19.18. Show that each of the following functions-call each one u(x,y)– is harmonic, and find the function's harmonic partner, v(x, y), such that u(x, y) + iv(x, y) is analytic. Hint: Use C-R conditions. (a) x³ – 3ry?. (b) eª cos y. (c) x² + y² where x² + y² 0.

Q: race the following curve( x^2+y^2)x=2x^2+y^2   With all steps

A: The given curve is x2+y2x=2x2+y2. Trace the given curve with steps. x2+y2x=2x2+y2

Q: 1 Find the derivative of f(x) = V7+4x2 - 5.x2 +9

A: we apply chain rule in the first part and division rule in the second part

Q: (1)x 2 0 -1 -6 -5 -3 -2 -1 0 t 1 2 3 4 5 6 Determine the generalized derivative of r(t) and plot it.…

A: Equation of a straight line is y-y1=y2-y1x2-x1(x-x1)when (x1,y1) , (x2,y2) are any two given…

Q: Find the 2nd derivative and please explain. given: x^2 +4xy +y^2 = 2

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Q: Why does the tangent function get undefined at some points? Please explain

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Q: Find the points on the curve y= (x-1) (x^2-4) where the tangent line is parallel to y= -4x. Please…

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Q: Determine the family of curves such that at each point the slope is given by 2xy^2

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Q: Provide a summary of the formulas that concern both processes of differentiation and integration.…

A: Integration and Differentiation are two very important concept in calculus : These are used to study…

Q: Explain what method can we use instead of a Newton method when we don't want to find a derivative?

A: To find: Method can be used instead of newton method when we do not want to find a derivative.

Q: This answer is incorrect, could you please attempt it again?

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Q: sketch this:  y= 1/4x^4 -x^3+90.   show important points/features (including how to find relative…

A:

Q: x^2+y^2-1=0 Please answer it with explanation. Show it step by step and use implicit…

A: In implicit differentiation, we differentiate each side of an equation with two variables (like x…

Q: What is the derivative of w = z^7-5z^6+10

A:

Q: ind th

A: Given function is: y=14sin2x We have to find the first derivative of the above function.

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

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Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: find a x-coordinate of the point on the curve xy=x^3-2/3x^2+2x+1/12, where the tangent line is…

A:

Q: Construct an equation where the derivative of said equation is 1. Please involve quotient rule in…

A: To construct an equation where the derivative of said equation is 1. To involve the quotient rule in…

Q: Explain what it means if a' . b = 0

A:

Q: Find the derivative of f(x) = (2x^2-x-1)(sqrt of x) %3D

A: A detailed solution is given below.

Q: how is v^t calculated

A: In the calculation of actuarial present value of a pension that pays $50,000 per year as long as at…

Q: plot the curve where (y^2)-2 /(y+3) = x^3/x+4, including all interesting features. match slopes at…

A: Here, By differentiating with respect to x