5. Given the region R on the right, use vertical strip, SET UP the double integral that will solve its area. (1,1) Z
5. Given the region R on the right, use vertical strip, SET UP the double integral that will solve its area. (1,1) Z
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
Chapter5: A Survey Of Other Common Functions
Section5.2: Power Functions
Problem 17E: Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height...
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Answer number 5 only
![Do as indicated.
1. A certain province widely cultivates maize crops during the dry season. The average weight (in
tons) of the harvested crops is modelled by h(x, y, z)=240+y²ln(√27-2), where z is the
average amount of rainfall, y is the amount of nitrogen in the soil, and z is the number of plants
infected by several vector-borne viruses.
a. What is the total average weight of the harvested maize crops at the end of the planting
season if y=2.86, z = 32, and 8-e?
b. Compute for h(0,0,0). Justify your result.
c. Find the domain of the function h.
In(4xy)
2. If w
du
- cos(2yz - 3), zlog(t), y4e and zsin(-1). Find dt
3. Use Lagrange multipliers to solve for the dimensions of a closed right circular cylindrical can with
smallest surface area whose volume is 27 in".
4. Evaluate the double integral given by
[f
5. Given the region R on the right, use vertical
strip, SET UP the double integral that will
solve its area.
1
-dydz
I
(1, 1)
y = √z
Z
y=r³
THE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a5e350f-0835-49bf-9d6a-aba123106e53%2Fa67c262e-06ec-4d07-bcff-e439b57f7350%2F9xg8py_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Do as indicated.
1. A certain province widely cultivates maize crops during the dry season. The average weight (in
tons) of the harvested crops is modelled by h(x, y, z)=240+y²ln(√27-2), where z is the
average amount of rainfall, y is the amount of nitrogen in the soil, and z is the number of plants
infected by several vector-borne viruses.
a. What is the total average weight of the harvested maize crops at the end of the planting
season if y=2.86, z = 32, and 8-e?
b. Compute for h(0,0,0). Justify your result.
c. Find the domain of the function h.
In(4xy)
2. If w
du
- cos(2yz - 3), zlog(t), y4e and zsin(-1). Find dt
3. Use Lagrange multipliers to solve for the dimensions of a closed right circular cylindrical can with
smallest surface area whose volume is 27 in".
4. Evaluate the double integral given by
[f
5. Given the region R on the right, use vertical
strip, SET UP the double integral that will
solve its area.
1
-dydz
I
(1, 1)
y = √z
Z
y=r³
THE
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