) = c1 cos(2t) + c2 sin(2t) + 1/8 e^2t + 3 sin(2t)E. None of the above. Please include all steps! Thank you!arrow_forwardShow that i cote +1 = cosec 20 tan 20+1 = sec² O २ cos² + sin 20 = 1 using pythagon's theoremarrow_forward
- Find the general solution to the differential equationarrow_forwardcharity savings Budget for May travel food Peter earned $700 during May. The graph shows how the money was used. What fraction was clothes? O Search Submit clothes leisurearrow_forwardExercise 11.3 A slope field is given for the equation y' = 4y+4. (a) Sketch the particular solution that corresponds to y(0) = −2 (b) Find the constant solution (c) For what initial conditions y(0) is the solution increasing? (d) For what initial conditions y(0) is the solution decreasing? (e) Verify these results using only the differential equation y' = 4y+4.arrow_forward
- Aphids are discovered in a pear orchard. The Department of Agriculture has determined that the population of aphids t hours after the orchard has been sprayed is approximated by N(t)=1800−3tln(0.17t)+t where 0<t≤1000. Step 1 of 2: Find N(63). Round to the nearest whole number.arrow_forward3. [-/3 Points] DETAILS MY NOTES SCALCET8 7.4.032. ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the integral. X + 4x + 13 Need Help? Read It SUBMIT ANSWER dxarrow_forwardEvaluate the limit, and show your answer to 4 decimals if necessary. Iz² - y²z lim (x,y,z)>(9,6,4) xyz 1 -arrow_forward
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