Problems 51–58 refer to the following slope fields: Figure for 51–58 57. Use a graphing calculator to graph y = 1 – Ce − x for C = −2, −1, 1, and 2, for − 5 ≤ x ≤ 5, −5 ≤ y ≤ 5, all in the same viewing window. Observe how the solution curves go with the flow of the tangent line segments in the corresponding slope field shown in Figure A or Figure B.
Problems 51–58 refer to the following slope fields: Figure for 51–58 57. Use a graphing calculator to graph y = 1 – Ce − x for C = −2, −1, 1, and 2, for − 5 ≤ x ≤ 5, −5 ≤ y ≤ 5, all in the same viewing window. Observe how the solution curves go with the flow of the tangent line segments in the corresponding slope field shown in Figure A or Figure B.
Solution Summary: The author explains how to draw the graph of the general solution of y=1-Ce-x for the differential equation for C=-2,1 and 2
Problems 51–58 refer to the following slope fields:
Figure for 51–58
57. Use a graphing calculator to graph y = 1 – Ce−x for C = −2, −1, 1, and 2, for − 5 ≤ x ≤ 5, −5 ≤ y ≤ 5, all in the same viewing window. Observe how the solution curves go with the flow of the tangent line segments in the corresponding slope field shown in Figure A or Figure B.
Please do questions 8-10, show work and explain Through typing only. Thanks
The data points show a plant's volume y (in cubic centimeters) when it has been given an amount x of fertilizer (in milligrams).
Each figure has the same data points.
However, each figure has a different curve fitting the data.
The equation for each curve is also shown.
Answer the questions that follow.
Figure 1
Figure 2
Figure 3
4000+
4000-
4000-
3000-
3000-
3000-
2000-
2000
2000
1000-
1000
1000-
y=-15.6x+ 402.x+ 605
y=-12.5x + 254x+ 1225
y= -2.1x + 124x+ 1800
(a) Which curve fits the data best?
O Figure 1
O Figure 2
O Figure 3
(b) Use the equation of the best fitting curve from part (a) to predict the volume
of the plant when it has been given 12 milligrams of fertilizer. Give an exact
answer, not a rounded approximation.
|cubic centimeters
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.