For the following model of Newton's law of cooling dT 2(T+ 35), T(0) = 80, %3D dt the ambient temperature is Tm 35°. Select one: O True

Q: After the medical breakthrough, So(t) =1 0<t<w. Calculate w.

A: Solution

Q: A car starts from rest at time t = 0 and accelerates at –0.6t + 4 meters/sec2 for 0 <t< 12. How long…

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Q: For the following model of Newton's law of cooling: dT In(T-25), T(0) = 70, %3D %3D | dt the ambient…

A: in the question it is asked to check whether the ambient temperature is 70° or not.

Q: If a cup of coffee has temperature 94°C in a room where the ambient air temperature is 19°C, then,…

A: To find: The average temperature of the drink C during the first 26 minutes.  Given: The temperature…

Q: Q2. Find an approximation to V9 using 4 steps Newton's method.

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Q: A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A: Using pythagoras theorem;Right angle triangle ABC, x2 + y2 =252      ....(1)

Q: The movement of a particle from time t=0 to t=9 is given by the equation s(t)=−5t2−5t−10. What is…

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Q: Show that g(t) = t / ( t+1 ) takes on the value 0.499 for some tin [0, l].

A: To show that g(t)=tt+1takes on the value 0.499 for some t in [0, 1]. We use intermediate value…

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

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Q: Lets assume that y(t) represents how many fish are harvested in month t. Solve dy/dt =1/(y+yt2) with…

A: The given differential equation is: dydt=1y+yt2 and y0=4 Here t in month To find approximately how…

Q: 3. A lady 1.65 m tall walks towards a lamp post 2.65 m high at a speed of 1.5 m/s. How fast does her…

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Q: An object with an initial velocity of v(0) = 5 has an acceleration of a(t) = t² - 5. What is its…

A: Concept: The acceleration is given by the derivative of the velocity  That is a(t)=dv(t)dt Thus…

Q: Given t2 + 3t – 54 dt f(x) = 1+ cos (t) At what value of z does the local max of f(x) occur? At what…

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Q: Use differentials (that is, linear approximation) to approximate: 3.9 -e 0.05 483 O A. 250 193 О В.…

A: We Use the differential to find out the result.

Q: t +t dt

A: Antiderivative: Integration is the inverse process of differentiation.  The operation of finding the…

Q: (3) Suppose the acceleration of a particle is given by the following function: a(t) = 10t + 3e' m/s?…

A: Given query is to find the displacement of partical when acceleration is given.

Q: The position of a particle at time t (s) is s(t) = t2 + 1 m. Compute its average velocity over [2,…

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Q: A car starts from rest at time t = 0 and accelerates at – 0.61 + 4 meters/sec? for 0 <t< 12. How…

A: Given: a = -0.6t+4 and velocity at t= 0 is 0 Since, dvdt=a, here v is the velocity and a is the…

Q: The velocity v of a falling parachutist is given by (1 – e-(x) gm = where g = 10 m/s?. For a…

A: v=gmc1-e-cmtcvgm=1-e-cmtcvgm+e-cmt-1=0g=10    c=10   v=50   t=10…

Q: Suppose an object in motion has the given acceleration function. a(t) = 2t m/s? Furthermore,…

A: To determine the velocity of the object.

Q: In Winter an aluminum beam was brought from the outside cold into a machine shop where the…

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Q: Solve the initial-value problem for x as a function of t. da (2t3 – 2t? +t – 1) 9, x(2) = 0 %3D dt

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Q: On a different planet, an object is thrown straight upward at an initial speed of 13 m/s and its…

A: We have to integrate the given acceleration function to find the velocity function.  At max. height,…

Q: along the x-axis so that at time t 2 0, the acceleration of the particle is a(t) = 15Vr. ticle is 10…

A: In this question we will use basic concepts of calculus i.e concept of integration. We will use the…

Q: where h is the height of the water, t is time (in sec) and g is gravitational acceleration = 9.8…

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Q: You ARE TESTING A DECRSTINE CLOCK, TO POSSIBLY BE MANUFACTURED BY YOUR CONSUMER ELECTRONICS…

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Q: OP ) at t = 0?t = 2? t = 20? (Be dt 4. How fast is the amount of antibiotic changing (this means…

A: The given antibiotic function is Q=Ae-kt. Differentiate Q with respect to t. dQdt=ddtAe-kt=-Ake-kt…

Q: Find work done from the followingW = G- sec²(3x)- V8) dx witch Gx +9 h used to stretch a spring from…

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Q: please answer the same way above the former one. a) What is the velocity of the particle at t = 2.8…

A: Answer of (a) as follows :

Q: R(t) = In(1+t) + cos(t + /t Fluid leaks out of a bottle at a rate of milliliters per minute, wheret…

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Q: For the following model of Newton's law of cooling dT -2(T+40), T(0) = 70, dt the ambient…

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Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

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Q: The position of a vibrating spring after t seconds is given by f(t) = (1/2) cost − (1/5) sin t…

A: The given position of a vibrating spring is ft=12cost-15sint, where t is the time in seconds.…

Q: Consider the following system: A 3lb weight on a spring stretches it 6 inches. Assuming a damping…

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Q: A mass-spring system is subjected to a single external force F (t) = sin (t), which acts for 0≤t≤2π…

A: Given mass-spring system is subjected to a single external force F (t) = sin (t), which acts for…

Q: If f(t)=2t+sin(t) describes the length of an oscillating spring in m/s, what is the instantaneous…

A: Solution is written in below steps.

Q: A particle moves along the x-axis so that at time t >0 its position is given by x (t) =t² – 10t +…

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Q: The movement of a particle from time t=0 to t=4 is given by the equation s(t)=−5t2−10t−6. What is…

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Q: For the following model of Newton's law of cooling: dT = e (T – 15), T(0) = 70, dt the ambient…

A: Above given is True

Q: f 5 J of work are needed to stretch a spring 10 cm beyond equilibrium, how much work is required to…

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Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

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Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

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Q: .................... ..................... A new fast-food firm predicts that the number of…

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Q: Starting with an initial value of P(0)=55, the population of a crow community grows at a rate of…

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Q: Suppose that a change in biomass B(t) at time t during the interval [0,5] follows the dB equation…

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Q: The acceleration of a particle traveling along the x-axis is given by a(t) = t2 - 2t. What is the…

A: Given: Acceleration function is a(t)=t2-2t. Acceleration function is also written as: dvdt=t2-2t.…

Q: The acceleration, a, of a particle is given by a = 5- 6t Given that the initial displacement at t=0…

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Q: From the following answer what is asked: f(x,y) = x2 e-y , (3,0), v = 3i + 4j d) In which…

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Q: If you invest P dollars in a bank account at an annual interest rate of r%, then after t years you…

A: The rate of change is the percentage change in any quantity over a specified time interval.…