. Show that each function is not analytic at any point but is differentiable along the indicated irve(s): ¹) ƒ(z) = x² + y² + 2ixy; x-axis. >) f(z) = 3x²2y² - 6ix²y²; coordinate axes. :) f(z) = x³ + 3xy² - x+i (y³ +3x²y - y); coordinate axes.

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: Is there a real function f(x) that is differentiable only at a point x?

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Q: The level curves of the function f (x, y) = /2x² + y² – 1 are

A: Explanation of the answer is as follows

Q: Consider the function f(x, y) = 3x²+y²-5 x²-2y A. Find and sketch the domain of f. B. Find and…

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Q: Is this function analytic fizz=. (1 +x)? +y2 2

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Q: Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with…

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Q: I what interval is y = 3x5 - 5x³ y=3x55x3 concave downward?

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Q: Consider the relation between r and y defined by the equation r4/3+y4/3 = 10. Find the r-intercept…

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Q: Sketch the level curves of the function z(x, y) = 10- 9 8 7 6 5 4 3 -10 -9 -8 -7 -6 -4-3-2 2 4 5 6 8…

A: Level curves equation   y=-6x/5Explanation:

Q: Let f(x) = x². Find the first coordinate of the intersection point of the two tangent lines of f at…

A: To find: The first coordinate of the intersection point of the two tangent lines of  at -2 and 7.

Q: The x and y coordinates of the inflection point(s) of the function f(x) = x + 21x* is (are): A. No…

A: Solution :-   Given fx = x3+21x2We have to find inflection point for this, we put f''x = 0

Q: (6) Let a be a positive real number. Consider the curve defined by r? + y² – ry = a². Find all…

A: Given curve is x2+y2−xy=a2. Differentiate x2+y2−xy=a2 with respect to x, we get…

Q: Assume that y is a function of x. Find (d2y)/(dx2) for x2y-y2-2(sqrt x)+4=0 at point (1,2) 7/6 8/6…

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Q: We can not find an analytic function f=u+vi such that 3u-v is not harmonic. * True False

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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…

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Q: Let f (2) = 1 Find all the points where f (2)is analytic. z + 3

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

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Q: Find the analytic function if the imaginary part is (2xy + 5y) where u (0,0) = 0

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Q: Find all points at which f(z) = (x)/(x2+y2) - i(y)/(x2+y2) is differentiable. At what points is f…

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Q: Sketch the level curves of the function f(x, y) = = - y² for c= -4,-1, 0, 1, 4. 9

A: The level curves of a function f(x,y) are formed by plotting points (x,y) in the plane where f(x,y)…

Q: Find an sketch the domain of f(x,y)= 16x² – x² –4y². -

A: Given that fx,y=16x2-x2-4y2 To determine the domain of the function. fx,y is only defined for…

Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

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