4.Chopter Sorviari 4) Let 3 FUCIRIR Piver by U-sin d sinv, Ucasd) lusin o cosV -7...

Question

Question

4.Chopter Sorviari 4) Let 3 FUCIRIR Piver by U-sin d sinv, Ucasd) lusin o cosV -7 (uN EUT U) E IR o, Con stot a) Prove of U t

Answer 1

Answer #1

Flur). (usincсAt, usie in, и Cot) (u,^) U Cntan- R an inat F1 in a cal de»osplim Scuce dF Janult ank Thlo epacas oлe Fosn Not

Answer 2

Similar Homework Help Questions

The proof that there exist isothermal coordinate systems on any regular surface is delicate and will not be take...

The proof that there exist isothermal coordinate systems on any regular surface is delicate and will not be taken up here. The interested reader may consult L. Bers, Riemann Surfaces, New York University, Institute of Mathe matical Sciences, New York, 1957-1958, pp. 15-35. Remark 3. Isothermal parametrizations already appeared in Chap. 3 in the context of minimal surfaces; cf. Prop. 2 and Exercise 13 of Sec. 3-5 EXERCISES 1. Let F:U R2R3 be given by F(u, v) = (u sin...
3. (3 points) Let the surface S be parametrized by r(u, v) = (bcos u, sin...

3. (3 points) Let the surface S be parametrized by r(u, v) = (bcos u, sin u, v) for (u, v) E D where D = {(u, v) O SUST, SU <3}. Set up the iterated integral, but do not evaluate, the surface area JJsdS (I want the iterated integral for du du, and in that order. Do not even try to evaluate this integral!).
how do u do 6? F-'(C-D)= F-'(C)-F-'(D). 4. (10 points) In following questions a function f...

how do u do 6? F-'(C-D)= F-'(C)-F-'(D). 4. (10 points) In following questions a function f is defined on a set of real numbers. Determine whether or not f is one-to-one and justify your answers. (a) f(x) = **!, for all real numbers x #0 (6) f(x) = x, for all real numbers x (c) f(x) = 3x=!, for all real numbers x 70 (d) f(x) = **, for all real numbers x 1 (e) f(x) = for all real...

Let U be as in question 6. Let D = {1, 3, 5, 7} E =...

Let U be as in question 6. Let D = {1, 3, 5, 7} E = {2, 4, 6, 8} and F = {1, 2, 3}. For the following questions state whether each statement is true or false a.)D and E are disjoint. b.)D and E are complimentary. c.)9 ∈ D d.)D ∩ DC = ∅
QUESTION 5 Estimate the Nyquist rate of sin(4t)u(t) (in rad/s) 7. 4 0 8 O 16...

QUESTION 5 Estimate the Nyquist rate of sin(4t)u(t) (in rad/s) 7. 4 0 8 O 16 O None of the above. 4 cos (4t) Estimate the Nyquist rate of- (in ra d/s). 4 16 32 O infinity O None of the above.
DETAILS MCKTRIG8 5.3.051. (-/1 Points] Prove the following identity. sin 30 -3 sine 4 sino We...

DETAILS MCKTRIG8 5.3.051. (-/1 Points] Prove the following identity. sin 30 -3 sine 4 sino We begin by writing the left side of the equation as the sine of a sum so that we can use a Sum Formula to expand. We can then use the Double-Angle Formulas to replace any terms with double angles. After expanding out the products, we can use a Pythagorean Identity to write the expression in terms of sines. sin 30 = sin + sin...

Question 7 (Chapters 6-7) 2+2+2+3+2+4+4-19 mark Let 0メs c Rn and fix r' E S. For a R" consider the followi...

Question 7 (Chapters 6-7) 2+2+2+3+2+4+4-19 mark Let 0メs c Rn and fix r' E S. For a R" consider the following optimization problem: (Pa) min ar res and define the set K(S,) (aER z" is a solution of (Pa)) (e) If z' e int(S), prove that K(S, (0) (1) If possible, find a set S CR" and s* E S such that K(S,) (g) Let SB, 0.1] (rR l2l3 1) (the closed (, unit ball) and consider (1,0)7. Prove that...
(4) Let X be a nonempty set, and let o E Perm(X). The set of fixed...

(4) Let X be a nonempty set, and let o E Perm(X). The set of fixed points of o is fix(0) = {x € X : 0(x) = x}. The support of o is supp(o) = {x EX :0() #x}. (a) Prove that fix(o) U supp(o) = X and fix(on supp(o) = 0. (b) Prove that fix(oº) = fix(0) and supp(02) = supp(o). (c) Permutations o and T in Perm(X) are disjoint if, for all x E X, we have...
Problem 4. Let V be the vector space of all infinitely differentiable functions f: [0, ]...

Problem 4. Let V be the vector space of all infinitely differentiable functions f: [0, ] -» R, equipped with the inner product f(t)g(t)d (f,g) = (a) Let UC V be the subspace spanned by B = (sinr, cos x, 1) (you may assume without proof that B is linearly independent, and hence a basis for U). Find the B-matrix [D]93 of the "derivative linear transformation" D : U -> U given by D(f) = f'. (b) Let WC V...

4 ? 31 NW Let A= 3 7 -8 6 a) Find a spanning set of...

4 ? 31 NW Let A= 3 7 -8 6 a) Find a spanning set of Nul A. How about Col A? b) is ū in Nul A? Is u in Col A? c) is ù in Nul A? Is ū in Col A? d) Is Col A =İR ?