The population, P (in thousands), of a town can be modeled by P= 2t – 6+4, where t 0 represents 1990. During which two years does the town have a population of 8000?

Q: For all numbers x: /x/ > 1/x . Which is the appropriate counterexample? a. 1 b. -2 c. 2 d. -1

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Q: Find a value of n such that y = (x^n)(e^x) satisfies the equation xy' = (x-20)(y)

A: given,     y = (xn) ex satisfies the equation xy1= (x-20) y

Q: The number of apples produced by each tree in an apple orchard depends on how densely the trees are…

A: Given data is : The number of apples produces per acre is  An=n1350-15n

Q: f(x) = -x² + 2r + 15 What is the first (left most on the horizontal axis) zero of this func- tion, r…

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Q: A tennis ball is thrown into a swimming pool from the top of a tall hotel. The height of the ball…

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Q: The time t, in seconds, that it takes a car to accelerate to x mph can be described by t =…

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Q: x²yy' = eY (FINAL answers should be in terms of C)

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Q: Q6. Find the general solution using variation of parameters of y" + 4y = 8tant

A: We have to find the general solution of the given differential equation. For this, we will consider…

Q: On a college campus of 3000 students, the spread of flu virus through the student is modeled by…

A: The logistic growth rate model always produces an exponential function. If the model contains the…

Q: The revenue R of skiing facilities in the united states from 2000 through 2008 can be modeled by…

A: Revenue ModelR=1548e0.0617tWhere t=0 corresponds to 2000

Q: solve the following using variation of parameters: y"+9y=1/4csc3x

A: The given differential equation is y''+9y=14cosc 3xORy''+9y=sin 3x4 The solution using the method of…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

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Q: The population P of a culture of bacteria is described by the equation P = 1300e0.0527 where t is…

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Q: Suppose that the distance an aircraft travelsalong a runway before takeo’ is given by D = (10/9)t2,…

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Q: 9. At time t = 0, a diver jumps from a platform diving board that is 32 feet above the water. The…

A: Given, The position of diver is given by the equation  st = -16t2+16t+32 At t = 0 ;  st = 32 feet…

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D =…

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Q: A fast-food restaurant has a cost of production C (r) = 12x + 95 and a revenue function R(r) = 7x.…

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Q: 3 j = [8] T(0) = 6 -2

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Q: Show that п-2 Ag:1 = E :uk+'4æ + v"n-1Px• k=0

A: Given  Ax:n=∑k=0n-2vk+1qxk\+vnpxn-1

Q: Given the function P(n) = 4nª + 12n³ – 40n? its P-intercept is its n-intercepts are Submit Question

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Q: The number of apples produced by each tree in an apple orchard depends on how densely the trees are…

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Q: The height, h, in feet of a rocket launched into the air from the top of a building is given by h(t)…

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Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

Q: Solve for s in terms of t and u. u = S =

A: Explained below

Q: The time, t, in weeks, needed for the population of fireflies in a field to reach p individuals is…

A: t(p)=45ln[10,000/(18,000-p)] We have to find the population, p when t = 5

Q: Find the consumer's and producer's surplus if for a product D(x) = 16 – 0.006x² and S(æ) = 0.003x² .…

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Q: The number of apples produced by each tree in an apple orchard depends on how densely the trees are…

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Q: Find value of k in the equation kx+8y+11=0 if point X=(10,7) lies on this line

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Q: A car driving along a freeway with traffic has travelled a(t) 3r- 26r +9t+20 meters in t seconds,…

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Q: Solve for t. 4 - 1 - 1 =D4 - 3 -3

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Q: The rocket is on the ground when s(t) = 0, initially att= 0 seconds and then later when it returns…

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Q: The number N of bacteria in a refrigerated food is given by N(T) = 1072 207 +500, 1 ≤ T ≤ 20 where T…

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Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +…

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1…

Q: Solve for t in terms of r and s. r = t-s

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Q: Given the function f(a) V5a + 14, solve for f(a) = 0.

A: Given Data: For f(a) = 0   First, substitute the values of the condition in function and then simply…

Q: T2 3 (x² + T²)¯Z dT T1

A: Consider the given integration as ∫T1T2x2+T2-32dT

Q: Find the general solution by substitution or elimination Q6 A: * = x -2 y +t — х —у+2t dt

A: The system is x'y'=1-21-1xy+t2t Obtain the eigenvalues: A-λI=01-λ-21-1-λ=0-1-λ2+2=0λ=±i The solution…

Q: The time t, in seconds, that it takes a car to accelerate to x mph can be described by t =…

A: The time t, in seconds, that it takes a car to accelerate to x mph can be described by t =…

Q: The value V of a certain automobile that is t years old can be modeled by V(t) =14,293(0.78)t .…

A: Calculation:Part (a):It is given that the value of the car that is t years old can be modeled by…

Q: The population of a colony of squirrels is given by 1500 p(t) %3D 3 + 2e-0.1t

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Q: Find the consumer's and producer's surplus if for a product D(x) = 25 – 0.009x² and S(x) = 0.007x² .…

A: Given  Demand function is Dx=25-0.009x2 and supply function is Sx=0.007x2

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3)r,…

A: Given that: D=53t2

Q: 9. For 1980 through 1995, the number of college degrees D ( in thousands) earned by people in the…

A: To find the model of number of degrees W earned by women use percentage. The given functions are…

Q: The time t, in seconds, that it takes a car to accelerate to x mph can be described by t =…

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Q: 4 f(x) = 2x + 7m (т — х)2

A: For m=9, to to find the extrema of: fx=2x+7m-4m-x2

Q: An initial population, p, of 1000 bacteria grows in number according to the equation 4t p(t) =…

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Q: g(x) = t² - t dt g'(4)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The population of a species is modeled by the equation p(t)= -t4 + 72t2 +225, where t is the number…

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Q: Find the domain: 1.) x2 – y² ± 0

A: First we consider the given function is equal to a constant number which is not equal to zero and…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.