Let vector B = 5.45 m at 60°. Let vector C have the same magnitude as vector A and a direction angle greater than that of vector A by 25°. Let vector A · vector B = 31.8 m2 and vector B · vector C = 31.5 m2. Find the magnitude and direction of vector A . magnitude m and direction °
A point charge of-3 μc is located at x = 4 m, y =-2 m. A second point charge of 12 μc is located at x 1 m, y = 3 m. (a) Find the magnitude and direction of the electric field at x--1 m, y = 0. X N/C 4. (4%Mlní radottwisefiitorn..x axi::)..: liesai.liries: (counterclockwise from +x axis) < (b) Calculate the magnitude and direction of the force on an electron at x-1 m,y-0 (counterclockwise from +x axis)
| 10 lb y F L ВІ M 45 lb M = 144 lb.in F = 25 lb a = 52 deg L = 14 in d = 6.7 in Replace the shown forces and couples by an equivalent force couple system at point C. Specify the magnitude and the direction of the resultant force measured clockwise from the negative x axis.
Let D be a region in the (a, y)-plane. If a, b, e>0, let Sa be the part of the hyperbolic paraboloid zary in R3 with (x,y) E D, and let Tb,e be the part of the elliptic paraboloid bz2 + суг in R3 with (z.J) D. For a given a > 0, find b, c > 0 such that Tb.c has the same area as Sa
Let D be a region in the (a, y)-plane. If a, b, e>0,...
: points 1 Prenous Answers Seese9 7 P013 Let ขึ = 5 05 m at 60. Let have the same magnitude as A and a direction angle greater than that of A by 25% Let A·Í-28.2 m2 and Find the magnitude and direction of 33.9 m2. magnitude Your response differs from the correct answer by more than 10%. Double check your calculations, m direction Your response is within 10% of the correct value. This may be due to round。" error,...
Problem 1.44 Review Part A All pins are in double shear, each has a diameter of 13 mm, and the average shear stress in each pin is not to exceed 95 MPa. (Figure 1) Determine the maximum magnitude P of the loads that the beam can support Express your answer to three significant figures and include appropriate units P 2810 kN Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Figure 1 of 1 < Return to...
13. Find the length of the part of the curve
y=3/16e^(2x)+1/3e^(-2x) for 0<x<ln2
16 13. Find the length of the part of the curve y-で2" +-e-2x for 0-rS In 2. 29 64 13 16 16
16 13. Find the length of the part of the curve y-で2" +-e-2x for 0-rS In 2. 29 64 13 16 16
Number Theory
13 and 14 please!
13)) Let n E N, and let ā, x, y E Zn. Prove that if ā + x = ā + y, then x-y. 14. In this exercise, you will prove that the additive inverse of any element of Z, is unique. (In fact, this is true not only in Z, but in any ring, as we prove in the Appendix on the Student Companion Website.) Let n E N, and let aE Z...
Problem 1: Let F(, y,) be a function given by F(, y, z) (r2+y)e. Let S be the surface in R given by the equation Fr, y, 2) 2. (a) Find an equation of the tangent plane to the surface S at the point p(-1,1,0) (b)Find the directional derivative -1,1,0) of F(,y,2) in the direction of the unit vector u = (ui, t», t's) at the point p(-1,1,0) - In what direction is this derivative maximal? In what direction is...
When at rest, a proton experiences a net electromagnetic force of magnitude 9.0×10−13 N pointing in the positive x direction. When the proton moves with a speed of 1.3×106 m/s in the positive y direction, the net electromagnetic force on it decreases in magnitude to 7.2×10−13 N , still pointing in the positive x direction Part A Find the magnitude of the electric field. Part B Find the magnitude of the magnetic field