Answered: Let wi and wa be k-forms defined on all… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

See similar textbooks

Related questions

Question

Let wj and w2 be k-forms defined on all of R". Show that wi and wa have the same exterior derivative, that is,
dwi = dw2,
if and only if
Wi = w2 + dn
for some (k – 1)-form 7 on R".

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Which of the following pair of functions is linearly independent? (а) еЗx, е(х-3) (b) 4, sin?x + cos?x (c) 2sin2x, sinxcosx (d) sinhx, (e* – e*)
Let g(z) = (23 + (z? - 1)5). Then the derivative of g is gʻe) = A(2? + (2? – 1)9)*(cP + F z(2? - 1)9), where + (z2 (? - 19)*(c zº + F z(z? - 1)9), where A = B : C = D = F = G =
4. Let f (x) = x³ -x² + 5. a) Find the y-intercept of f. y-intercept: b) Find f' and f", and determine where each are 0 and/or do not exist (DNE). If none, write "none". f' = 0: f' DNE: f" = 0: f" DNE: c) E Do a sign analysis on f' and f". d) Find the intervals on which f is increasing and decreasing. Increasing: Decreasing: e) Find the intervals on which f is concave up and concave down. Concave up: Concave down: f) answers as (x, y) points. Find all local maxima, local minima, and inflection points of f. Be sure to write your Local max: Local min: Inflection point(s): -4 -3 -1 g) Sketch the graph of f.
Get the derivative of the function. Write the final answer in x+jy form 20 20g 2y-1-j4 4.cy+4ry) 20z-20y 20c-j20 t-G22y +y' + 2E 4.ry' 4ry) 20 -20 62 4.ry+4xv)
d) Consider the fourth-order truncation error (0(Ax )4) with the step size Ax and also (-Ax ) then, add them and finally obtain a finite difference approximation for the second-order derivative of U respect x (Uxx (x, t)).
Find all residues of the function 2z+1 z(2-2)' not including the residue at infinity.
linearise R = AT + BT2
Prove that function is not analytic at z=0 by calculating all directional derivatives of the function at related point.
Let the function f: R → R be defined by 1 x2, f(x)= 0, x=0, x = 0.
Find the derivative of y x° In x x° with respect to X ,3 - a) 6x5 – x² b) None of these c) xô ln x 6 x2 + 6x5 d) „5 _ 2² + 6x³ ln x - e) 7x3 - x² -
c) Consider the third-order truncation error (O(Ax )³) with the step size Ax and also (-Ax ) then, subtract them and finally obtain a finite difference approximation for the first-order derivative of U respect x (Ux(x, t)). d) Consider the fourth-order truncation error (0(Ax )*) with the step size Ax and also (-Ax) then, add them and finally obtain a finite difference approximation for the second-order derivative of U respect x (Uxx(x, t)).
8. Which of the following could be differentiated by using implicit rule only? A) x2 + y2 = 9 B) 4x2y - xy = 3x C) 3x5y 50 D) 3xy – y? = 14 9. Which of the following need to contain when applying the implicit differentiation? A) x?y B) 5x C) 5* D) 2x-x2

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS