1- Determine a such that the given function is harmonic u = z coshnz 2- Evaluate (CW) 6. dz, C:

Q: Using the triangle inequality, find the range of the function y = 2+4sin r.

A: Given: y=2+4sinx we know that  sinx∈-1,1

Q: For the function y=3 sin (2x-Tt/2) +4... 2 points find a ,b &c* y X

A: Given,  Wave function: y= 3sin(2x-π/2)+4 We need to calculate the value of a, b and c for this wave…

Q: Given the functions f and g where f:R> R, f(x)=-4x² +2x+1 and g:R→ R, g(x)= 2x² – 5. Find fo g. A.…

A:

Q: QI: Drawing the Function Y = sin(x) X=0: pi/20 :2*pi and using the line of the color ( Magenta )…

A:

Q: a) Prove that the following functions are harmonic and find for each function its harmonic…

A: The given function is, 2excosy,x2+2x-y2. Consider a function f(x,y)=u(x,y)+iv(x,y) is an analytic…

Q: Sketch the graph of r = 4 sin over each interval.

A: Given, r = 4sinx, we have to sketch the graph of the given function in the following intervals.

Q: 3. Consider the functions f: R → R defined by f(0) = 4 + sin 0 and g: R → R defined by g(0) = sin…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Match each graph with its equation. f(x, y) = sin(x) f(x, y) = x³ | f(x, y) = x² + y av - ✓ | f(x,…

A: The given two variable functions are, fx, y=sinxfx, y=x3fx, y=x2+yfx, y=y2fx, y=x2-y2 We have to…

Q: 3. Which graph represents the function f given by F(8)=cos(8) ? Explain.

A: Range if cos function is [-1,1].

Q: Discuss the difference between harmonic and conjugate harmonic function. Also find the analytic…

A: The given problem is to discuss the difference between harmonic and conjugate harmonic function and…

Q: For the trigonometric function shown below f(x) 5+ 4- 3- 2- -20-16-12-8-4, 8 12 16 20 4+ -5- Give…

A: Amplitude : It is the maximum separation between the mean and extreme position of the graph.…

Q: : +♡ العنوان solle Anotsmi A: Find the range and domain of of focos2 2x-3 C: If B: Find a formula…

A: Step 1:Step 2:Step 3:Step 4:

Q: 3. Consider the functions f: R → R defined by f(0) = 4 + sin and g: R → R defined by g(0) = sin 20.…

A: The given functions are fθ=4+sinθ and gθ=sin2θ. To Explain: (A) Functions f and g both have…

Q: dz and Q\ let z = In (r² + 1) where r =r sin 0 find dr dz de

A:

Q: A. Verify Clairaut's Theorem for the given function: F(U,W) = Sin(UW)- 4U?w2 %3!

A:

Q: Let f(x) = arctan + arccos (sin x), find and simplify.

A: Given function: We have to find  and simplify.

Q: 4. y = Ae bx are cosax + Bebx sinax, where a and b(lowercase) parameters. (not to be eliminated)

A:

Q: xsin x 13. Consider the function y=- 1+ cos x a. Does this function have any restrictions on its…

A: The given function y=x sinx1+cosx We have to find the restriction of domain and its derivative.

Q: e - e-r 5. Given that f(x): find f(r) %D note: this is called the sinh function

A: given function   f(x) =ex-e-x2

Q: 5. This video showed you strategies for graphing y = csc x based on the fact that it is the…

A: Given That : y=sec(x) To Plot : plot the graph of y=sec(x) using cos(x) function

Q: What do the functions y=sin x and y=cos 2x have in common? 30 1. period - 2T II. maximum value of y…

A: The given functions are

Q: 8. Which of the following periods BEST describes this function, y = tan (x- T/3) ? А. 2тт 9. What is…

A: Trigonometric functions are given and we have to identify the period.

Q: sintx² + y?) • l + Il -x-y

A: 1. Given             sin(x2+y2)

Q: 2. Function: y = 2 cos ( 2.5x +) 2n 3n 5n 3 4 6 0° 30° 45° 60° 90° 120° 135° 150° 180° 7n 11n 2n 6 4…

A: Let us find the amplitude, period and displacement of the given SHM in the next steps.

Q: − cos(3x − 4) + 11 have? C. 1. Which of the following does the function y = - a. reflection in the…

A: Let's analyze the given function, y = -cos(3x - 4) + 11 and determine which transformations it…