Q9: If u = -2x²y + y³, show that u is harmonic and find the analytic function f(z) = u + iv.

Q: Please

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Q: Let h(x,y)=esqrt(y-x^2) Find the domain and range of h and sketch the domain of h.

A: Domain and Range:     Let 'f' be a real-valued function of two variables 'x' & 'y'. Then…

Q: Find the inflection point of the curve f(x)=2x³ – 18x²+ 30x. О а.3 O b. 3/2 С. 9 O d. None

A: We have to find out point of inflection

Q: Find all analytic functions f = u + iv with u(x, y) = x² - y². Simplify the expression f(2) as much…

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Q: Explain which the function are analytic or not: F(z) =2xy – i(x² –- y²) |

A: A function fz=fx,y=u+iv , where u and v are functions of x and y, is said to be analytic if it…

Q: Derivative of y = 16 is: a) 1 b) 0 Derivative of f(x) = - 6x + 2 is: a) - 4 b) 2 Derivative of g(x)…

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Q: Find for Domain and Range of the function f (x,y) = /49 – x2 – y²

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Q: · Use the definition of the derivative of complex function to show that f(z) is not dif- ferentiable…

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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).…

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Q: Create a 3-D plot of the function sin(/x² + y²) Vx² + y² for -8 <x5 8 and –8 < x < 8.

A: Note: Here, we are considering -8 ≤ x ≤ 8 and -8 ≤ y ≤ 8 rather than -8 ≤ x ≤ 8 and -8 ≤ x ≤ 8. We…

Q: F(x, y) := x² + xy + y² – 1 y – x2

A: Solve the given problem.

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

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Q: For the curve 2² - 4xy² = y³ +9, do the following:

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Q: 9.8 Perform the same calculations as in Example 9.5, but for the tridiagonal system: 0.8 -0.4 XI 41…

A: Given tridiagonal system 0.8-0.4-0.40.8-0.4-0.40.8x1x2x3=4125105 The objective to perform the…

Q: Let f(z) = 2z? – 3–ze" +e**. Describe this function in detail.

A: A function is an equation that relates an input to an output. A function can be written as…

Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

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Q: Use sign charts for the first and second derivatives to graph y = 40x³ – 147x² + 180x – 73 on the…

A: We know  when f'&gt;0 then function increasing when f'&lt;0 then function decreasing when f''&gt;0…

Q: Determine if the function f (z) = y + xi is analytic. you must show detailed work

A: we have to check if the function  f(z)=y+xi

Q: The domain of the function fod- tanh(17-) is (A, 198), Then The value of k- The value of A=

A: Let us consider the given function f(x)=tanh-1x The domain of the function is  x∈(-1,1) The range of…

Q: Determine the point at which the function is not analytic iz² – 2z ƒ(z) = 3z + 1 - i

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Q: If f(2) = (3z)²a² z+2/a find and simplify f(/@). %3D

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.