At the surface of the ocean the water pressure is the same as the air pressure above the water, 15 lb/in. Below the surface the water pressure increases by 4.34 Ib/in for every 10 ft of descent.(a) Find an equation for the relationship between pressure (P, in Ib/in?) and depth (d, in ft) below the ocean surface.(b) Sketch a graph of this linear equation.P2020아15151010d1343.45Water pressure increases with depth 20아20아15151010dd124134(c) What does the slope of the graph represent?O the increase in pressure per foot of descentO the initial pressure per footO the number of feet descendedO the pressure at the surfaceO the pressure at the lowest point of descentWhat does the P-intercept of the graph represent?O the increase in pressure per foot of descentO the initial pressure per footO the number of feet descendedO the pressure at the surfaceO the pressure at the lowest point of descent(d) At what depth is the pressure 190 lb/in2? (Round your answer to the nearest foot.)ft

Answered: Image /qna-images/answer/799d9649-2998-4197-9b61-8c0749efe772.jpg

At the surface of the ocean the water pressure is the same as the air pressure above the water, 15 Ib/in. Below the surface the water pressure increases by 4.34 Ib/in" for every 10 it of desc (a) Find an equation for the relationship between pressure (P, in Ib/in2) and depth (d, in ft) below the ocean surface. (b) Sketch a graph of this linear equation. 2아 20 Water pressure increases with depth

At the surface of the ocean the water pressure is the same as the air pressure above the water, 15 Ib/in. Below the surface the water pressure increases by 4.34 Ib/in" for every 10 it of desc (a) Find an equation for the relationship between pressure (P, in Ib/in2) and depth (d, in ft) below the ocean surface. (b) Sketch a graph of this linear equation. 2아 20 Water pressure increases with depth

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

At the surface of the ocean the water pressure is the same as the air pressure above the water, 15 lb/in. Below the surface the water pressure increases by 4.34 Ib/in for every 10 ft of descent.
(a) Find an equation for the relationship between pressure (P, in Ib/in?) and depth (d, in ft) below the ocean surface.
(b) Sketch a graph of this linear equation.
P
20
20아
15
15
10
10
d
1
3
4
3.
4
5
Water pressure increases with depth

20아
20아
15
15
10
10
d
d
1
2
4
1
3
4
(c) What does the slope of the graph represent?
O the increase in pressure per foot of descent
O the initial pressure per foot
O the number of feet descended
O the pressure at the surface
O the pressure at the lowest point of descent
What does the P-intercept of the graph represent?
O the increase in pressure per foot of descent
O the initial pressure per foot
O the number of feet descended
O the pressure at the surface
O the pressure at the lowest point of descent
(d) At what depth is the pressure 190 lb/in2? (Round your answer to the nearest foot.)
ft

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