Question
In: Physics
Consider the function f(x) = cos (bx2), where b = 0.0628cm−2. PLEASE SHOW ALL WORK AND...
Consider the function f(x) = cos (bx2), where b = 0.0628cm−2. PLEASE SHOW ALL WORK AND EXPLAIN THOROUGHLY!
Equation Q12.8: [λx]2=-4π2f(x)d2f/dx2
|
(a) |
Argue that this function has crests at x = 0, 10 cm, 14.1cm, 17.3 cm, 20 cm, 22.4 cm, and so on. |
|
(b) |
Draw a graph of this function and show that it is like a wave whose wavelength decreases as x increases. |
|
(c) |
Estimate this function’s local wavelength at x = 20cm by averaging the distances to adjacent crests on either side of this point. |
|
(d) |
Compute this function’s local wavelength at x = 20cm, using equation Q12.8, and compare the result with your answer for part (c). |
Solutions
genius_generous answered 3 years agoRelated Solutions
Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...
Find a, b, c, and d such
that the cubic function
f(x) =
ax3 + bx2
+ cx + d
satisfies the given conditions.
Relative maximum: (3, 21)
Relative minimum: (5, 19)
Inflection point: (4, 20)
Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...
Find a, b, c, and d such
that the cubic function f(x) =
ax3 + bx2
+ cx + d satisfies the given
conditions.
Relative maximum: (3, 12)
Relative minimum: (5, 10)
Inflection point: (4, 11)
a=
b=
c=
d=
Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...
Find a, b, c, and d such that the cubic function
f(x) = ax3 + bx2 + cx + d
satisfies the given conditions.
Relative maximum: (3, 9)
Relative minimum: (5, 7)
Inflection point: (4, 8)
a =
b =
c =
d =
Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find...
Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2
+ (cos(x))^2 (a) Find the open intervals on which the function is
increasing or decreasing. (Enter your answers using interval
notation.) increasing decreasing (b) Apply the First Derivative
Test to identify the relative extrema. relative maximum (x, y) =
relative minimum (x, y) =
Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find...
Consider the function on the interval (0, 2π).
f(x) = sin(x) cos(x) + 2
(a) Find the open interval(s) on which the function is
increasing or decreasing. (Enter your answers using interval
notation.)
increasing
( )
decreasing
( )
(b) Apply the First Derivative Test to identify all relative
extrema.
relative maxima
(x, y) =
(smaller x-value)
(x, y) =
( )
(larger x-value)
relative minima
(x, y) =
(smaller x-value)
(x, y) =
...
For the given function determine the following: f (x) = (sin x + cos x) 2...
For the given function determine the following: f (x) = (sin x +
cos x) 2 ; [−π,π] a) Find the intervals where f(x) is increasing,
and decreasing b) Find the intervals where f(x) is concave up, and
concave down c) Find the x-coordinate of all inflection points
Please Consider the function f : R -> R given by f(x, y) = (2 -...
Please Consider the function f : R -> R given by f(x, y) = (2
- y, 2 - x).
(a) Prove that f is an isometry.
(b) Draw the triangle with vertices A = (1, 2), B = (3, 1), C =
(3, 2), and the triangle with vertices f(A), f(B), f(C).
(c) Is f a rotation, a translation, or a glide reflection?
Explain your answer.
S(x) is a cubic spline for the function f(x) = sin(pi x/2) + cos(pi x/2) at...
S(x) is a cubic spline for the function f(x) = sin(pi x/2) +
cos(pi x/2) at the nodes x0 = 0 ,
x1 = 1 , x2 = 2
and satisfies the clamped boundary conditions. Determine the
coefficient of x3 in S(x) on [0,1] ans. pi/2 -3/2
2. For the function : f(x) = x2 − 30x − 2 a) State where f...
2. For the function : f(x) = x2 − 30x − 2
a) State where f is increasing and where f is
decreasing
b) Identify any local maximum or local minimum values.
c) Describe where f is concave up or concave down d) Identify any
points of inflection (in coordinate form)
3. For the function f (x)= x4 − 50 2
a) Find the intervals where f is increasing and where f
is decreasing.
b) Find any local extrema and...
Problem 2: show all work A. Find the complement of F = WX + YZ. B....
Problem 2: show all work
A. Find the complement of F = WX + YZ. B. Show that FF’ = 0 C.
Show that F + F’ = 1
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- The correlation between X and Y ______________. Question options: measures the variation around the predicted regression...
- Will iron(III) hydroxide precipitate from a pH = 1.00 solution with [Fe3+] = 1.0 x 10-5?...
- What do you believe happens during the final scene of the story between the brothers at....
- A 5.171 g sample of a solid, weak, monoprotic acid is used to make a 100.0...
- 1. Creep is one of deformation that occurred in concrete structure. Give one example that can...
- Why does a particular codon represent only one specific amino acid?
- Write a function template sort that takes two references to generic objects and switches them if...
ADVERTISEMENT