MHF4U 5. Name: Maryan Due Date: July 20th, 2022 @ 12:00 Noor Suppose that 2 cos²x + 4 sin x cos x = a sin 2x + bcos 2x+c is an IDENTITY, determine the values of a, b, and c.

Q: Let R be the region bounded by y = 2x, y = 2 and x = 0. Sketch the region R and evaluate the double…

A:

Q: True or false: The inverse of a full rank 4x4 matrix exists

A: The solution is given as

Q: 1. Find the solution of the IVP. Show the details of your work. y" + 5y' + 6y= u(t − 1) + d(t − 2),…

A:

Q: 20 n) Given below are subsets of different vector spaces. Determine whether or not each subset is a…

A:

Q: Which adjacency matrix represents graph 67 O a Od POHOO PHO POHOO Ho 4 T 1 1 1 0 PTLOO 1 0 T 0 T 1 0…

A: We need to determine the adjacency matrix for the given graph.

Q: the Prove function is analytic at z = 0. By calculating all the directional derivatives of the that…

A: The given function is ; f(z) = z¯2z,if z>00,if z=0 We have to show that the function f(z) is not…

Q: The coefficient of xy13 in the expansion of (x + y)¹8 is O 43,758 O b 31,824 18,564 8,568 C Od

A: We know (r+1)-th term of binomial (x+y)n is  Tr+1=Crnxn-ryr

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

A:

Q: Graph Searching A graph consists of a collection of nodes (the dots in the figure) connected by…

A: Given that a graph consists of a collection of nodes connected by edges. A move on a graph is a move…

Q: The processing time for the robogate has a normal distribution with mean 23 sec and standard…

A: Let  X  denote the processing time for the robogate. The random variables  X  follows normal…

Q: Solve the initial value problem O y = cost + 7sint O y = e cost + 7e-¹ sint ○ y = e¹¹ +7e-7t Oy =…

A: 1st we will find characteristic equation and then find its roots . Depending on type of roots, we…

Q: 2- The work can be computed as: W = fpdV. Using a combination of the trapezoidal rule, Simpson's 1/3…

A: Given: Let us consider the given table, W=∫p dV Lets determine the work by using, Trapezoidal rule…

Q: What is the parent function of y = ○y=x³ y=x² − 3/3 (x + 2) (x − 8)?

A: y=-23x+2(x-8) we have to find its parent function

Q: Let (X₁, || ||1), (X2, ||· ||2) be Banach spaces. On X₁ X X₂ define || (X1, X₂) || = || X1 ||1 + ||…

A:

Q: A debt of $9179.58 is repaid by payments of $1797.52 in 4 months, $1295.22 in 16 months, and a final…

A:

Q: The matrix A = " 1 0 0 2 # is a linear map from R 2 to R 2 . Draw the modified shape of the circle x…

A: The matrix A=1002 is a linear map from ℝ2 to ℝ2 . To Draw: The modified shape of the circle x2+y2=1…

Q: 7. Consider the following table that displays the binary operation on the set {x,y,z). I N 8 (a)…

A: This is a question from abstract algebra.

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

A:

Q: Consider the following. C: line segments from (0, 1) to (0, 4) and (0, 4) to (3, 3) (a) Find a…

A:

Q: y" + 4y = sint + u(t) sin(t − π); Hint: y(0) = 0, y'(0) = 0 since L (u₂(t)f(t-c)) = e ²³ F (³) L…

A:

Q: Question 1. 1. If p is prime and n> 1, then (p") is a primary, but not a prime ideal of Z. 2. Obtain…

A: (1) It is given that, p is prime and n>1,  then we have to show that  (pn) is a primary ideal but…

Q: ) Approximate the value of cos (0. (0.64 (0.6A sin x) dx, using two and three points Gauss πo…

A:

Q: The trend of covid cases in Ontario seems to be a neverending sinusoidal function of ups and downs.…

A:

