The time, t, in minutes, needed to warm a frozen package of smoked salmon to T degrees Fahrenheit is given by 40 t(T) = 100 ln 40

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

A: Solution

Q: where w(t) is measured in 74 (c) The grain in the silo is spoiling at a rate modeled by w(t) = 32 ·…

A: c) To find : The amount of grain remain unspoiled in the silo at time t=8 Given that : The amount of…

Q: 12. Find the time required for an object to cool from 300°F to 250°F by evaluating 300 10 1 t= dT In…

A:

Q: Solve the initial-value problem for x as a function of t . da (2t3 – 212 + t – 1)- 9, x(2) = 0 dt

A:

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: A 80-kg cyclist on a 19-kg bicycle starts coasting on level ground at 30 m/sec. Use v = vo e (-k/m)t…

A:

Q: Solve the initial-value problem for a as a function of t . dx (t² – 6t + 5). = 1, (t > 5, x(8) = 0)…

A:

Q: new fast-rood firm predicts that the number or anchises for its produc Will grow at the rate dn =…

A:

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…

A:

Q: The position of a moving particle is given by s(t) = 2t2 – 18t on 2 <t< 9 where 's' is in meters and…

A:

Q: The concentration of pollutant bacteria e in a lake decreases according to c = 70 e 1.5t + 25…

A: Given c = 9, then 9 = 70e-1.5t+25e-0.075t, we can rewrite it as f(t) = 70e-1.5t+25e-0.075t-9

Q: Water is flowing into a conical vessel 20 cm deep and 10 cm across the top when the depth of water…

A:

Q: Solve the initial-value problem for a as a function of t . da (t – 13t + 42)- = 1, (t > 7, ¤(9) = 0)…

A:

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

A:

Q: The population of a city (in millions) at time t (in years) is P(t) = 2.6e0.002t where t = 0 is the…

A:

Q: Apply Newton’s method twice to approximate 7^(1/3) . Use the initial approximation x0 = 2

A: We have to find the approximation of the expression 713 and we have to use the Newton Raphson method…

Q: Use differentials to find the approximate value of y: (2x – 1)* when x = 0.98. O (E) None of the…

A: Given :f(x)=2x-14x=0.98

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

A:

Q: A ball is thrown upward from a height of 12.5 m at an initial speed of 30 m/sec. Acceleration…

A: Consider the height: H=12.5 m and initial speed: u=30m/sec The velocity function is given by v(t)=…

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

A:

Q: 11) A brake company is testing their brakes. When the brakes are pressed fully, it creates a…

A: When the brake is applied then  deceleration a = - 25 ft/s2 Car travelling speed v = 100 ft/s Let…

Q: A tank initially holds 10 gal of fresh water. at t=0, a brine solution containing 1/2 lb of salt per…

A:

Q: Show steps please.

A:

Q: 32. In a healthy person of height.x inches, the average pulse rate in beats per minute is modeled by…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Solve the initial value problem for x as a function of t.. dx (? - 15t + 56). = 1 for (t> 8), x(9) =…

A: Given that      (t2-15t+56)(dx/dt) = 1 for (t&gt;8), x(9)=0 Here we have to find the initial value…

Q: A tank initially holds 10 gal of fresh water. at t=0, a brine solution containing 1/2 lb of salt per…

A: Given that, A tank initially holds 10 gal of fresh water. At t=0, a brine solution containing 1/2 lb…

Q: A particle moves along the x-axis so that at time t > 0 its velocity is given by v(t) = 3t² – 30t –…

A: topic - quadratic equations

Q: Sand is leaking from a bag in such a way that after t seconds, there are t2 S(t) = 50 (1 –) ³ pounds…

A: First derivative with respect to time gives us the rate at which something is happening. Here in…

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

A:

Q: A particle moves along the x-axis so that at time t > 0 its position is given by x(t) = 3t3 - 27t2 +…

A:

Q: The equation for the amount Q of an antibiotic in the bloodstream at time t is Q = Ae-kt. %3D dQ 1.…

A: Q=Ae-kt Q is the amount of antibiotic in the bloodstream at time t Now we take derivative at time t…

Q: A ball is thrown upward from a height of 3.6 m at an initial speed of 63 m/sec. Acceleration…

A:

Q: dC = 8 – In(t? – 2t +4), 0<i512 where t dt A body assimilates a 12-hour cold tablet at a rate…

A: Here, we have  dCdt=8-ln(t2-2t+4) ⇒dC=[8-ln(t2-2t+4)]dt⇒∫0Cnet1·dC=∫t=0t=12[8-ln(t2-2t+4)]dt Thus,…

Q: Q2] Find the currentữ), 1>0 if L. “ + RI + I(T)dT = si n t 1 L = 1,R = 3, C =5(0) = 1

A:

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

A:

Q: A body falls in a medium offering resistance proportional to the speed at any time "t". If the…

A:

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A: We have to slove the derivative

Q: 2. Matter cools governed by = -k(T – B) where ß is the dt temperature. Clearly T(0)=25 degrees and…

A: Given, dTdt=-kT-β where β is the room temperature, i.e. surrounding temperature. Newton's Law of…

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

A:

Q: The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial…

A: Plug t=1 and t=3 then simplify. Answer(a): f(1)= 54 ft f(3)=54 ft

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

A:

Q: A particle moves along the X-axis so that at time t>0 its position is given by x(t)= 2t3 +…

A:

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A:

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

A:

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

A:

Q: (130t 5)m Estimate the maximum possible Suppose in the measured value of E, where E (1.13 t0.005)kg…

A: Given,

Q: A particle moves along the x- axis so that its position at the time t is given by x(t) = 21 – 9t²…

A:

Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

A:

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.…