a) To find the width of triangle at depth y is f ( y ) = y 2 .

Question

Want to see the full answer?

Answer 1

Question

Chapter 9.2, Problem 4E

To determine

a)

To find the width of triangle at depth $y$ is $f (y) = \frac{y}{2} .$

To determine

b)

To find out the thin strip of thickness $Δ y$ at depth $y$ .Explain why the fluid force on a side of this strip is approximation equal to $ρ g \frac{1}{2} y^{2} Δ y$

To determine

c)

To find out an approximation for the total fluid force $F$ on a side of the plate as a Riemann sum and indicate the integral to which it converges.

To determine

d)

To calculate $F$ .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3,4, -32) for the function f(x, y, z) = In -4x -5y- Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate to 4 decimal places

Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3 and Ay = 0.05. dz = Now find Az and compare it to your answer above Ax= Hint: If entering a decimal, round to at least 5 places

Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and Ay = -0.15. dz Now find Az and compare it to your answer above Az = Hint: If entering a decimal, round to at least 5 places

Answer 2

Question

Chapter 9.2, Problem 4E

To determine

a)

To find the width of triangle at depth $y$ is $f (y) = \frac{y}{2} .$

To determine

b)

To find out the thin strip of thickness $Δ y$ at depth $y$ .Explain why the fluid force on a side of this strip is approximation equal to $ρ g \frac{1}{2} y^{2} Δ y$

To determine

c)

To find out an approximation for the total fluid force $F$ on a side of the plate as a Riemann sum and indicate the integral to which it converges.

To determine

d)

To calculate $F$ .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 9.2, Problem 4E

To determine

a)

To find the width of triangle at depth $y$ is $f (y) = \frac{y}{2} .$

To determine

b)

To find out the thin strip of thickness $Δ y$ at depth $y$ .Explain why the fluid force on a side of this strip is approximation equal to $ρ g \frac{1}{2} y^{2} Δ y$

To determine

c)

To find out an approximation for the total fluid force $F$ on a side of the plate as a Riemann sum and indicate the integral to which it converges.

To determine

d)

To calculate $F$ .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 9.2, Problem 4E

To determine

a)

To find the width of triangle at depth $y$ is $f (y) = \frac{y}{2} .$

To determine

b)

To find out the thin strip of thickness $Δ y$ at depth $y$ .Explain why the fluid force on a side of this strip is approximation equal to $ρ g \frac{1}{2} y^{2} Δ y$

To determine

c)

To find out an approximation for the total fluid force $F$ on a side of the plate as a Riemann sum and indicate the integral to which it converges.

To determine

d)

To calculate $F$ .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 9.2, Problem 4E

To determine

a)

To find the width of triangle at depth $y$ is $f (y) = \frac{y}{2} .$

To determine

b)

To find out the thin strip of thickness $Δ y$ at depth $y$ .Explain why the fluid force on a side of this strip is approximation equal to $ρ g \frac{1}{2} y^{2} Δ y$

To determine

c)

To find out an approximation for the total fluid force $F$ on a side of the plate as a Riemann sum and indicate the integral to which it converges.

To determine

d)

To calculate $F$ .

Answer 6

Chapter 9.2, Problem 4E

To determine

a)

To find the width of triangle at depth $y$ is $f (y) = \frac{y}{2} .$

Answer 7

Chapter 9.2, Problem 4E

To determine

a)

To find the width of triangle at depth $y$ is $f (y) = \frac{y}{2} .$

Answer 8

To determine

b)

To find out the thin strip of thickness $Δ y$ at depth $y$ .Explain why the fluid force on a side of this strip is approximation equal to $ρ g \frac{1}{2} y^{2} Δ y$

Answer 9

To determine

b)

To find out the thin strip of thickness $Δ y$ at depth $y$ .Explain why the fluid force on a side of this strip is approximation equal to $ρ g \frac{1}{2} y^{2} Δ y$

Answer 10

To determine

c)

To find out an approximation for the total fluid force $F$ on a side of the plate as a Riemann sum and indicate the integral to which it converges.

Answer 11

To determine

c)

To find out an approximation for the total fluid force $F$ on a side of the plate as a Riemann sum and indicate the integral to which it converges.

Answer 12

To determine

d)

To calculate $F$ .

Answer 13

To determine

d)

To calculate $F$ .

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 17

Ch. 9.1 - Prob. 1PQ Ch. 9.1 - Prob. 2PQ Ch. 9.1 - Prob. 3PQ Ch. 9.1 - Prob. 4PQ Ch. 9.1 - Prob. 5PQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E

a) To find the width of triangle at depth y is f ( y ) = y 2 .

Solution Summary: The author explains that the solution obtained for y is f (y) = Y 2. Then, they determine an approximation for the total fluid force F on a side of the plate.

Videos

a)

To find the width of triangle at depth $y$ is $f (y) = \frac{y}{2} .$

b)

To find out the thin strip of thickness $Δ y$ at depth $y$ .Explain why the fluid force on a side of this strip is approximation equal to $ρ g \frac{1}{2} y^{2} Δ y$

c)

To find out an approximation for the total fluid force $F$ on a side of the plate as a Riemann sum and indicate the integral to which it converges.

d)

To calculate $F$ .

Want to see the full answer?

Chapter 9 Solutions

a) To find the width of triangle at depth y is f ( y ) = y 2 .

Solution Summary: The author explains that the solution obtained for y is f (y) = Y 2. Then, they determine an approximation for the total fluid force F on a side of the plate.

Videos