a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the volume of the solid generated using the most appropriate method when the region R is revolved about the given axis of revolution. 1. R: y = 9 – x² and y = 2x + 6 is revolved about the x-axis.

Q: Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 convergent or divergent. b)…

A:

Q: e1+e2+e3+e4+e5+e6 = 16 where ei >= 0. What is the generating function? and what is the coefficient…

A: The given equation is e1+e2+e3+e4+e5+e6=16, where ei≥0. Since ei≥0, therefore the generating…

Q: invest interest 2100,000 Me are going Is that an at rate of account 7.5% 4or Rarns 34 S4mon ths…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only so we will answer…

Q: Use long division to determine the decimal expansion of . You can either: 12 90 1) Show your work on…

A:

Q: 3. The path of a soccer ball kicked into the air is modelled by s(t) = 0.2+ 19.6t – 4.9t, where s(t)…

A:

Q: AABC is shown in the diagram below. В Suppose the following sequence of matrix operations was used…

A:

Q: 3. (i) Let e ER and A- (; ). 1 1 2 2 (?). b = Find the condition on e so that there is a solution of…

A: For a system of equation AX=b there is a solution if and only if rank(A)=rank([A|B])  here [A|B] is…

Q: 3, 21 55 5, 18, 39, .. 2. 2. 2.

A:

Q: Let a, b e R with a < b. Assume that a + <b - for all n E N. Show that 1 = (a, b). a + ,b n n=1

A:

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A:

Q: 1. Find the radius of convergence and interval of convergence of the power series n²5n n=1

A:

Q: I. Consider the permutation (1 2 3)(4 5)(1 25 4)-2. 1. Express as a product of disjoint cycles. 2.…

A: consider  the permutation (123)(45)(1254)-2

Q: \Sketch a graph of the given function. Clearly show intercepts, end behavior, and at least one test…

A: To sketch the graph of the below equation. y=x+32x−1

Q: If 3 4, then find the value of x O a. x= In O b. x= log;(4) O c. None O d. x= log,(3) Which one is…

A:

Q: Find the N-point Discrete Fourier Transform X[k] for the following sequence: 0<n<N-1 x[n] = 0,…

A: The given sequence is xn=13n,0≤n≤N-10,Otherwise. We know the the discrete time Fourier transform of…

Q: 2L (1-сos(nn)) ппх f(x) sin dx = (пп)з (1-сos(nп)) Σ 4 f(x) = -(1 -cos(пп)) sin (пл)3 L n=1 8

A:

Q: Q.5. Find the general solution of the differential system 1 1 X' = 6.-1 X, %3D %3D -1 -2 -1

A: First we will find the eigenvalues and corresponding eigenvectors and then try to form the general…

Q: Which one of the following options describes correctly the general relationship among the quantities…

A:

Q: Solve the right triangle using the given information.   a=76.9 ​yd, b=40.2 yd         Part 1 The…

A: Given that: ABC is a right angle triangle a = 76.9 yd  b = 40.2 yd

Q: Use the Comparison Test to determine if the series converges or diverges. Σ 4n + 5 n=1 diverges…

A:

Q: Approximate the positive root of the functions below using regula-falsi method, absolute error is <…

A: The false-position(also known as regula-falsi) method uses the formula:…

Q: .2 An algorithm has time complexity f(n)3n*+200x²+10000. Of is O(1) Ofis O(n?) Of is O(n*) f is…

A: 

Q: Determine whether f is continuous on its domain. continuous not continuous If it is not continuous…

A:

Q: Given the signal x'(t) below. x'(t) (a) Find X(jw) the Fourier transform of x(t). (b) Use properties…

A: We are given the following signal. So, the expression for x'(t) is x'(t)=0,     -∞&lt;t≤-22,…

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

A:

Q: 15. Let f be the polynomial f(z) = z° + z5 – 8z3 + 2z + 1. Find the number of zeros of f in the…

A:

Q: QUESTION9 Suppose that algorithm one has time complexity f,(n) = 500n and algorithm two has time…

A:

Q: find Laurent series of @sinhz= (2n-1)1

A:

Q: Prove that whenever x ∈Zand d ∈Z+, if d does not divide (x2 −3x), then x mod d does not divide 3

A: The given statement is False.  Consider, x = 5 and d = 4. Then we see, x2 - 3x = 52 - 3x5…

Q: me Wr fuzzy number right fuzzy index Bu6pat.. moda У Вибрати... left fuzzy index 1

A:

Q: Solve the following system for x, x² +2x-y+1=D0 2x+4x+y-1%= 0 x=0 and y=1 O b. x=0 and x=-2 Oc. None…

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

Q: A professor writes 40 discrete mathematics true/t these questions, 17 are true. If the questions can…

A:

Q: 5. Each year, Mary & Belo, Ltd., sets up a gift- wrapping station to assist its customers with…

A: Sample Size is given by the formula n = (z*s/h*x)^2 Where z = confidence level     s = standard…

Q: x = -2 cot 0 from y = 2 sin? 0 Set up the integral to calculate the area under the parametric…

A:

Q: 7. 3cos (@t – a), where o and a are constants 8. Show that L(cos 23t – sin 2 3t) = s²+36

A:

Q: If f(x) = 0 is a cubic equation whose roots are a, B, y and a is the harmonic mean of the roois %3D…

A:

Q: dz IV. Suppose z is a function of x and y, and ax² – y? = 2"e6y. Solve for dx

A: Here we use the properties of partial derivatives. When we differentiate with respect to x we treat…

Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: The following steps are used to evaluate the determinant of the 4×4 matrix by diagonal method. Use…

Q: Find the arc length of the graph of the function over the indicated interval. X = 3 Vyv - 3), 1<y s…

A:

Q: Find the minimum value of q(x) = x" x subject to the condition ||x|| = 1. %3D Select one: O A. 2 -…

A:

Q: Solve the optimization problem. Minimize F = 37x² + 37y2 with xy² = 16. F =

A:

Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A:

Q: 1 Consider the matrix A = -1 U1 . Let B = (A – A')² and define vector v = Bu. If v = and the vector…

A:

Q: Consider the vector space V = C² with scalar multiplication over the real numbers R, and let T:V→V…

A:

Q: Consider the system of differential equations Y1 – 2y2, Yı + 4y2.

A:

Q: If x, y and z satisfy the system of equations below: 5х — у + 2z = -2 —5х + 2у — 2z = 2 5х — у+5z =…

A:

Q: : 0s 0s n, Os zs 1, 6Vzs rs 6}. Let E= Compute y?e(x2+y?)³ dv•

A:

Q: onsider the equation f(x) = 2x³+x²- 2x- 1 a) Express the equation in factored form. (T4) %3D

A: Given equation fx=2x3+x2−2x−1

Q: Alex is planning to buy a franchise from Home Deco to sell decorations for the home. The table below…

A:

Q: Let S4be the set of all strings of O's and 1's of length 4. → znonneg such that F(s) = Number of…

A: These questions follow from definition of a Function. We explain them in detail in the next step.