19. f(x) 3D х 20. f(x) = x? 21. f(x) = x 22. f(х) 3D VE 23. f(х) 24. f(х) %3D |x| 25. f(х) %3D VA 26. f(x) = 3

Q: 2. A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a…

A:

Q: .3 2- S(y² – 4y + 2 ) dy

A:

Q: A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water containing…

A:

Q: 1 max z = 2x, + x2 - x1 + x2 s 1 Xị + x2 s 3 s.t. 2x2 < 4 X1, X2 2 0

A:

Q: How do you solve question 3?

A:

Q: Max Z = x1 + 3xz+ 4x3+ 5 S.t. 4x1+ 3xz+ 2x3 +x4<10 X1 – X3+2x4= 2 Xj+Xz+X3+X21 X1, X2 ,X3, X2 0

A: Phase 1: The Given problem is converted to canonical form by adding slack, surplus and artificial…

Q: 4 (iv) F(s) = s2 +9 2s + 16 (v) F(s) : s2 + 4s + 20 3s – 15 (vi) F(s) %3D 2s2 – 4s + 10

A: The Laplace transform of a function is an integral that converts the real variable into complex…

Q: 2. A tank initially contains 1000 gallons of fresh water. Brine containing 3 lbs/gallon of salt…

A: The time taken for the quantity of salt to reach 100 lbs is 16.80555 minutes

Q: 2. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

A:

Q: A 50 – gallon tank of pure water has a brine mixture with concentration of 2 pounds per gallon…

A: Form the first order differential equation then find its solution to get amount of salt at any time…

Q: Tank A initially holds 100 gallons of brine that contains 150 pounds af salt, and tank B holds 100…

A: Tank A initially holds 100 gallons of brine that contains 150 pounds of salt.Tank B holds 100…

Q: e company wishes to produce both products, but not at equal portions. 60% X’s and 40% Y’s is desired…

A: Given that the company wishes to produce both products, but not in equal portions. 60% X’s and 40%…

Q: V11 10) (z-VT) dz 15 15 A) - V C) - V1ī D) -VIT 11 11 2 В) + 21 2 11) (2x2 + x + 4) dx X + 1125 A) -…

A: We have to integrate

Q: (b) A right-angled triangle has sides of length 3 and æ, and a hypotenuse of length e. Given that (2…

A: Given a right angle triangle has sides of length 3 and x and a Hypotenuse of length l. Given that…

Q: 6 - 3x2 + 3 Find the general antiderivative of f(x) - - - x5 + C

A:

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

A:

Q: max z = 3x, + 2x2 1 1 X1 + 40 X2 < 1 60 s.t. 1 X1 + 50 1 X2 < 1 50 X1, X2 20

A: dual of the given lppmin z=y1+y2s.t.     140y1+150y2≥3      160y1+150y2≥2          y1,y2≥0

Q: Evaluate S ( + - + e²+ =) dz 3 · 3z 21² In x++²x+}x+ + C Option 1 √√(x³)x= √√√x + √2x+C I- Option 2

A:

Q: how would I take the partial derrivitive of this equation, I cannot use the chain Rule as we have…

A: Given function,

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

A:

Q: Jy > -x² + 6x – 12 ly -x² + 6x – 12 ly>x² - 4x – 1 Sy -x² + 6x – 12 Lyzx? - 4x – 1 Syx² – 4x – 1…

A:

Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

A:

Q: Suppose you own a restaurant and have a cook whose ability and attitude you are suspicious of. One…

A: Given,  Sample mean X=182, Sample standard deviation, s = 5 Sample size, n= 12 Population mean, μ =…

Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…

A: The provided information is:

Q: In Exercises 47–58, say whether the function is even, odd, or neither.Give reasons for your answer.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. If a runner traveled a distance of d(h) = v16h4 in time t(h) = 3h – 3h - 5h2, what is the…

A: We will find the distance as following.

Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: Given: ∫x3dx4-x2

Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…

A: The standard deviation of X and Y are 0.05 and 0.10, respectively.

Q: A bacteria culture starts with 960 bacteria and grows at a rate proportional to its size. After 4…

A: The exponential growth formula is given by: P(t)=P0 ekt...(1) where P0 is initial population, k is a…

Q: 2s - 1 s2 - s -- 2' F(s) = s2 – 4 - 4 F(s) : (s2 + 4)2 1 F(s) = s2 + 3s + 2

A:

Q: Assume that a factory can produce a quantity 2x3 + x°y + y4 of goods, when x is skilled workers, and…

A: Here we use the concept of implicit differentiation.

Q: A sample of 600g of radioactive lead-210 decays to polonium-210 according to the function AT) =…

A: Topic:- exponential decaying function

Q: A manufacturing company has been experimenting with a new additive that is used to reduce polluting…

A:

Q: 2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant…

A: We know that , distance = velocity×Time

Q: 9 2. If fS(x)dx= 37 and g(x)dx=16, = 16, find [2f(x)+3g(x) ]dx- %3D 0.

A:

Q: 2 x + 4 y + z = 3 3 x + 5 y+2z = 2 3x+ y+ = 1 thesolutionis :

A:

Q: 7. y = 2*32x5x V36x y = 8. 6x5 V144x3 9. у — 10. у %3 (2x3)? 2x2 1. If y x x² and y increases from…

A:

Q: 6) y = e *(x* – 5) dy A) dx 5x² 10x + 4x3 = 21(5e* + 2x²) dy 5x2 B) = e* · 10x · 4x³ + e³* · 10x ·…

A: Let h(x) = f(g(x)) for all x, then by chain rule   h'(x)=f'(g(x))g'(x)  Also if h(x)= u(x)v(x)  Then…

Q: 12. If z = 2xy – 3x²y and x is increasing at 2 cm/s, determine at what rate y must be changing in…

A:

Q: 4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate…

A: As per our guidelines I am solving only first problem please repost other question.     For first…

Q: 2. For a substance D, the time rate of conversion is proportional to the square root of the amount x…

A: Given For a substance D, time rate of conversion is proportional to the square root of the amount x…

Q: A teacher wants to find out whether her new method of teaching is effective or not. She decides to…

A: The teacher wants to find out whether her new method of teaching is effective or not. The calculated…

Q: L() tu(t-3) e6-3s ( 1 + (s+2} 3 s+2 e2-3« ( + ) o 1 (s+2} S+2 e-3+ ( +) o 1 (s+2} s+2 ( e-6-3s 1 3 +…

A: We will find out the required value.

Q: 16. If x x y and y x z, then how is x proportionally related to z?

A:

Q: 2. An object with a temperature of 32°C is taken to an open field where the temperature is 42°C.…

A:

Q: A 100L-capacity tank initially holds 80L of fresh water. A brine solution is poured into the tank at…

A: A brine solution is poured into the tank at the rate of 4 L/hr, while the well-stirred mixture…

Q: dy Ify드a2-4x-의. then. dx x2 2x-2) 2-4x-5 einz2-4x-5)- In(z+2)]. x2-4x-5 x2 x2-4x-5 x 2 x 2 2-4x-5…

A: Consider the given equation:

Q: The population of Normal, Illinois grows proportionally to its population at time t. At an initial…

A: Given, dPdt=kP Where P is the population and k is the proportionality constant.

Q: In Exercises 7–10, determine from its graph if the function is one-to-one.

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…