The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2300t – 270r where t is in hours and t =0 is 8 AM. How many cars pass by during the time interval from 8 to 9 AM? (Give your answer as a whole number.)

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A:

Q: Find the time required for an object to cool from 300°F to 250°F by evaluating, where t is time in…

A: To find the required t, we need to simplify the given integral

Q: The number N of bacteria in a culture is given by the model N = 175ekt, where t is the time in…

A: Given: The number N of bacteria in a culture is given by the model N = 175ekt, where t is the time…

Q: What is the amount of salt in the tank at time t = 0?

A:

Q: The temperature of a sample of a fluid that is being heated in a laboratory is given by h(t) = 30t −…

A: The rate of increase in temperature of a sample of a fluid is given by ht=30t-t2 degree Celsius,…

Q: The traffic flow rate past a certain point on a highway is q (t) = 1400 + 2400t – 210t? where t is…

A:

Q: The traffic flow rate past a certain point on a highway is q(t) = 3000+ 2000t − 300t2 (t in hours),…

A:

Q: The traffic flow rate past a certain point on a highway is q(t) = 1000 + 2400t 450t where t is in…

A:

Q: A 200-gal tank is half full of distilled water. At time t = 0, a solution containing 0.5 lb /gal of…

A: Given that the size of the tank is 200 gallon. Half of it is full, that means 200/2=100 gallon is…

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: Rate of oil production is, D(t) = 3.8e0.04t billions of barrels per year where t is the number of…

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' 1+ e2y •y(0) = 2 (h=0.01) .What is the error in…

A:

Q: For y''+3y'+2y=e^-x, use the variation of parameters formula to find a particular solution. Show…

A:

Q: At any time t, the velocity of a particle moving along the y-axis is given by v(t)= 4t - t^2. The…

A:

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: Let's find.

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: Topic:- exponential growth function

Q: A population of bacteria is growing according to the equation P(t) = 1800e.16t. Estimate when the…

A: A population of bacteria growing according to the equation Pt=1800e0.16t.

Q: A chemical flows into a storage tank at a rate of (180 + 3t) liters per minute, where t is the time…

A:

Q: Suppose a particle’s position is given by f (t) = −2 / t, where t is measured in seconds and f (t)…

A: Given: ft=-2t

Q: Suppose that the amount (in gallons) of water in a tank is given by f(t) = 60e^−.1t, where t is in…

A:

Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 2500 (5…

A:

Q: Water is pumped out of a holding tank at a rate of 7 – 7e-0.11t liters/minute, where t is in minutes…

A: NOTE: Refresh your page if you can't see any equations. . the water leaving the tank at a rate of…

Q: A ball is thrown upward from a height of 6.5 m at an initial speed of 61 m/sec. Acceleration…

A: here we have .................initial height .................initial velocity ..............gravity

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' =- 1+e2y „y(0) = 3 (h=0.01) .What is the error in…

A: According to Euler's method: yn+1=yn+hf(xn,yn), where xn+1=xn+h and h is a considered step size.…

Q: The curved. surface of a rod of length (l) is against the flow of heat. If bot of ends of the rod…

A: Given heart equation is ∂2u∂x2=1c2∂u∂t Since c2=1 So heat equation will be ∂u∂t=∂2u∂x2…

Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation…

A:

Q: The distance traveled in the time interval 0 <t < 4 is given by the following. -4 r4 |t2 + 6t – 16|…

A:

Q: The number of bacteria in culture is growing at a rate of r(t) = 3000e^0.6t. At t= 0, the number of…

A: Given rate at which no. of bacteria growing isr(t)=3000e0.6t

Q: A particle moves along the x-axis so that at time t ≥ 0, its position is given by x(t) = 2t3 - 3t2.…

A: V(t) = d[x(t)]/dt Put, v(t) &gt; 0.

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: The velocity of an object moving in a straight line is given (in m/s) by v(t) = 2t – 3. Find the…

A:

Q: The effectiveness of a medicine is given by E(t) = 2t In t³, where t is time in hours after…

A: Given,  The effectiveness of the medicine Et = 2t lnt3  Where t is time in hours   We have to find…

Q: A ball is thrown upward from a height of 0.9 m at an initial speed of 24 m/sec. Acceleration…

A:

Q: Water is being pumped into a tank at the rate of r(t)= 30(1-e^(-0.16t)) gallons per minute, where t…

A: Water is being pumped into a tank at the rate of

Q: The rate of growth of a microbe population is given by m'(t) = 22t e ,2t where t is time in days.…

A: We will find the number of microbes in first two days.

Q: * The velocity of a particle moving on a straight line is given by v(t) = t²e¯† meters per second at…

A:

Q: The population of a culture of bacteria has a growth rate given by p'(t) = 210 bacteria per hour,…

A: Given data is: The population of a bacteria growth culture is: p't=210t+1r  The increase in…

Q: A cyclist rides down a long straight road with avelocity (in m/min) given by v(t) = 400 - 20t, for 0…

A: A cyclist rides down a long straight road with a velocity (in m/min) given by v(t)=400-20t, for…

Q: The traffic flow rate past a certain point on a highway is q(t) = 1100 + 2500t – 360t? where t is in…

A: Given Data The traffic flow rate certain point of the highway is:  The time at 8 AM is: t=0   The…

Q: The size of a stray cat population at the bay area of a certain city grows at a rate of 7% monthly.…

A:

Q: The population of a city (in millions) at time tt (in years) is P(t)=2.7e0.002tP(t)=2.7e0.002t,…

A:

Q: Consider a tank that initially contains 100 gallons of a solution in which 50 pounds of salt are…

A: Here I am attaching image so that you understand each and every step.

Q: A 200-gal tank is half full of distilled water. At what time (t) = 0, a solution containing 0.5…

A: A 200-gal tank is half full of distilled water. At what time (t) = 0, a solution containing 0.5…

Q: Blood carries a drug into an organ at a rate of 3 cm3/sec and leaves at the same rate. The organ has…

A: Exponential growth/decay is given by dxdy=rici-r0vx here, ri=3= rate of drug entering. and r0=3=…

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

A:

Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2200t – 390,² where t is in…

A:

Q: The population of a city (in millions) at time t (in years) is P(t)=2.8e0.008t, where t=0 is the…

A: Given data:   The expression for the given population at any time t is: P(t)=2.8e0.008t.     The…

Q: A pitcher of buttermilk initially at 27°C is to be cooled by settling in on a place where the…

A: At time t=0 minutes, temperature of buttermilk = 270C   At time t=20 minutes, temperature of…

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: We need to find estimated years and oil barrels.

Q: y+1 =xy- all selutions ?

A: Given y+1=xy'-y'2

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

A: