1 The population of grasshoppers after t weeks is P(t)=7500+3000 sin for 0

Q: Q 5: (a) Assume that after w months, butterflies' populace in 1000 is calculated as: f (w) = 12w…

A: Assume that after w months, butterflies populace in 1000 is calculated as                      f(w)…

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Q: 1. Suppose that for a certain leaf-cutter ant colony, the birth rate is modelled by: B(t) = 23, 000…

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Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…

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Q: 1. Şuppose that for a certain leaf-cutter ant colony, the birth rate is modelled by: nt B(t) =…

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Q: 2. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by vp(t)…

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Q: 2. Let 1 1 (–18 sin t – 16 cos t 0 3 0 1 A = f(t) = -25 cos t 1 -25 sin t Find the general solution…

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Q: 6. Find all the values of z satisfying sinh z = = -j1.

A: What is Hyperbolic Function: The hyperbolic functions in mathematics are comparable to the…

Q: 1. After getting a job, Jonas started saving a percentage of his annual P(t) = 2.5 cos(0.157t) + 5.2…

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Q: Problem 63

A: Given:

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A: The position of particle is given by, st=-4cost-t22+10

Q: c) The charge on the capacitor in an LRC-series circuit when R 100k Ω, L k H, %3D C = 4 x 10 F and…

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Q: 1. An oscillating current in an electric circuit is described by i(1) = 9e¯' cos(2rt) where t is in…

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Q: a) Consider the initial value problem(IVP); y cos r= TM dy 1 Approximate y(0.5) by using; TMUTM…

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Q: The population sizes of many animal species rise and fall over time. Suppose that the population…

A: p(t)=4048-1250 cos(2π9t)t=0P(0)=4048-1250P(0)=2798P(t)=4700t=?4700=4048-1250 cos(2π9t)652=1250…

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Q: (b) What are the two REAL homogeneous solutions to the ODE? Enter the two solutions separated by a…

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Q: 2. A particle of unit mass moves so that displacement after t seconds is given by x = 2 cos (t - 2).…

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Q: -0.25 Find an approximation for (1 – e**-!) In(1 – cos(,r² - 1))d.r with Simpson's rule -1.25 using…

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Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…

A: Given that I''(t)+36I(t)=g(t), I(0)=4,I'(0)=26 where  g(t)=40sin4t0≤t≤2π02π&lt;t Let's solve for…

Q: A violin string produces a vibration u(x,t)=a sin(2t-x/ 137). cos(A-t)+b sin(14TT-x / 137). cos(E t)…

A: Let us start solving the problem step by step with given u(x,t).... E=?

Q: 11. An object moves along the x-axis so that at any time t2 0, its velocity is given by v(t) = 4 –…

A: Find your answer below

Q: 3. The population of grasshoppers after t weeks where 0≤t≤12 is estimated by P(t)=7500+3000 sin()…

A: Solution

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A: Given, The acceleration of a body, at=-7cos2t-8sin2t,  t≥0 At t=0 sec, Velocity,v=4 msec  and…

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Q: 12 y(t) = 1000 ( 4 +t – COS

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Q: 2. Two separate rabbit populations are observed for 80 weeks, starting at the same time and with the…

A: Since you have asked a multi subpart question as per Bartleby's policy we will solve only first 3…

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Q: Consider the initial value problem: v(t) = cos(t)+ y(t) – 5, v(2) = -1. Use the improved Euler's…

A: Please check step 2 for the solution.!

Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…

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Q: 11) A particle moves along a line so that at time t its position is s(t) = -4 sin 5t, where s(t) is…

A: We will use second derivative test to find time at which maximum veolcity achieved

Q: 1. Suppose that the rate of gasoline consumption in the United States (in billions of gallons per…

A: We shall answer first three subparts as per the guidelines. You can post it again by mentioning…

Q: 13. A particle moves along a line so that at time t, where 0 sts n, its position is given by s(t) =…

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Q: 1. Suppose that for a certain leaf-cutter ant colony, the birth rate is modelled by: B(t): at 23,…

A:

Q: In a dilapidated abandoned building, a cockroach population C(t) (where t is the time in years)…

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Q: 8. The water level in a tank can be modeled by the function h(t) = 8 cos(t) + 11.5, where t is the…

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Q: 17. A particle moves along the x-axis so that at time t > 0 its position is given by x(1) = 12e¯'sin…

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Q: 36 - With p0=0.5 and p1=pi/4 starting point f(x)=cosx-x, find its root when n=0 using Secant Method.…

A: Given: To find the root of the following equation using secant method, f(x)=cos(x)-x Initial points:…

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.