Two species, x and y, coexist in a symbiotic (dependent) relationship modeled by the following growth equations. dx = - 4x + 7xy dt dy = - 6y + 5xy dt a. Find an equation relating x and y if x = 5 when y = 1. b. Find values of x and y so that both populations are constant. ... a. Enter the equation below. = 0

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A: Option (a) is correct. For detail....go through the solution  

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A: Topic = Derivative

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A: use the ratio test for interval of convergence of series .

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A: Topic = Volume

Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

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A: topic - quadratic equation 

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Q: Find the first And 2nd derivative  F(x)= e^x sin4x

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A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

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A: Given: - Figure b is the reflection of y=2x in the line y=x, To find: - An expression for the equat...

Q: Given R(t) =4 cos ti + (1 + 3cost)j + 5sintk. Find the arc length of the portion of R(T) from t = 0 ...

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Q: +oo El-1)» (" – n)" 2" n=1

A: The given series to be tested is  ∑n=1+∞-1nπn-nn2n.   Here, we will use the Root Test: If series ∑n=...

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Q: II. Determine whether the following sequence is convergent or divergent. Justify your answer. {I+u^ ...

A: A sequence unn∈N is said to be monotonic increasing if un'≥0 ∀n∈N A monotonic increasing sequence is...

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A: Here we have to use the ratio test to determine whether the series converges or diverges.  ∑k=1∞2kk!...

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Q: QUESTION 2 Use factoring to solve the equation. Show your work on a separate paper. 3x2+25x -42

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Q: Suppose you deposit $7000 at 6% interest compounded continously. Find the average value of your acco...

A: Average value of account  during the first four years will be

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Q: Factor out −1 from the polynomial.  −3ab − 5ac + 6bc

A: To factor out −1 from the given polynomial. -3ab-5ac+6bc  

Q: Q4) find the relation between x,y such that the point (x,y) is equidistant from the points * ?((7,1)...

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Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find T'(t).

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Q: Topic: First order differential equations Analyze what solution you will use whether it is bernoulli...

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Q: 4. Show how to find a vector ẽ = c – Ab that's perpendicular to b and is a linear combination of b a...

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Q: The weekly cost C, in dollars, for a manufacturer to produce q automobile tires is given by C = 2300...

A: Answer: The solution is as given below:

Q: * = cos(x + y), when x = 0,y = %3D dx

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Q: d'y Find for dr? y = 5x? cos(x) + 13 sin(x) d?y dz? ||

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Q: Given R(t) = 4 cos ti + (1+ 3cost)j + 5sintk. Find || K(t) || at t=. O 2/5 O 1/5 O 2 O none of the a...

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Q: Suppose that the functions fand g are defined as follows. f(x) = -5x²+1 g (x) = /x+3 Find f-g and f....

A: (f-g)(x)=f(x)-g(x)(f-g)(x)=-5x2+1-x+3Domain x+3≥0x≥-3Domain of f-g : x∈[-3,∞)

Q: QUESTION 8 Determina la razón de cambio promedio (ARC) de la función f (x) =x +x4 entre x 0 y x 2

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Q: Let P(x)=-x²³+2x2-6x'-5x'-1 and D(x)=x+1 Determine the remainder when P(x) is divided by D(x)

A: The given polynomial is:Px=-x23+2x12-6x7-5x4-1Dx=x+1To find the remainder.

Q: Activity 2. Tell My Equivalent Direction: Convert the following measurement from one unit to anothe ...

A: Note: -  Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: Using appropriate substitution, csc x cot x the integral S- dx is equal to: e+csc x -Inle + csc x| +...

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: This question is related to differential equation.

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Q: dy yz + yi = 1 when x = 0, y = 4 dx

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Q: solve the equation. (round your answers to four decimal places.) e^2x-8e^x +7=0 x=       (smaller ...

A: topic  - expomemtial equation

Q: The table below gives U.S. lead emissions, L, into the environment in millions of metric tons for 19...

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