Is F = μsN an exact equation or an empirical/approximate model? Is it possible to take...

Is F = μsN an exact equation or an empirical/approximate model? Is it possible to take into account the fundamental interactions? Include reasons for your answer.

Expert Solution

genius_generous answered 3 months ago

Derive a three-point formula with the highest possible order (of h) to approximate f '(a) and...

Derive a three-point formula with the highest possible order (of h) to approximate f '(a) and f "(a), respectively, using f(a − 2h), f(a + h), f(a + 2h).

Take one step of Newton’s method to approximate a solution to the complex equation z ^5...

Take one step of Newton’s method to approximate a solution to the complex equation z ^5 − 1 = 0, with z0 = i. Simplify your result to identify the real and imaginary parts of your approximation. What is the nearest actual root?

Determine whether the equation is exact. If it is exact, find the solution. If it is...

Determine whether the equation is exact. If it is exact, find the solution. If it is not, enter NS. (8x^2−2xy+5)dx+(8y^2−x^2+8)dy=0

Question 3: Exact Differential Equation i. Test to see if the following equation is exact, if...

Question 3: Exact Differential Equation i. Test to see if the following equation is exact, if exact solve for the general solution (??/??) +(2? ????+?^3?^?)/(?^2cos?+3?^2?^?)=0 ii. Solve (?+????)??+(?????−2?)??=0 iii. Solve (?^2+?)??+(?^?−?)??=0 iv. (2?−3?)??+(2?−3?)??=0 I am sorry I could not send a photo. Whenever I try from the app it posts another question on the same page. I tried doing them individually and the only thing that happened was that the same question got posted 4 times. I would appreciate your...

The following integral equation for f : [-a, a] -----> R arises in a model of the...

The following integral equation for f : [-a, a] -----> R arises in a model of the motion of gas particles on a line:

a) Determine whether the given differential equation is exact. If it is exact, solve it. (If...

a) Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (2xy2 − 5) dx + (2x2y + 4) dy = 0 b) Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate integrating factor. (6 − 20y + e−5x) dx − 4 dy = 0

Determine whether the equation is exact. If it is exact, FIND THE SOLUTION. If not write...

Determine whether the equation is exact. If it is exact, FIND THE SOLUTION. If not write NOT EXACT. A) (y/x + 12x) + (lnx - 3)y' = 0 x>0 Solve the given initial value problem. B) (12x2 + y − 1) − (14y − x)y' = 0, y(1) = 0 y(x) = Determine at least approximately where the solution is valid. (Enter your answer as an inequality for which the solution is valid when true.) The solution is valid as long as:...

Apply Newton’s method and the modified method to the equation f(x) = 1−cos(x−5) to approximate the...

Apply Newton’s method and the modified method to the equation f(x) = 1−cos(x−5) to approximate the a double root 5. Compare the results and demonstrate the superiority of the modified method. Numerically identify the rates of convergence of both the methods.

Determine whether the given differential equation is exact. If it is exact, solve it. i) (x...

Determine whether the given differential equation is exact. If it is exact, solve it. i) (x 3 + y 3 )dx + 3xy2 dy = 0, Ans. x 4 + 4y 3x = C ii) (y ln y − e −xy) + (1 y + x ln y) dy dx = 0, Ans. not exact iii) (e −x sin y − 3)dx − (3x 2 − e x sin(2y))dy = 0, Ans. not exact iv) (xy − 1)dx + (x...

cosxdx + [7+(2/y)]sinxdy = 0 Find if the equation is exact. If it is exact, solve....

cosxdx + [7+(2/y)]sinxdy = 0 Find if the equation is exact. If it is exact, solve. If it is not exact, find an integrating factor to make it exact, verify that it is exact and solve it.

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