5.19. In this problem f(z) = P and R > 1. Modify our computations in Example 5.14 as follows. exp(iz) z²+1 YR (b) Show that |exp(iz)| < 1 for z in the upper half plane, and conclude that |f (z)| < for sufficiently large |z|. -R R (c) Show that limr→∞ = 0 and hence limr-00 Si f = %. -R,R] (d) Conclude, by just considering the real part, that cos(x) dx = e -00

Q: 3x - 5y= -13  -2x + 3y = 8

A:

Q: 6r - 5r

A: We use exponent and multiplication.

Q: Questionzi y²-ZY-% yzt 51-36

A: The given expression,     y2-2y-8y2+5y-36

Q: 4. (x2 + 5x -6)(3x-4)

A:

Q: y = x2 + 6x |y = x² + 6x -5 -4 -3 -2 -1

A: y y=x2+6x y -5 y=(-5)2+6(-5)=25-30 -5 -4 y=(-4)2+6(-4)=16-24 -8 -3 y=(-3)2+6(-3)=9-18 -9…

Q: 3x-y x-3y 6x 6x Simplify

A: A detailed solution is given below.

Q: x+3y=2 4x+2y=18

A:

Q: 7x - 4y = -3 -3x + 4y = -1

A:

Q: Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

A: We will substitute v = xy to solve the given differential equation. after substitution the…

Q: B= (2,}

A: Given expression is: B=z22

Q: Simplify the expression.

A: Here we have to Simplify the expression. A=(2x3y)2(3x-1y2)

Q: 2x,+x,-7 X; + Xz - 3x, = -10 6x, – 2x3 + X4 = 7 %3D 2x, – 3x, =13 =D13 |

A:

Q: TC 3X-X²

A:

Q: Find VU 5х - 1 11x + 1 T U 16

A: Given, VU= (5x-1)   UT= (11x+1) and     VT=16

Q: find the value of x 2х - 8 x+2 2х- 5 x+1

A: Using segment relationship a×b=c×d.

Q: 2x + 4y + 6 + 2y - 5 + 3x =

A: Given 2x+4y+6+2y-5+3x=______

Q: 3x-2(x-4)+x Simplify

A:

Q: 7. -4X - 2y = -12 4x + 8y = -24

A: To solve for x and y. -4x-2y=-124x+8y=-24

Q: 2x+5y=-4 -2x+3y=20

A: The given equations are 2x + 5y = –4 and –2x + 3y = 20. Add the given equations as follows. Thus,…

Q: (2x-y)2

A: Given,

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

A:

Q: 2y-4&gt;-6 and 3y+1&lt;13

A:

Q: Multiply. (5x - 7)(5x +7) (5x - 7)(5x + 7) = (Simplify your ansv

A:

Q: Solve the given differential equation : dy x² – 2xy = 3y*, y(1)=1/2 dx

A: We will find out the required solution.

Q: 2x-4y=-22 2x-3y=-19

A:

Q: Multiply. (-x+3)23= D

A: To multiply  (-x+3)²

Q: (4x+7)° (2r + 5)

A: Let the lines be l and m and the angles be X and Y.

Q: 3x - 4y = 1 3x-2y = -1

A: Denote the equations. 3x-4y=1            ...13x-2y=-1            ...2

Q: completely signify (2x/y-1/3)-1

A: Given expression is

Q: Simplify (3x4 / y)-3

A:

Q: simplify 8a+20a

A: Simplify the expression.

Q: (2b+5)(b - 1)

A: