(a) Show Dim(Span {X₁, X₂, X3}) = 2.

Q: Show that the function is harmonic and analytic w=3Z² + 4iZ

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Q: $. flx) =3=x*, glx)=x² -4 d) Domain A domain H) Domain

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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: 8. X(2, 4) translated (x + 3, y– 3).

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Q: 1- Suppose A=

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Q: Draw the function y = x^2 + 2x %3D

A: Since, it is a second degree polynomial in x, it is called a Quadratic polynomial which has two…

Q: List the quadrant or quadrants xy > 0 satisfying condition.

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Q: Suppose that x 1 4 + y 1 4 = 2. What is y 00 at the point (1, 1)?

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Q: Find the midpoint of points A(-8,2)and B(-5,-5) graphically.

A: Explanation: Plot the points A and B on the graph. Then draw a horizontal line from A and Vertical…

Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

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Q: Find Range and Null space.

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Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: = Let p¹²-2x+1, p² = 3 +3x+1 and p35x + 10. Let = x³-3x + 4. Is q in me span of pl,p2 and p3?

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Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4