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Dx+Dy = e b. -D r + Dx + I + y = 0 C
Dx+Dy = e b. -D r + Dx + I + y = 0 C
You are an antenna engineer and you are asked to design a high directivity/gain antenna for a space-borne communication system operating at 10 GHz. The specifications of the antenna are such that its pattern consists basically of one major lobe and, for simplicity, no minor lobes (if there are any minor lobes they are of such very low intensity and you can assume they are negligible/zero). Also it is desired that the pattern is symmetrical in the azimuthal plane. In...
36. Evaluate Llet (e® + y2)d«r + (3.r – sin(y?))dy 1 along the curve C=C + C2 + Cz shown at right. -2 0 20 3
both pls
1) Which of the following operator(s) is/are Hermitian? a) id/dy? b) d/dy2 c) id/dy You may assume that the functions on which these operators operate are appropriately well behaved at infinity. (Hint #1: .. P dy = f. y pudy where the integral hudu = Uv - Sudv. Hint #2: Use y = e) 2) In each case below show (in the space provided directly) that F(y) is an eigen- function of the operator A and find the...
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
explain please
2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
5. Evaluate the following differentials (a) det? (b) d sinh ở (c) dx sin (d) do y 6. Find the exact values of the following expressions. Justify your answers using the definitions of they hyperbolic functions. (a) sinh (In 3) (b) cosh (In 3) (c) tanh (In 3) 7. Suppose cos 2 + siny = 1 (a) Use implicit differentiation to find y' = dy. Simplify your answer as appropriate. (b) Use implicit differentiation to find y" dy. Simplify your...
a) dy de d b) de dy dx
a) dy de d b) de dy dx