A particular specie of animal has a carrying capacity of K and a growth rate of r. From an  initial population of N0, what will be its population after a very long time? Show your complete calculations.

Q: Q: Solve by iteration methods the following 2X + Y+ 6z= 9 8X + 3Y + 2Z= 13 X + 5Y + Z= 7 X=2 Y=4…

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

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Q: ve: (dy/dx) = [(5y - 2x) /(4x – y )] %3D

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Q: n(A U B) = 200, n(A N B) = 50, and n(A) = 110 %3D %3D Find the value of y.

A: Follow the steps.

Q: Find plane area inside polar function r 2 and outside polar function r= -2sint in thisd quurter.

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Q: R? R? 12- y? 12 + y? if (z, y) # (0,0) (r, y) + if (1, y) = (0,0) • The function f is it continuous…

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Q: 2) 3) 12 4) 5) 미. 미이미。 미 미 미 미우 미위미위 미 미 미유 키4 2_3

A: 2. 2540-2440=140

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

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Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

A: Given equation is z2 + y2 + x2 = 4

Q: [a, b, ci] If A, = [d, e fi] [a2 b, c2] A2 [d2 e2 ] [az bz c3 Az = [d3 ez f3] and are any 2 x 3…

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Q: Let E be the solid inside the sphere a? + y? + z? = 8z and above the plane z = 4, and let S be the…

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Q: 3. Find the area of the surface cut from the nose of the paraboloid x = 1-y²-z2 by the yz-plane. Do…

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Q: 10 x? + sin(y) = 20 x + 5 y %3D

A: Follow the steps and python script.

Q: [1 2 If D = 2 -1 0 3 and E = , find 0 3 2 -1 [1 5 6 If F = |7 1 3.G 4 0 6] and H = |2 1 7 [4 5 1 [5…

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Q: Q4) Find plane area inside polar function r = 2 and outside polar function r= -2sine in third…

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Q: Q2) Solve the D.E xy(x² + 1)dy -(y² + 1)dx = 0 %3D

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Q: Q3. Tangents are drawn from 0(0,0) to the circle x2 + y? – 2x + 4y + 1 = 0, touching the circle at L…

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Q: n(A U B) = 155, n(A N B) = 30, and n(A) = 105 %3D What is n(B) ?

A: We have given the values n(AUB)=155 , n(AnB)=30 and n(A)=105 . Then to find n(B) .

Q: Q10: Following are the differential equations and their respective solutions. Select the incorrect…

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Q: mplex numbers are 5 + 5/3i) and z2

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Q: 5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x ,y 4.

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Q: O Evaluate the following integral using Partial Fractions Method: x3 + x2 y : dx x2 1

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

A:

Q: Q4) Find plane area inside polar function r = 2 and outside polar function r = -2sine in third…

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Q: If T : R? → R² is a linear transformation such that 7 (1) - 5 34 6 30 T and T 21 then the standard…

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

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Q: Q4) Find plane area inside polar function r 2 and outside polar function r = -2sine in third…

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Q: One letter of the name "EXTRA" is selected at random. Find the probability that the letter selected…

A: One letter of the name  EXTRA is selected at random

Q: Equality of Matrices 1. Find a, b, c, x, y, and z to make matrices A and B equal if 1 B = x +1 b – 2…

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Q: Find the Green function of L[x] = x" on [–1, 1].

A: As per the question we have to find the Green Function of the operator L , defined as : L[x(t)] =…

Q: Find area inside r=2eos6 out side

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Q: Suppose a1, a2, a3, a4, and ag are vectors in R³, A = (a1 | a2 | a3 | a4 | a5), and [1 0 -5 5…

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 Y 2 3 4 -1 4 6. 6 00

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Q: The shaded region R is bounded by the lines y = 0, x = 5, and the curve y = Vx – 1 as shown in…

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Q: Pe/ Use fixed-point method to ind the real root of equation 3. X°=6X_4 on the interval Co,)). put Xo…

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Q: There are 12 chips numbered from 11 to 22 in a bag. A chip is drawn at random from the bag. Let A be…

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Q: у (0) %3D —2, у(0) ||

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Q: Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x2 ,y 4.

A: Here we can use triple integral to find the volume of the solid. Volume of a solid using triple…

Q: For n successive Bernoulli trials with probability p of success on each trial, the mean number of…

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Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C = {1, 6, 7}. Find :ANB = O {1, 2, 3, 4, 5, 6,…

A: Given A = { 1, 2, 3, 4, 5, 6} B = { 2, 4, 5, 6} C = { 1, 6, 7}

Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

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Q: Q5) Find volume of body bounded by z = -y? from below and z = x? from above inside y = 0,y = x,x =…

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Q: A class adviser surveys 35 of his students on the kind of pets they have at home. He found that 15…

A: We want to find number of students have none of given pets.

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r= -2cose in second…

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Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

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Q: Problem 2. Forward elimination changes Ar=6 to a row reduced Rx = d. Suppose that the complete…

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

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Q: QI) Evaluate the integral , S, dy dx using polar coordinate

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Q: Three coins are tossed, what is the probability showing of no tail ?

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Q: O Prove that G(Vatienal number bers)is negrigibleset

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