Q: Find the specified change-of-coordinates matrix. Consider two bases B = {b₁ b₂} and C = {c₁, c2} for…

A:

Q: Find the first 5 terms of the sequence from the recurrence relation, given: • a = 3 ª₁ = 4 • an =…

A: Introduction: The Simplest form, or organized and precise n value, is what is desired. Any such…

Q: If y, and y, are linearly independent solutions of t²y" + 5y + (2 + t)y = 0 and if W(y₁, y₂)(1) = 3,…

A:

Q: For items 8-10, given the 5 states and 250 seats. The population of each state is provided. State A…

A: Note: We are entitled to solve the question by one method only. As the specified method is not…

Q: 10 lemniscate ² = 4 cos 20 outside r = √ √√2

A:

Q: Please provide the answer, I don't know how you got to any of this if the answer is not clearly…

A: To find centroid  of any solid region we need to find its mass and moment about co ordinate planes…

Q: Find the specified change-of-coordinates matrix. Let B = (b.b2) and C = (₁, 2) be bases for R²,…

A:

Q: e) lim 1-cost sin²)

A:

Q: Problem 8. Define a transformation T: R2 R³ by T(₁, 2) = (-21 - 8x2, 6x1 + x2, 4x1 - 7x2). (a) Find…

A:

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: a) f, if any. Let f(x, y) = 2x² + 2y² - 3xy - 2. Find the local maximum and minimum values and…

A:

Q: The velocity of the body is given by: v(t) = 2t, 1≤t≤5 = 5t² + 3, 5<t≤ 14 where t is given in…

A: Given : vt =2t , 1≤t≤5       =5t2+3  ,5&lt;t≤14 Find : a. Trapezoidal Rule where n=2          : b…

Q: Quest In P₂, let B and C be the bases where B = {1-312, 2+t-5t2, 1+2t) and the standard basis C =…

A: I have given the answer in the next step. Hope you understand that

Q: U = e¯ª (x sin y − y cos y). -

A:

Q: The Funny Toys Company has four men available for work on four separate jobs. Only one man can work…

A: The given problem is assignment problem.  The computation procedure assignment problem is to find…

Q: Evaluate f x²-x-5 x(x²-x-2) dx

A:

Q: (a) Approximate the value of fcos (0.64 sin x) dx, using two and three points Gauss Quadrature where…

A: Note:  Hi! Thank you for your question. As there are two questions so as per our guideline we are…

Q: . For the system of linear equations below, solve for the values of w,x,y,z 6w-2x-z=5 6x - 5z = 1…

A:

Q: Select all linear transformations from the list below: Projection Scaling Reflection Translation…

A: To find which of the following are linear transformations :-

Q: Let W be the set a of all vectors of the form | 0 [2 Is W a subspace of R³

A:

Q: 1. Evaluate [(y - x - 3ix²) dz, where C' is the contour joining 0 and 1+ i in the following manners:…

A: 1. To evaluate: ∫Cy-x-3 i x2dz, where C is the contour joining 0 and 1+i in the following manners:…

Q: What is $124,366.6678 rounded to the nearest dollar

A: We have to round $124, 366.6678 to the nearest dollar.   Round to the nearest dollar means…

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

A:

Q: The equation of a line in standard form is ax + by = c, wherein both a and b cannot be zero, and a,…

A: We will use c++ to code this problem

Q: Given that A- -3 -1 -5 2 has the form A = PCP-¹. O P= O 2 -1 1 0 2 and P= O and C= Find an…

A:

Q: Determine the general solution of the given differential equation. y"" - y' = 9 sin t NOTE: Use C₁,…

A:

Q: az Q3.If Z= f(x,y)=4 e ln(y), and x = ln (u cosv), y = u sin v, use chain rule to find: 2 ди and az…

A: Solution 3: Given that  Z=fx,y=4exlny and  x=lnu cosv, y=u sinv By chain rule…