d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

Q: Prove that using a proof by contraposition, “if n is an integer and ? 3 + 5 is odd, then n is even”

A:

Q: Solve y'' − 4y' + 20y = 0, y(0) = 3, y’(0) = − 6 - y(t) = The behavior of the solutions are: O…

A: Given differential equation used to 2nd order linear homogeneous differential equation with constant…

Q: company purchases cars for use by its executives. The purchase cost this year is $30,000. The cars…

A: Given that a company purchases cars for use by its executives. The purchase cost this year is…

Q: span0001 a. 2b+c O & [[ 2b + c b ]:b,CER} 0 Ob.{[-2b + c b ]:b.CER} 0 Oc.{[-2b-c b]:b,CER} 0 d.[[ 2b…

A: 1) The span of the two matrices 2100 and 1001 is the linear combination of these matrices. span…

Q: Let be the vector field defined on the plane by F(x, y) = (x¹+3y, 6x - siny).

A:

Q: Find a unit normal vector to the surface 6x2 + 2y2 + z2 = 225 at the point P : (5, 5, 5), and…

A:

Q: Find an LU-factorization of the coefficient matrix to solve the linear system: show solutions. X + z…

A: We have to Use LU-Factorization of the coefficient matrix to solve the given linear system.

Q: Determine the combined moment about O due to the weight of the mailbox and the cross member AB. The…

A: Given Weight of mailbox is W1 = 5 lb. Weight of cross member is W2 = 10.1 lb.

Q: Express the following propositions in symbols, where p,,r and s are as follow: p: Neil is a big…

A: Since you have posted a multi subparts question according to guildlines I will solve first…

Q: Consider the sequence -11, -6, -1, 4, ..., 5n — 1. a. How many terms are there in the sequence? b.…

A:

Q: Travelling waves 8² Which of the following are valid solutions of 2 ou 0x² □ (x − vt)² + (x+vt)² +1…

A:

Q: Consider a system with the following state-space representation X(t) = [₁]x(t) + B₂Ju What values of…

A:

Q: The mean of four numbers is 71.5. If three of the numbers are 58, 76, and 88, what is the value of…

A: Here given that the mean of four numbers=71.5 the three numbers are=58,76 and 88 let the unknown…

Q: 1969, the po 1 479 325 in 1 999? co-operative s undred and thi wenty seven the n the year 2002…

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

Q: 20.What is the value of n such that (24  is congruent to 58 mod n) ? a.13 b.17 c.-34 d.-13

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

Q: Find the solution to the following recurrence relation: -5an-1 for n ≥ 2 with the initial condition…

A: Given,an =-5an-1   for n≥2 with initial condition a1 =4

Q: 2. Suppose that z is a function of and y, and F(x2 - y², ry - 2², yz - ²) = 0. Calculate and (Hint:…

A: Solution :

Q: Suppose H is a n-dimensional subspace. Let A = Let T H H be a linear transformation. Then [T] =…

A:

Q: Q1) Convert the point p = (2,) in the polar coordinate system to its Cartesian coordinate…

A: We know that conversion from polar coordinate (r, θ) to Cartesian coordinate (x, y) is as follows:…

Q: Let f(x,y)=xy +2ln (36-4x² - y2). Then the domain off can be represented by the white region in the…

A:

Q: Suppose that B=(2, 2, 1) and makes 30⁰ with A and AB=6. What is the magnitude of A?

A: Vectors are the mathematical quantity which obeys the set of axioms. In general, vectors are…

Q: Find the coefficients of a* in (6 – ½a)6 and kª in (3k – 21)¹2

A: We have to find the coefficients of a4 in 6 - 12a6 and k4 in 3k - 2l12 . Note that,       a - bn…

Q: Press on this Desmos link, https://www.desmos.com/calculator/euqdx7iaxr and follow the directions to…

A:

Q: The Fourier transform of e-alt is foe-alte-it dt = to three decimal places. G Round your answer to 3…

A:

Q: 2. Solve the following partial differential equation au/2 = ²4/ 0x² du at u(0,t)=0. u(10,t)=100…

A:

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

A:

Q: A) B) T Solve the initial value problem Solve the differential equation y + 10y +34y = 0 e²x dy…

A:

Q: Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we will…

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A…

Q: QUESTION 1 Show that W = {(a,0, b) a, b = R} is a subspace of R³.

A: Result : R3 is a vector space over the field R . Theorem : A non empty subset of a vector space V…

Q: In a vector space V, prove that Ov=0 for all v € V. Let u = (1, 2, -1), v = (6,4,2) € R³. 5.1 Write…

A:

Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 F(f) = = √e-i(+1) e-i(x,x) f(x) dx.…

A: Problem is solved using concept of Fourier Transform.

Q: 3. Consider the probability density function of a continuous random variable X f(x) = { − ³x + 1≤x≤4…

A:

Q: I. 1 Evaluate each determinant. 3 -3

A: The given determinant is -431-3 ={(-4)×(-3)}-(3×1) =12-3 =9

Q: Determine whether the set {P1, P2, P3} is linearly independent in P2, where p₁ = 2+x+3x² + 4x³, p₂ =…

A: Let V be a vector space . let v1,v2.....vn ∈V are linearly independent iff c1a1+c2a2+...+cnan=0…

Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z)=-3ry-ly:j-Szak…

A: To find- Use the divergence theorem to calculate the flux of the vector field F→x, y, z = -3xyi^ -…

Q: Draw a direction field for the differential equation y' = (y - 9)². Based on the direction field,…

A:

Q: 5x + 3y+9z= −1 −2x + 3y -z = -2 -x- 4y + 5z = 1

A: The following steps are used to obtain the solution of the system of equations by Gauss-elimination…

Q: Problem 3. Integrate the equation below using Four-Point Gauss Quadrature between limits = 0 to x =…

A:

Q: Solve the system of equations below both GRAPHICALLY and ANALYT- ICALLY. If the system has no…

A:

Q: Prove that sinh ≤h for all h E R.

A:

Q: Show that the force F = (y^²2² - 6xz² ) ₁² + ²xyz²³ j^² + (3 xy² z ²-6x²²Z) k IS Conservative, hence…

A:

Q: 16. Given: 6x + 15y = 51. What are the possible solutions of x in the given Diophantine equation if…

A:

Q: The sphere shown below has radius 12 meters. }x X We are trying to find the volume by making…

A: The radius of the sphere is given as 12 meters. The horizontal slices are made in the sphere x…

Q: 2a The Fourier transform of e-alt is foe-alte-it dt = a²+² G to three decimal places. G = Round your…

A:

Q: Given the plot of normal distributions A and B below, which of the following statements is true?…

A:

Q: Prove by Mathematical Induction that: 192^3+2364+ ...+n[n+1)(n+2) = n(n+1)(n+ 2){n+3)/4

A:

Q: Prove or disprove: The integral of a bounded and measurable function over a set of finite measure is…

A: Proof: Suppose f be a bounded and measurable function over E, which is a set of finite measure. We…

Q: Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone…

A: Given that Mid-West Publishing Company publishes college textbooks. The company operates an 800…

Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: TRUE or FALSE: 1. If g = (a, b) and a = gc, then (c, b) = 1 2. If (p, q) = 1 and (q, r) = 1, then…

A: GCD is the greatest common divisor of two or more numbers is the greatest common factor number that…