Q) Two tanks are connected as shown in figure below. Starting from time t-0 the pumping process shown in figure was applied. Find the amount of salt in each tank as a function of time. 4 L/min 8 L/min 2N/L salt 50N Salt 20N Salt 4 L/min 4 L/min 100 L 100 L T1 T2

Q: A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous…

A: Please see the type of inputs.

Q: On a certain highway is the average speed us and miles per hour is related to the amount of…

A: Given  Average speed=46.24mph Slope=0.744mph

Q: 1. [Group Work] Suppose an object has a position function s = p(t) = t³ – 9t² + 24t (where s is in…

A: The given position function is, s=p(t)=t3-9t2+24t. Obtain the velocity value as shown below.…

Q: 7. The sales (in thousands of units) of a new product after it has been on the market for years is…

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Q: Consider a tank with volume 100 liters containing a salt solution. Suppose a solution with 2…

A: According to the given information,

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A: We have to form differential equation for velocity and then solve it to get velocity in terms of μ…

Q: A ball is thrown into the air with an initial upward velocity of 48ft/s. It height h in feet after t…

A: Height as a function of time is    ht=-16t2+48t+4

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A:

Q: A large mixing tank currently contains 55 gallons of liquid oxygen, into which 0.75 gallons of a…

A: Solve the given expression of C in terms of t.

Q: 4. A ball's position, in meters, as it travels every second is represented by the position function…

A:

Q: 19. ƒ(1) = 51²; t= 3, t = 3 + h %3D

A:

Q: A 900-kg rocket is released from a space station. As it burns fuel, the rocket’s mass decreases and…

A:

Q: A conical tank (diameter= 4m, height=5 m) is initially full of water. At time zero, water discharges…

A: Given  Diameter of the tank = 4m Height of the tank = 5m

Q: Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box,…

A: Demand function is  N(p) = 100-4p2 , <=1p<=4.  a) find the average rate of change of demand…

Q: 4 The edge of the spaceship was hit by an asteroid. And due to that, there's a leakage in the fuel…

A: We have to find the rate at which fuel leaking.

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Q: Most often, we move items from one environment to another. A Ph.D rescarcher found that in doing so,…

A: Given, dTdt=kCekt temperature of the object is given as 70° F and C=-10°F Let T0 be the initital…

Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

A:

Q: A billiard ball is dropped from a height of 100 feet. The ball’s height s at time t is the position…

A: st=-16t2+100 a). Average velocity over the interval 1, 2 is, s2-s12-1=-1622+100--1612+1001=36-84=-48…

Q: 2. An object is dropped from a stationary balloon at 500m. (a--9.8m/s²)( a. Express the object's…

A: This is a problem related to newton's law of motion. By using general formula of motion's we will…

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Q: 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate…

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Q: A The cost of fuel per hour of running a jet aircraft, $C, is a function of its cruising velocity, v…

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Q: Consider the graph of distances from the origin as a function of time for a car trip. 150+ 100…

A: We have given graph of distance vs time.

Q: 2. Ms. Jackson has 32 m of fencing to make a rectangular pen for her rabbits. The wall of her house…

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Q: The life expectancy E of a main-sequence star depends on its mass M. The relation is given by the…

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

Q: 5) The temperature of an object as a function of time is given by 373 + (2e-5t – 150)T = 0. dT Find…

A: It is given that,  But at t=0,

Q: Question 13

A: The given function and the number is,

Q: 58. A rectangle has area 16 m2. Express the perimeter of the rect- angle as a function of the length…

A: The perimeter of the rectangle =2(length +breadth) Area of rectangle =length *breadth

Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

A:

Q: A stone is dropped into a lake, creating a circular ripple thattravels outward at a speed of 60…

A: (a) Express the radius of this circle as a function of thetime t(in seconds).

Q: A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous…

A:

Q: A 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate…

A: Lets say there be Q gm of dye  in the tank at a time 't'

Q: A 100-gallon tank is full of a solution containing 23 pounds of a concentrate. Starting at time t =…

A: If the amount of concentrate in the in the tank at time t is Q. then differential equation for Q…

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Q: A body of unknown temperature is placed in a refrigerator at a constant temperature of 0°F. If after…

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Q: A tank that contains 20 gal of water in which 3 kg of salt has been dissolved completely is to be…

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Q: A particle is moving with a position function given by s(t) = 6t² - ³ with position in metres and…

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Q: A ball is thrown straight down from the top of a 300-ft building with an initial velocity of -12 ft…

A: We need to find the velocity after 4 seconds

Q: 1. An object is to travel a distance of 15 meters. Express velocity v as a function of travel time…

A: d= 15 meters   Since velocity is displacement or distance over time, we have: v(t) = d/t v(t) = 15/t…

Q: How many periods of the function y = sec x are there between –Ħ and 3 ? 2 TT -2T -TT 3TT -TT -211…

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Q: A 100 m^3 tank is full of water The water contains a pollutant z at a concentration of 0.5 g/m^3.…

A: (a) let xt be the amount of pollutant at any time t. given initial condition , at t=0 xt=0.5 gm3×100…

Q: A mass of 0.5 kg stretches a spring 0.09 m. The mass is in a medium that exerts a viscous resistance…

A: Resistance is the property of a conductor which resists the flow of electric current through it. To…

Q: tank

A: Please refer to the image below

Q: A 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate…

A:

Q: 2. The point displacement (in cm) of a particle moving back and forth along a straight line is given…

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Q: The velocity of a particle moving along a line is a function of time given by v(t) = = the distance…

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Q: 9) Generate equations that represent the pollution levels P(t) as a function of time, t in years,…

A: Given,when t=0,P(t)=150 (a). P (t) triples every year  P (1)=150*3 P (2)= 150*3*3 Thus P(t)= 150*3^t…

Q: Suppose you are given the graph of an object's velocity over a time interval [a,b]. How can the…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.