Number of Bacteria YA

Q: (b) 9₁ = -8y₁ - 2y2 y2 = y₁ - 4y2 e-6t + c₂te-6t and y2 = -c₁e6t+c₂(t+1) e-6t) (solution y₁ =

A:

Q: Q5: For the differential equation below: x+3 x(x-81)y" + x². (x-3)(x² +9) (x+3) y+x (x-3)24-0 a)…

A:

Q: 2. A proposed 3-storey residential building with a 1st floor area of 50 square meters, 2nd floor (6m…

A: Consider the given information, The 1st floor area is 50 m2. The 2nd floor area is 6 m×10 m=60 m2.…

Q: 4 1. A = 2 1 3 -2 -3 8 2 1 4 1 -7 02-3 1

A: As per the guideline I am answering only first question 1. A=43-382-221141-702-31

Q: A sharp-crested weir 1meter high extends across a rectangular channel 6m wide in which there is…

A:

Q: What statements are true for the graph below? Select all that apply. 11 11 -5 (-1,0)| (0, -0.125)…

A: Given is a graph and some statements. To select all true statements.

Q: Which function is even function? A.Absolute value function B.Cubic function C.Non-linear D.All of…

A:

Q: Problem 9. Find the standard matrix of the linear transformation T: R2 R2 that reflects a vector…

A:

Q: Problem 7. Let V₁ = -2 3 ] , V₂ = -3 5 " V3 = 2 Does (V1, V2, V3} span R³?

A:

Q: Mathematical Induction is used to prove the formula. 1² + 2²+ 3² +4²+...+n² n(n+1)(2n+1) 6 for every…

A:

Q: (a) Find the length of the curve -√√u - 1du, 1 ≤ x ≤ 64.

A:

Q: By using logical equivalences and de Morgan's rules, we can show that the statements p v q and (p…

A:

Q: Given any integers a, b, and c, if a-b is odd and b-c is even, what can you say about the parity of…

A:

Q: Problem 1. Determine a and b such that the solution set of the system 21+ ax₂ = -1 3x12x2 = b (a) is…

A: A system of linear equation Ax=b has  (i) No solution if Rank of [A:b]>Rank of A (ii) Unique…

Q: ed Cor = Solve the linear programming problem using the simplex method. Maximize subject to P= 5x₁ +…

A: Introduction: In mathematical programming, a theoretical technique used in management science and…

Q: 00 Determine whether the following integral converges or diverges. 2) Sort (7 (2² + 1)2 dz. QUESTION…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 2) Let T be a linear transformation from P3 (R) to M22 (R). Let B = (1 + 1x + 3x²2 +0x³), (2 + 3x +…

A:

Q: Rhapson- Newton Function USE NEWTON - RAPHSON'S METHOD IN FINDING ROOT/S STARTING AT X=3. (NOTE:…

A: if one solution of equation f(x) =0 is xn  Then next approximation can be given by  xn+1​  =xn…

Q: Express the given quantity in the form a + ib. cot(+71)

A: For a complex number a+ibpolar form is given by r(cos(θ)+isin(θ)), where r=a2+b2and θ=tan-1ba here…

Q: Find the volume of the solid created by rotating the plane region below around the z-axis: √2 cos…

A:

Q: 6. Show that the vector field 1 1 x²y' xy²¹ is conservative by finding all its potential functions.…

A: The given vector field is F→(x,y,z)=-1x2y, 2z3sinh(2y-1)-1xy2, 3z2cosh(2y-1)-5zln5. To Prove:…

Q: Solve for the volume of the oblique cylinder. Show your work and explain the steps you used to…

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

Q: Matrix Analysis A B 820 1 6 2 1 --7 1 -1 1 492 -7 -2 1 1 -8 -7 1 E F 26 X + 1 X -2x Find: 6 3 18 7…

A: Explanation of the answer is as follows

Q: Find the shortest path in graph G from a to e using Dijkstra's Algorithm. The table below has 3…

A: Given is a graph   To Find: The shortest path from a to e using Dijkstra's algorithm.

Q: Let f(x)=2x^4-4x^3-5x^2+2x-3. Define g(x) to be the restriction of f(x) to the largest possible…

A: Given:  f(x)=2x^4-4x^3-5x^2+2x-3

Q: Given an ordinary differential equation, y"+y = -x; at y(0) = 0 and y'(0) = 1. Estimate the value of…

A:

Q: The question is about Calculus of Residues. (Integration of functions using complex functions). z…

A: (a) We have to solve  ∫0∞2x2+1x4+5x2+6dx Consider I=∫-∞∞2x2+1x4+5x2+6dx The integrand has simple…

Q: Set up the iterated triple integral which gives the volume of the solid in the first octant bounded…

A:

Q: Consider the solid bounded by x + 2y + z = 2, x = 2y, x = 0, and z = 0. Sketch the solid. Label the…

A:

Q: Sn The nth partial sum of the series n=1 an is given by Find the 7th term using the sum. O a Ob Oc…

A:

Q: 2. Given that 1, sin (5x), and cos(5x) are three linearly independent solutions to the differential…

A:

Q: asey works at the Sports Gym as a counselor for x hours a week after school a job that pays $3 an…

A: Number of hours Casey works as counselor is x hours Amount paid per hour for working as a counselor…

Q: Q4. Let R be the annular region lying between the two circles x² + y² = 1 and D x² + y² = 16.…

A:

Q: Use the method of undetermined coefficients to find a particular solution to the given higher-order…

A:

Q: Complete the following direct proof of the statement: If x and y are positive real numbers and x <…

A: Note: If x is any real number x2 is always positive. Note: If x is any real number  x&lt;x2. Note:…

Q: Prove by contrapositive. Let k be an integer. If 5k+9 is odd then k is even.

A:

Q: Differential Equations Question: A 200 gallon tank initially contains 100 gallons of water with 20…

A: Let Q(t) be the amount of the salt at time 't' Then rate of change if amount of salt in the tank…

Q: 2. Using Gauss-Seidel, compute a solution to the problem Ax=b where A is an nxn matrix of the form A…

A:

Q: Use the Laplace transform to solve the given differential equation subject to the indicated initial…

A:

Q: U = e¯ª (x sin y − y cos y). -

A:

Q: For the following Lp values, find k Lp = 8.41 k =  d =  Lp = 2.4 k =  d =  Lp = 3.77 k =  d =

A:

Q: 2- The work can be computed as: W = fp dv. Using a combination of the trapezoidal rule, Simpson's…

A: Solution:

Q: Which matrix represents the number of walks of length 2 and how many walks of length 2 are in the…

A:

Q: Find the divergence and curl of the vector field F(x, y, z) = (xy - 2², 2x+cos(yz), 2y² - sinz) at…

A: We have to find the divergence and curl of given vector field  F(x, y, z) = &lt;xy-z2,…

Q: Suppose X and Y are random variables with joint density function. 0.1e-(0.5x+0.2y) f(x, y) = if x ≥…

A:

Q: 4- A thin plate with uniform density is placed in the region bounded by the circle 16 in the first…

A: given circle x2+y2=16 here r=4 area =14πr2                                            in first…

Q: y" +2y+3y= sint + 8(t-3л); y(0) = 0, y'(0) = 0

A:

Q: Express e in the form a + ib. (Simplify your answer completely.) z = -0.26-1 0.42 + (-0.65);

A: Given that z=−0.26−i. We have to express ez in the form of a+ib. Used formula eiθ=cosθ+isinθ…

Q: Find the general solution of the given differential equation using variation of parameters. y" +…

A: Please find attachment First option is correct

Q: A newly married couple bought a house for P175,000. They paid 20% down and amortized the rest at…

A: A newly married couple bought a house for P175,000. They paid 20% down payment and amortized the…