DA Fank inrtially contains 6O0 L of 5olution in wbich there is dissved 15U .gra. of chemical. A silpun contaimng 5g/2 of he chemico flows cud at å rate of 34n0. Deterinine he concendration f The tunn afJer one houn chemcal
Q: 2. Oil leaks from a damaged, stationary oil tanker at the rate of 30 m3/hr, forming a circular oil…
A: The instantaneous rate of change is the differential of the variable. The rate of change of one…
Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 60cm³/s. How…
A: To find the rate at which surface area is changing
Q: The volume of a cylinder of height 11 inches and radius r inches is given by the formula V 11πr?. dV…
A:
Q: Of a rectangle are chonging at the tates of 1m/s and 2m/s. Sides its When its sides are 30 m and Ao…
A:
Q: is poured into the tank a te of 2 liters/min. Let y(t ial model for (t) and gol
A: The figure as,
Q: The volume of a cylinder of height 12 inches and radius r inches is given by the formula V = 12². dV…
A: Given query is to find rate of change of volume.
Q: A tank initially contains 100L of brine in which there dissolved 20kg of salt. Pure water flows into…
A:
Q: A tenule initially Coutulning25 N(litte cef tu tauk upt uni poram loy strring runs eut at the samé…
A:
Q: A sample of gas is heated with 15.4 kJ of energy while simultaneously expanding to 28.3 L from 2.3 L…
A: We know formula for work done - w = -p∆v
Q: SA Spherical ballon is ingiated With goas at the rate af 20 Cm3min. How fast is the fadtus af the…
A:
Q: Water is fallins on a surface vettins A Greuer arca that is expanäns at a rate of 9/S. hov fost is…
A:
Q: Air is being pumped into a spherical balloon at a rate of 4.5 cubic inches per minute. How fast is…
A:
Q: Determine by approximately what percentage the volume V of a right circular cylinder increases if…
A:
Q: A tank is shaped like an upside-down square pyramid, with base of 5 m by 5 m and a height of 14 m.…
A:
Q: The volume of a cylinder of height 12 inches and radius r inches is given by the formula 12πr. V dV…
A:
Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…
A:
Q: An oil storage tank ruptures at time t = 0 and oll leaks from the tank at a rate of r(t) = 70e-0.05t…
A: Given: rt=70e-0.05t
Q: Detemire follaw ing Hhe R3 50 12 25 32 9750 19250 26548= Linear valle ? Exponential R value ? Power…
A: R 3 5 7 12 25 32 65 100 E 50 200…
Q: Water is flowing into a conical cistern at the rate if 8 cubic m/min. If the height of the inverted…
A:
Q: The length, x, of the edge of a cube is increasing. (a) Write the chain rule fordV/dt, the time rate…
A: The length, x, of the edge of a cube is increasing. a). Consider the volume of a cube, V=x3…
Q: = 4000 1 0 代 50 50
A: Our objective is to calcualate the rate at which the water drains when t=50.
Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…
A:
Q: A liquid has an enthalpy of vaporization of 30.8 kJ/mol. At 275 K it has a vapor pressure of 117…
A:
Q: The original 24 m edge length x of a cube decreases at the rate of 5 m/min. a. When x = 5 m, at what…
A:
Q: The diameter of a circle is increasing at a constant rate of 0.7 meter per second. What is the rate…
A: Given: Diameter is increasing at the rate of 0.7 m/sec.Circumeference =60π
Q: The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. When x = 4 m, at what…
A:
Q: The volume of a cube increases at the rate of 65 m³ /sec. The rate at which the side of the cube…
A: Given, The volume of a cube increases at the rate of 65 m3/sec We have to find the rate of change…
Q: Water is poured into the bucket below at a volume rate of 10 cm³/s. The surface area of the bucket's…
A:
Q: An automobile accelerates from rest at a(t) = 1+3vt mph per second for 9 seconds. What is its…
A:
Q: A tank initially holds 200 gal of a brine solution containing 50 lb of salt. At t = 0, fresh water…
A: After 20 min, the amount of salt present in the tank is 20.33 lbs. Hence, option (3) is correct…
Q: A tank initially holds 100 gal of a brine solution containing 20 lb of salt. At t=0, fresh water is…
A:
Q: # Find the rate of of f at plose,-1) and find the direetion of of the given funetion. gre atest…
A: Greatest increase of function f is magnitude of gradient of function f. Greatest increase of…
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: 2. A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…
A: Given, A ball 6 inches in diameter is to be covered by a rubber material which is 3/16 in thick.…
Q: b) x(t) k =?. = xoe where x is molar concentration and t is time in seconds. xo =?,
A: Given, A(t) =A0 + Apeaksin2πft
Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 70cm³ /s. How…
A: Volume of the sphere , V =43πr3 ; where , 'r' is the radius of the sphere. Surface Area of the…
Q: : B1. The radius of a sphere increases at the rate of 4 m/sec. Find the rate at which the volume of…
A: We have to find the rate of volume increase.
