y" +9y = sin(3x)

Q: du Each integration requires a simple substitution. Let u = 4y + 3 and v = 8x + 9. Then dy = 4 1 √…

A:

Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

A: Given that .The objective is to express the matrix  as a product of elementary matrices.

Q: C . Use the angle sum relationship to show sin 30 = 3 sin 0-4 sin³0. ● B D Suppose AB is the arc of…

A: According to guidelines we can do only first three sub parts thank youUse the angle sum relationship…

Q: Charlie's Pizza orders all of its pepperoni, olives, anchovies, and mozzarella cheese to be shipped…

A: Given information:The time interval between reviews, .Lead time, .The average demand for pepperoni…

Q: Give the rank and the nullity of the matrix. - [3 3] rank(A) nullity(A) A = = = 10-1 3 3

A:

Q: me table below shows the production of tobacco in the US, in millions of pounds.¹ Year Year 2006…

A: (a) The average rate of change in tobacco production between 2008 and 2019 ismillions of pounds per…

Q: Consider the following linear program and answer the following questions. Max 3A + 4B       s.t.…

A: We need to solve the given three equations and after putting the solution in 3A+4B we need to find…

Q: Find the distance the point P(0, 2, 8) is to the line through the two points Q(1,-1,4), and R(-1,-4,…

A:

Q: 14. y" + 4y + 4y = xe-x

A:

Q: Let u4 be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. ©…

A:

Q: 27. Let W be a subspace, and let S be a spanning set for W. Find a basis for W, and calculate dim(W)…

A:

Q: 15) How long does it take a Principal of $25,200 at a simple interest rate of 9.5% to become…

A: Given that a principal of $25,200 at a simple interest rate of 9.5%  and interest is $32,500.

Q: Click and drag the steps in the correct order to show that 3x² + x + 1 is e(x²). You must provide an…

A:

Q: 6. What is the vertical asymptote of f(x)= -3/(x+1)? * O x=1 O x=-1 X=-3 O x=0

A: 6.The given function .The aim is to find the vertical asymptote of the function.Note:  Since you…

Q: 1. Prove the following polynomial is 0(n¹). Use algebraic manipulations. P(n) = 5n -10 n³ + 20 n² +…

A:

Q: Use the functions to determine the value of each composite function algebraically. f(x) = 2x² g(x) =…

A:

Q: Show that (a + p)P = a (mod p2), where p is prime, and that, more generally, a = b (mod p) ⇒a= b…

A: To prove that (a+p)p≡ap(modp2), where p is a prime, it can use binomial expansion and Fermat's…

Q: Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace W-spand W = span{ a.…

A: We need to find two elements X and Y.

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 4 - 4…

A:

Q: Let w,x,y,z be vectors and suppose z=3x−y and w=−3x−y+z. Mark the statements below that must be…

A: Given information: are vectors. and .To find:Mark the statements below that must be true.Concept…

Q: K -(x-y-1) dy

A:

Q: In Exercises 15-20, W is a subspace of R4 consisting of vectors of the form X = XI X2 X3 X4…

A: As per our company guidelines we are advised to solve only the first question. Kindly repost the…

Q: The following transfer function is not written in a standard form: 2(s + 0.5) G(s) = (s + 2)(2s + 1)…

A: The transfer function is as follows:To Find:a) Put it in standard form.b) Gain, poles, and zeroes.c)…

Q: A ferris wheel is 10 meters in diameter and boarded from a platform that is 2 meters above the…

A: From the given information, we have to find the amplitude, midline, period, and your height after 1…

Q: 8. d²y dy Solve the Cauchy-Euler equation x²- +8x +6y=0. dx² dx

A:

Q: Set up the double integral both ways : (integral)(integral) y^2 dA where R is the triangular region…

A:

Q: (a) f: ZZ given by f(n) = 3n. (b) f: R → R given by f(x) = x³.

A:

Q: 3 13 5 -7-17-5, observe that the first column plus twice the third column equals the second column.…

A: We have to find the non trivial solution such that

Q: Question 1. Show that the limit does not exist. x³y² lim (z,y) (0,0) 24+y8

A:

Q: Use a change of variables to evaluate the following integral. SSS xy dV; D is bounded by the planes…

A: Given information:A triple integral to evaluate: , where  is a region bounded by the following…

Q: 4. Solve the following initial value problems using the Laplace transform: a) y' + 3y = 0, y(0) =…

A:

Q: Convert the following 2nd order IVP to a 1st order system IVP, by viewing y' as a second dependent…

A:

Q: b) A company makes a blend consisting of two chemicals, A and B, in the ratio 5 : 2 by weight. These…

A:

Q: Prove that 1-²-2+2-3- + + 1 n(n+1) = n n+1 for all n E N.

A: The given problem is to prove the given following identity,Given 1/1•2 + 1/2•3 + .. + 1/n(n+1) =…

Q: Use the graphs to evaluate the expressions below. (Photo) f(g(5)) = g(f(1)) = f(f(3)) = g(g(2))…

A:

Q: dy Solve the given differential equation by using an appropriate substitution. The DE is of the form…

A:

Q: 2. Sketch a graph of r = 1 - sin 0 and r = 1 on the polar coordinate system provided below. Assume 0…

A:

Q: In Exercises 21-24, find a basis for N(A) and give the nullity and the rank of A. ·[₁ 21. A = 1 2…

A:

Q: Find the volume of the solid obtained by revolving the region bounded by the line y = x + 3 and the…

A:

Q: 4. The vector field (3x²y + y +2, x³ + x - 1) is conservative. Find a function f such that Vf = F.

A:

Q: Let Z denote the centre of a group G. Then show that z € Z iff N(a) = G. Also show that if G is…

A: Let Z denote the centre of a group G,  we have to show that a∈Z iff N(a)=G. ,also show that if G is…

Q: Suppose you want to have $700,000 for retirement in 35 years. Your account earns 7% interest. How…

A:

Q: Two people are placing a principal amount of $800 in a savings account with 6.5% annual interest.…

A: Formula

Q: 3. Let d₂(x, y) = |arctan(x) — arctan(y)| for x, y € R. (a) Show that d₂ is a metric on R. (b) Are…

A:

Q: Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(A n B) = 6. n(AUB) (Type a whole number.) =

A:

Q: 6. (a) For each n E N, find mn EN such that m²/2 (b) Let n <2< n² Pn - (mn + 1)² n² mn n Show that p…

A: (a) For each n∈N, find mn∈N such thatmn2/n2&lt;2&lt;(mn+1)2/n2.It can start by taking square…

Q: The trace of a square n x n matrix A = (aj) is the sum a₁1 + a22 + ... +ann of the entries on its…

A:

Q: Let x,y,z be (non-zero) vectors and suppose w=−z. If z=−3x−y, then w=3x+y. Using the…

A:

Q: 13. Using Newton-Raphson method solve x log10 x = 12.34 with co = = 10. O

A:

Q: Consider the following matrix A (whose 2nd and 3rd rows are not given), and vector x. -9 -8 -6 A = *…

A: We have to find the corresponding eigen value where  is the given matrix and  is the eigen vector