The equation of an ecologica l system contarining x ond y species are given as de x (2-2x+y) dy = y (2-2y+ x) dt %3D %3D dt a) whoit is the relotion between species ? b) Frnd the equilibrium solutions and plot the trajectories in the phase plane

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Q: 9) Find the point on the line y = 3x - 4 that is closest to (2, 1).

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Q: Find the area of the figure. (Sides meet at right angles.) 11 m 5 m 9 m 9 m 4 m 4 m 3 m 3 m

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Q: Integrate completely

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Q: (2×+5)2xー5 2x -5 3.

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Q: The radius of convergence of the series 2 (n!)2 (x– 2) ² is equal to n=1 3" (2n)!

A: Given series ∑n=1∞   (n!)23n (2n)!(x-2)2

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A: Here, the given vector field is: A=x2zi-2y3z2j+xy2zk

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Q: Differentiate the following functions using logarithmic differentiation y = log√2x + 5

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Q: x² – 25 The antiderivative of - dx is / x2 – 25 – sec-lx+ C.

A: Given,            The antiderivative of ∫x2-25xdx is x2-25-sec-1x+C.To find : To check the…

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A: Use the derivative for the finding velocity of the function

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Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

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Q: Integrate completely

A: Follow next step

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Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

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Q: Question 10

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Q: Suppose f(x) dæ = A. Explain graphically what the value of the integral below is when %3D f (x) is…

A: Suppose ∫0afx dx=A. To explain graphically what the value of the integral below is when fx is an odd…

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Q: sing the four step rule, find the derivative of y = tan(x) %3D

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Q: x²– y² )² Consider the function f (x.y) =| x²+y², Which ONE of the following statements is TRUE? O…

A: We will find limit at (0,0).

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Q: Bx, if x 2 S Suppose that v(x) = Find a value of B such that the function v(x) is continu- ous for…

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Q: A (R - 5) Given the power series E (n - 3) A, xla - 5) n = 2 Use the technique that we covered in…

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A: Given triple integral ∫02∫04-x2∫ 0x+y x+y-z  dz dy dx

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Q: x dx 13. S (6х-x2-5)2

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Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy = 0, we let the substitution dw =

A: the differential equation 4(3x+y-2)dx-(3x + y)dy=0, we let the substitution dw=??

Q: əz Use chain rule to find at where z = e2" sin (30) and r = st – t², 0 = Vs² + t². %3D

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Q: What is the area of the region bounded by the graphs of y = æ and y = 2? Answer is in square units.…

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Q: Write the equation of a sine or cosine function to describe the graph. `y 3 3 3 3 -3-

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