Q: Cuntainr GOULA sulatunr tun cuntaining 597L of the into the fank at a rate cf he well-s7imed mixtuie…
A:
Q: om. Jm LYCB. madashe PmL.GB. madasathss The value of a machine, in thousands of pounds, t years…
A: The value of machines given to us is in thousands. Part(a) The value of the machine is depreciating.…
Q: An oll storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 95e-0.02t…
A: follow next step
Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…
A:
Q: 3. At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of…
A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…
Q: A man 1.8 m. tall is walking at the rate of 1.2 m/s away from a lamp post 6.7 m high. At what rate…
A:
Q: The side of the equilateral triangle increases at a rate of 2m/sec. Find the rate at which the area…
A: Write the expression for area of equilateral triangle and take the derivative of it than put the…
Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…
A:
Q: 1) a car is slowing down at the rate 0.8 ft /sec², How the will the can move before it stops if its…
A:
Q: palloon is inflating at a constant rate of 3 cm' per second. When the volume of the balloon is T…
A: Here we have, inflating rate of a balloon dVdt=3 cm3/sec The volume of the ballon is V=43π cm3
Q: If C(t) = 71.6t e -0.4t ng of a drug in a person's system t hours after the drug is administered,…
A:
Differential equations
Step by step
Solved in 3 steps with 3 images
- A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.Two large tanks, each holding 24 liters of a brine solution, are interconnected by pipesas shown in the figure. Fresh water follows into tank T1 at a rate of 6L/min and fluid is drainedout of tank T2 at the same rate; also 8L/min of fluid are pumped from tank T1 to tank T2 and2L/min from tank T2 to tank T1. The liquids inside each tank are kept well stirred. If, initially, thebrine solution in tank T1 contains 1 kg of salt and that in tank T2 contains 6 kg of salt, determinethe mass of salt in each tank at time t > 0A container holds 200 gal of brine solution containing 50 lb of salt. Initially, fresh water is poured into the tank at a rate of 10 gal/min, while the well-stirred mixture leaves the tank at the same rate. Letting y as the amount of salt at any time t, the mass flow rate at output is maintained at 50. O True. O False. O Partially true. O Insufficient information to state its truth value.
- Find the net change in ve]locity over [1, 4] of an object with a(t) = 8t − t2 m/s2.A cylinder of radius r and height h has volume V = nr 2h.(a) Use the Linear Approximation to show that (b) Estimate the percentage increase in V if r and h are each increasedby 2%.Calculate ∬Sf(x,y,z)dS For x^2+y^2=9,0≤z≤3;f(x,y,z)=e^(−z) ∬Sf(x,y,z)dS= ?
- Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4 t1/2 cm3. After 100 seconds the radius of the balloon is r = 2.121568836 units? sec cm cm^2 cm^3 cm/sec cm^2/sec cm^3/sec . How fast is the radius changing after 100 seconds? dr dt = units? sec cm cm^2 cm^3 cm/sec cm^2/sec cm^3/secA 200-gal tank is half full of distilled water.At time t = 0, a solution containing 0.5 lb / gal of concentrate entersthe tank at the rate of 5 gal/ min, and the well-stirred mixtureis withdrawn at the rate of 3 gal / min. At what time will the tank be full?determine by inspection at least twosolutions of the given first-order IV .15. y- 3y2/3, y(0) 016. xy- 2y, y(0) 0
- Can you find the amount of salt A in the tank at any time t?Suppose that X and Y are independent measurement of a quantity μ. E(X) = E(Y) = μ, σX ≠ σY, Z = αX + (1 - α)Y, α ∈ [0, 1] (a) Show that E(X) = μ. (b) Find α in terms of σX and σY to minimize V(Z). (c) Under what circumstance is it better to use the average (X+Y)/2 than either X or Y alone?36// Engineers working in a factory R&D unit are wanted, which is not noticed among their budgets. Accordingly, Mann Whitney U, which is significant in terms of difference between positions at 05 materiality level, is not for you. a) 24 B) 87 NS) 53 D) 76 TO) 16