Jc 16.8. For each of the following functions , describe the domain of ana- lyticity and apply the Cauchy-Goursat Theorem to show that %3D 0, where y is the circle |2| 1: 1. (a). f(2) = (b). f(2) = ze-, 22 +2z +2' What about (c). f(2) = (2z- i)-2? 16.9 Lot

Q: 7. What function would produce a graph that is the mirror image of the function y = 3.10*? a) y = 3x…

A: The mirror image is obtained by replacing with 2:

Q: Please

A:

Q: 8. The rectangular function is defined by: A, (0) - {₁ T - sts Plot the following rectangular…

A: All the graphs are plotted below.Explanation:Here are the plots:

Q: 2. (a) Let==1-i. (i) (ii) Plot the position of on an Argand Diagram. == Express in the form = = ae¹,…

A: solution

Q: 24: Find the extreme points of the function f(x) = x + y ху On the circle x+y=2

A: We shall find out extreme points of the function in the next using the a equation of circle.

Q: #8. In each case, sketch the set of points determined by the given conditions (a) /2-1+i/>1 (b)…

A:

Q: (b) Sketch the graph of the function y = 1+ /16 – x²2 for -4 < x < 4. Hint: x2 + y? = 16 is the…

A: Consider the equation of the circle The graph can be plotted for the circle as

Q: What curve is described by the function (t) = (2t + 3) + i(t - 5), 0 ≤ t ≤ 1

A: Step:-1 Given parametric function is ft =2t +3 +i t-5,  0≤t≤1 Here,  x=2t +3  ---(1)y=t-5  ---(2)…

Q: Find all the numbers for which f(x)20 if ƒ(x)= x* +2.x² +x² – 2x – 2. a. x>1. b. 지2-1. c. -1<x<1. d.…

A: First, draw the graph of f(x)=x4+2x3+x2-2x-2 . If the graph of f(x) is above the X-axis for the…

Q: is the graph of y=1/2x+4/3 perpendicular to the gragh of y=-1/2x+4/3

A:

Q: 11. The line 8x - y - 8 = 0 is tangent to the graph of ƒ (x) = (x + k)(x² − 1) at the point (1, 0).…

A:

Q: If y =f (x) is a function in x then prove that f(a + nh) ="C,f(a) +"C, Aƒ(a) +"C,ƒ(@) + +"C, A"…

A: Given: y=fx is a function in x Prove that: f(a+nh)=C0nfa+C1n∆fa+C2n∆2fa+…+Cnn∆nfa…

Q: The line -8x + y = m is tangent to the parabola f(x) = nx² when x = 5. Find the values of m and n.

A: NOTE: Refresh your page if you can't see any equations. . the given tangent line is  here we have…

Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

A:

Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

A:

Q: 5. Figure Q5 shows the graph y = f(x) on the xy-plane. 54 -5- Figure Q5 (a) Does the graph above…

A:

Q: 2. Construct the cubic spline that intersects with function f(x) at these points (1,-5), (0,3),…

A: Given Data: To construct the cubic spline that intersects with function  at the points , ,  and use…

Q: . Sketch the level curves of the function f(x, y) = x² + 2x + y² – 6y corresponding to the z-values…

A:

Q: 4. Use the fplot command to plot the function f(t) lcos(3x)+ sin (4x) in the domain -25 x S2. %3D

A:

Q: o. y = x2 - 4 y-Interoept ( X-Intercept ( ) and (, )

A:

Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: We have to graph the function x24+y216=1 by using the points in the table.

Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

A:

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

Q: 32. (Refer to the graph of f below) On which interval is f concave upward? y4 y= f(x) -2 6 x 8 -2…

A: The solution are next step

Q: 1. Graph the function f(x) = -sec + 3 on the interval -27, 67|. Answer:

A: The function f(x)=-secx4+3 on the interval -2π,6π