A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 30 % and the third contains 75 %. They want to use all three solutions to obtain a mixture of 96 liters containing 35 % acid, using 2 times as much of the 75 % solution as the 30 % solution. How many liters of each solution should be used? The chemist should use liters of 20 % solution, líters of 30 % solution, and liters of 75 % solution.

Q: 1. Write the following function using unit step functions and then find its Laplace transform: 0 2.…

A:

Q: my" + cy' + ky = F(t), y(0) = 0, y'(0) - 0 modeling the motion of a spring-mass-dashpot system…

A:

Q: You are given a cylinder aligned with the z-axis, running from z = 0 to z = 3, and whose radius is…

A: A cylinder has a radius 1 which height is running from z=0 to z=3.

Q: y = x – 3, (x – 2) = (y – 1)? + 2, and (x – 5)2 + (y - 1)2 = 1

A: Given curves are  y=x-3                             .....(1)x-2=y-12+2         .......(2)x-52+y-12=1…

Q: 2. Let A € Mat2x3 (R) be as below: -1 3 7 A = -4 -3 2 Find a (row) echelon form of A. Write down…

A:

Q: For item 1-12. Determine which among the given choices is true about the set , equation, table of…

A: We have to find the correct option.

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x ーX

A:

Q: h(x,y) = x* – 3r + 3ry?.

A:

Q: Let n = pq where p and q are two distinct primes and consider Zn. Further, let [a] E Zn be an…

A: The result follows from using the definition of the order and the definition of the Carmichael's…

Q: 4. Determine wether.the. Series..Camveryes. er.diverges n.. O. P.. 5 210- Jñ 3" n²+3

A:

Q: Let F(s) be the Laplace transform of f(t). Find the Laplace transforms of the following expressions…

A:

Q: 16 Evaluate o Jo .zpxpÁp

A:

Q: The chemical epinephrine (more commonly known as adrenaline) has the chemical formula CH(OH),C3H,NH.…

A:

Q: Paola's Typing 3200 2400 1600 800 20 40 60 Number of Minutes Which statement about the relationship…

A: Answer is B. Number of words is a dependent quantity as it depends on number of minutes.

Q: Explain at least five disadvantages of utilising the direct approach of solution in numerical…

A: disadvantages of utilising the direct approach of solution in numerical analysis are  following

Q: 2.4 If (x, y) = -r* - y" + 2ry – 8r" + 7y, , then in the process of obtaining its critical points…

A: Given a function f(x,y) = -x4-y3+2xy-8x2+7y   Also given the equation obtained during the process of…

Q: What is the square root of -5?

A:

Q: 7. Evaluate using the residue theorem eir dx x2 +1

A:

Q: find general and particular solution of differential equation y" + 2y' + 5y = 0 with the given that…

A: Solution:-

Q: 1. Provide any set S1 and S2 such that: (a) Si and S2 are subspaces of R", and that (b) Si U S2 is…

A:

Q: foo 5 4 3- -8 -7 -6 -2 -1 3 6. 8. -2 -3- f. 3 1.

A: Given: Let us consider the given graph,

Q: Prove that 17 is the only prime number of the form n²- 64.

A:

Q: Consider the vector v = (5 1 -3) in R3. v belongs to Span{(2 -1 0), (1 2 -3)}. %D Select one: True O…

A: Spanning set

Q: a) Given the vectors in R3 v, =(11 -3), vz = (1 -3 1), v,=(-3 11) Using the system of linear…

A:

Q: 2. a – 2y + z = -6 2x – 3y –- z = 11 -x + 4y – 3z = 28

A:

Q: Write the objective function for each situation. 1. Your color television uses 0.2 kwh of energy per…

A: To write the objective function for the following situations Your color television uses 0.2 kWh of…

Q: Solve the following differential equation Integrating Factor by Linear Equations: dx/dy + xcoty =…

A:

Q: 1 -5e iwt dt + -jwt | 5e -jwt dt -1

A:

Q: Suppose that a power series 00 8(x) = bn x" %3D n=0 00 has the radius of convergence p > 0 , all b,…

A:

Q: Find the value of x for which Inx + (Inx)2 + (Inx) + (Inx)* += 9

A:

Q: Consider the vectors v, = (1 0) and v, = (0 1) in R,. the vector ( 0.4 3.7) can be written as a…

A: Linear combination

Q: in a graph What is edge cut ? And give an example

A: Solution:-

Q: 2. Find a basis for the subspace W = {[x y z]T : ax + by + cz = 0, a,b, c € R} of R". What is the…

A:

Q: Consider the vector v = ( 5 1 -3) in R3. v belongs to Span{(2 -1 0), (1 2 -3)}. V | Select one: True…

A:

Q: 2) Consider a bicyclist whose position s(t), in feet, is given by the table where t is in seconds. t…

A: The velocity of bicycle is represented by the derivative of st with respect to t.

Q: calculations/solutions

A: As per our guidelines we supposed to answer only one question in case of multiple questions and in…

Q: +3y. Smix

A:

Q: Without using any theorems from the book, prove the following statement: The sum of any two odd…

A:

Q: 1. An instrument store gives a 10% discount to all students off the original cost of an instrument.…

A:

Q: use the Euclid's algorthim to find the inverse for 76 mod 83

A:

Q: Find the solution of the following Differential Equations 9) y"-y'-6y 0, y(0) = 6, y'(0) = 13.

A:

Q: 1. Find the solution of the system of linear equation w+ 2x-y+z- 6 -w+x+ 2y - z = 3 2w-x+ 2y + 2z 14…

A:

Q: Q4/ Solve the differential equation dy b) = V1 + sinx(1+ y?) when y(0)=1 dx

A:

Q: Find the general solution (y, x, C) = 0 to the following ODE dy x(7 — х — 2у) - у (5 — х — у) dx

A:

Q: Directions: Approximate the area under the curve and above x- axis using (a) Leit Riemann Sum, (b)…

A:

Q: Scheduled payments of $900 due two years ago and $1,200 due in five years are to be replaced with a…

A:

Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: Use the above formula to write each of the following limits as an integral (a) (b) Lm=0 nm-T lim n2…

A:

Q: Let V = R be the set of positive real numbers. We define addition and multiplication with standard…

A:

Q: 1. Solve by using the method of Laplace transforms: y" – 6y' + 5y = 3e¬*;y(0) = 2;y'(0) = 3

A: