Computation 2: use the 4th order Runge-Kutta method to solve the differential equation du = (y-x-1) ²³ +2 to find an approximate solution. _y (0)=1; Find y (1) with h = 0.2. Find %.ET. Exact answer : y tan x + x + 1 = tan 1+1+1 = 3.557401 = 3.56

Q: Verify that if c is a constant, then the function defined piecewise by if x <c, y(x) = {cos(x – c)…

A: Given the function is  yx=1if x≤ccosx-cif c&lt;x&lt;c+π-1if x≥c+π

Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = −1xyi – 2yzj —…

A:

Q: Evaluate the following expressions: 2abc − 3ab if a = 1, b = − 2, and c = 3

A:

Q: Prove as follows the inequality |Ax| =||A|| - |x|, where A is an m x m matrix with row vectors a1,…

A: Given: The order of the matrix A is m×m. The row vectors are a1,a2,a3,.....am and the dimensional…

Q: Find a matrix A such that [is: is a solution for AX=X'.

A:

Q: 12. A person opens a savings account with initial deposit of R. 1500 and subsequently deposits R 60…

A: ●No.of deposits per year  =  (no.of weeks per year)×(amount of deposit per week)

Q: The ball at A is kicked with a speed A = 15.5 ft/s and at an angle = 30°. Assume the ground has the…

A: What is Projectile Motion: Any object launched into space with only gravity acting on it is referred…

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: To find- First, verify that the given vectors are solutions of the given system. Then use the…

Q: u(0,1)= 0, U(1,1)=0, u(x,0)=2x u(x,0)=2 ALE. A Q.4/Answer ONLY TWO, Except (C) (4) Using Lagrange…

A:

Q: It costs Joanna $17,000 to open her new shoe store and then $23 for each pair of shoes she stocks.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 5. What is the negation of each of these propositions? a) Mei has an MP3 player. b) There is no…

A:

Q: In 2000, mobile handset sales totaled $414.99 million. In 2005, the total was $778.75 million. Let M…

A:

Q: PLEASE DO THIS TYPEWRITTEN ONLY FOR UPVOTING AND SKIP THIS IF YOU ALREADY DID THIS. THANK YOU MONEY…

A: The piecewise function for the rate of money fx to be paid by a customer after sending x amount of…

Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

A: Given,           x'1=x1-2x2x'2=2x1+x2, and  x1(0)=0, x2(0)=4.

Q: lim tar Ө+ ЗП 3 tan 2

A:

Q: Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² +…

A:

Q: 8. Diagonalisation Consider the matrix A= 9 -6 -12] -13 -24 11 -2 ܚܪ ܝ 6 i. Determine the…

A: Given : A=9-6-128-13-24-2611 To find : (a) characteristic equation Dλ             : (b) use…

Q: 11. Let D be the solid inside the cone z = √²+ y², inside the sphere x² + y² +2²=9 and above the…

A:

Q: Two sides of a square lie on the lines x+y= 1 and x+y+2 = 0. What is its area?

A:

Q: Determine if the set is the empty set. {x|XEN and 7 <x< 14} Choose the correct answer below. The set…

A: We have given set {x | x in N and 7&lt; x &lt; 14 } This set in roster form { 8, 9, 10 , 11, 12, 13}

Q: For x,y,z > 0, use the Lagrange Multiplier Method to find the minimum value of 1 1 1 + + x y Subject…

A:

Q: b←((b←d)vd) p h. A➜(~A↔(A⇒B);

A:

Q: If p(q=r) prove that x +q{r-p}x+p-q) = 0 has equal roots, ther 211 q = р

A:

Q: 2. Given: cosh x==(e²+ e*), sinh x=(e-e), use these 1-1/1 definitions to show that cosh’x−sinh’x=1.

A:

Q: Given the following augmented matrix which represents a linear system, solve the linear system using…

A:

Q: Identify the directed graph represented by the given adjacency matrix. [0 2 3 0 1 2 2 1 2 1 10 1 0 0…

A:

Q: If A1, A2, and A3 are coplanar vectors, using the graphical method (parallelogram and head to a) Add…

A:

Q: 23. An open water tank with height 6 m and diameter 2 m is filled completely. A) calculate absolute…

A:

Q: The scores from 50 psychology students that took a standardized test are summarized in the given…

A:

Q: The following is the graph of a function f = f(x). Where does the graph reach a maximum, and what is…

A: Given Graph Here we need to calculate the maximum value of the graph We know The maximum value of a…

Q: d) 5+ 7 = 10. e) x + 2 = 11. f) Answer this question.

A:

Q: 2. Find all numbers z such that Az3 + Bz² + Cz = D -3 -5 a. A [4] B =[₁₁1] c = L-₁₁ ย -11] A = 11 3…

A:

Q: Pivot the matrix about the circled element. 554 14 -1 5 (2) 2 1021

A:

Q: Show F(x, y) = (4xy³ + 6)i + (6x²y² + 2e²¹)j LF is conservative by finding a potential function f…

A:

Q: a) Construct a divided difference table for the ab data. b) Use the table presented in Part a),…

A: Given data is Time xi 0 1 2 3 4 Value yi=fxi 500000 375000 281250 210938 158203

Q: What is the importance of mathematics in your/our life?  5-10sentences

A: Mathematics makes our life orderly and prevents chaos. The qualities which are improved using…

Q: 9. Suppose that during the most recent fiscal year, the an- nual revenue of Acme Computer was 138…

A: Given: Suppose that during the most recent fiscal year, the an nual revenue of Acme Computer was 138…

Q: C-1 Q3. L-¹ In (a) (b) (c) (d) s² +4 S 2 sin 2t - 2 t cost - 1 +4} t 2 cos 2t - 2 t 2 - 2 cos 2t t

A: Inverse Laplace transform

Q: Question 1 (a) Evaluate the integral x sinh(r) da.

A:

Q: Many online portals now use 2-Factor Authentication. After you login with your username and…

A: Given: The code is 6 digits. The portal uses 2-Factor authentication. A code will be received after…

Q: find the area of a triangle.  given the points A, B, and C. Plot the points A= (0,2,6), B= (8,2,2),…

A:

Q: If the roots of the quadratic equation x² + px + q = 0 are tan 23° and tan 22°, then find the value…

A:

Q: Click and drag the steps to determine whether the given pair of graphs are isomorphic. "₁ 1₂ 144 115…

A:

Q: 26. A barometer uses mercury as fluid. The height of column shows 760mm of Hg. Calculate the…

A:

Q: A recording company is to release 90 new CDs in the categories of​ rock, country,​ jazz, and…

A:

Q: n Problem. he indicated differential equation, together with one or more olution curves. Sketich…

A: Given: The differential equation is dydx=x2-y. The slope field of the given differential equation…

Q: the sum of the roots of the equation 1/(x + a) + 1/(x == 1/c is zero, then prove that the product of…

A:

Q: Translate the following in words. Identify whether it is true or false. Justify your answers.…

A: For all numbers '?' that belongs to the set of rational numbers Q,  2×? is an even number.  Write…

Q: (2, Prove that Ž (Pn+ Pn+1) hr 9=U (y+1) 27-²8 (14+ 2x=-1) y

A: What is Legendre Polynomial: Legendre polynomials are a set of complete and orthogonal polynomials…

Q: Consider the linear program Maximize the value of 2x₁ - 3x2 among all vectors à € R² satisfying £₁…

A: