Integrate by suitable method  Asap plz handwritten solution acceptable

Q: 31. Let f(x) = [x²/3]. Find f(S) if a) S= (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: The given function is, fx=⌊x2/3⌋. To Find: f(S) for the following set S, (a) S=-2,-1,0,1,2,3 (b)…

Q: 10. Let X and Y be topological spaces. Show that if either X or Y is con- tractible, then every…

A: Given X and Y are two topological spaces.

Q: Suppose that the monthly​ cost, in​ dollars, of producing x chairs is ​C(x)=0.005x3+0.07x2+18x+700​,…

A: We will use derivative to find marginal cost

Q: Let R be the relation de ned on Z by aRb if 3a + 2b  0( mod 5). Prove that R is an equivalence…

A: To show that R is an equivalence relation we have to show that it is reflexive symmetric and…

Q: Decision Variables: x1= Variety, x2= Bakery Supplies Objective Function: Maximize Z =…

A: Objective function MaxZ=18000x1+315000x2 subjected to constrain…

Q: Suppose that surface o is parameterized by r(u, v) = (u cos (2v), u sin(2v), v), 0≤u≤ 5 and 0 ≤u< ¹T…

A:

Q: (c) xy' + 4y = 3x², y(2) = 4

A:

Q: Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS   of the vector field F…

A:

Q: (b) Suppose the raindrop accretes mass at rate dm/dt = bmv with b > 0. i) Show that the speed of the…

A: Given the equation of motion of mass accretion is mdvdt+vdmdt=F. (b) It is given that the rain drop…

Q: 5. Draw the graph of the function f(x) = [2x] from R to R.

A:

Q: (a) Find a vector parametric equation for the ellipse that lies on the plane x + 3y + z = 5 and…

A:

Q: Find the auxiliary roots (D4-2D³-7D²+ 8D+12) y=0 A) -2, 1, 2, 3 B) -2,-1, 2, 3 C none of the choices…

A:

Q: how do we represent a function using a power series?

A:

Q: Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when…

A:

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. (If not…

A:

Q: Let V be a vector space, v, u € V, and let T₁: V → V and T₂: V→ V be linear transformations such…

A:

Q: Find the sum of the series. 00 n = 0 (-1)747x²n n!

A:

Q: Consider the graph G : O D Which of the graphs below is isomorphic to G? O A. B. H H F X V U Z…

A: The given graph G contains two 3-cycles, which are ABGA, and EBGE.  The graph in option (A) contains…

Q: how to do?

A:

Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

A:

Q: This will be (n+k-1)= 29+6-1 29 -¹1) = 34 29 = 278, 256.

A:

Q: Assume you have taken out a 25-year loan of $177,790 with an annual interest rate of 6.73%,…

A:

Q: A contract requires lease payments of $400 at the beginning of every month for 4 years. a. What is…

A:

Q: Find the Fourier Transformation of II (+-2) Select one: ○ e-3jxf sinc(f) -2j*f sinc(f) ○ ejf sinc(f)…

A:

Q: example of a function f:[0,1]→ℝ such that f is not continuous, but f does satisfy the conclusions of…

A: Given function f:01→R f is not continuous, but f satisfies the conclusion of extreme value theorem

Q: The Fourier cosine series of the function is given by f(x) = - 2x if 0<x< π/2 π 0 if π/2<x<« f(x) ~…

A:

Q: 6.14. Let TT € S8 be the permutation defined by π(1) = 3, TT (2) = 8, TT (5) = 6, TT (6) = 1, (a)…

A:

Q: Determine the intervals on which the given function is concave up or down and find the points of…

A:

Q: Find the first four nonzero terms in a power series expansion about xo for a general solution to the…

A: Solution:-

Q: Problem 1. Let H be a Hilbert space and p: HH be a projection, i.e. it is a Linear application such…

A:

Q: ind the eigenvalues of A, given that A= nd its eigenvectors are he eigenvalues are 7 -4 8 -1 8-58 -1…

A: We use definition of eigenvalue and eigenvector of a matrix to find required eigenvalues.

Q: Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the following surface…

A:

Q: Write x as the sum of two vectors, one in Span {₁,2,3} and one in Span {u4). Assume that {u.....4}…

A: The given vectors are u1=01-6-1, u2=5711, u3=101-6, u4=7-5-11, x=11-540. The set {u1, u2, u3, u4} is…

Q: Consider the surface at the point P (0,3,0). a. Choose the correct equation for the tangent plane to…

A:

Q: The slope field for the equation y' = -x -y is shown below On a print out of this slope field,…

A: The slope field for the equation y'=-x-y passes through 1,0

Q: lve the given nonhomogeneous linear ODE by variation of paramet efficients. Show the details of your…

A: The given differential equation is: x2d2ydx2-4xdydx+3y=x2sinx. We have to solve the given…

Q: Transformation of ₂F, : A If |x| < 1 and < 1; then : 2F₁ (a, b; c; x) = (1 − x)¯ª, F₁ (a₁c-b;c; __)…

A:

Q: Which of the following graphs are connected? > 0 0 A. B. C. I R H N * # S D

A: Remark: Connected graph:  A graph is said to be connected if there exists at least one path between…

Q: A₁ = [1₂8], 0 [:)], 1 A3 = A₂ A4 = - [8], - [89] 1 2x2 form a basis for the linear space V = R²×2.…

A:

Q: Give an example of each of the following or prove that such a request is impossible. infinite family…

A: Here we have to give an example or prove that such a request is impossible. e) infinite family of…

Q: Objective Function Maximize: Z = 30X₁ + 50X2 Subject to: Constraint 1: 2X₁ + X₂ ≤ 16 Constraint 2:…

A:

Q: Calculate the complex integrals with Cauchy's integral formula For W=0 and W=2, calculate according…

A: Let W=0. The integral becomes I0=∫Cz3+2z+1z-0dz. Now 0 is the singularity of the integrant. So let…

Q: Find the images of v and u under the composite of T₁ and T₂.

A:

Q: realizes that she hasn't reset her pedometer. From the Chupacabra Tr es along a bearing of N41°W…

A: Given that a hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead…

Q: g) x" +0.4x + 2x = 1 - H(t-5), x(0)=0, x'(0) = 0.

A: Since both are different. So as per our guideline, we are supposed to solve only first question.…

Q: Question: I need help with this Discrete Mathematics problem. Prove by induction that integers n> 9…

A:

Q: The matrices A₁ = [18], 42 = [8], [8]₁4 = [] A3 = = form a basis for the linear space V = IR²X2.…

A:

Q: 5) Write a simplified Boolean expression for the circuit below р q OR AND NOT OR OR

A:

Q: s2

A: