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Q: Show that

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

Q: A small box measures 10 in by 7 in. by 3/4 in. High . Find the volume of the box.

A: Note: The volume of a rectangular box / cuboid is found by multiplying the length by the breadth by…

Q: Let Rn be the group of rotations of a regular pentagon, and let r be counterclockwise rotation by…

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Q: C. Find the moment of inertia about x-axis of a thin plate bounded by parabola (x y- y) and line (x…

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Q: {t) + 4г(t) — exp( — 4t)сos(3t) + еxp( - 4t)sin(3) -

A: Continuing from the miscalculated step.

Q: x* dy +lyt txy) dx =0

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Q: Work Problem ( question. ) You must provide a clear and detailed solution for each Question 1.…

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Q: W, = (/:(4) = 3 +f(2)} W,= S: 2(3) =(1)} W, = (S:(5) = 0}. Then (a) W, alone is a subspace (b) W,…

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Q: max ac log(c) + a„ log(n) c,n S. t. c+ bon < w(1 – bịn) The solution for fertility is: * (ac +…

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Q: Consider the figure shown below. 10 mm 8 mm b What is the length of the missing leg? b = millimeters

A: Note: Pythagorean theorem: For a right-angled triangle, we have (base)2 + (height)2 = (hypotenuse)2…

Q: The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the…

A: We will find relation between θ and position of point P . Then find values from graph

Q: Q4/ Solve the differential equation a) xy. = 1+ x+y+ xy b) = V 1+ sinx(1+ y²) when y(0)=1 dx

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Q: 2. There are 5 different candidates for major in a city. In how man different orders can the names…

A: Given that Number of candidates are there for a major in a city=5 To find Number of different orders…

Q: in a graph What is a block ? And give an example

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Q: 5. f (t)=-3t*e0.5t +3.8t²e²4+

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Q: what is K-connected of a graph ? And give an example

A: Definition: A graph is said to be K- connected graph or K edge connected graph if after removed less…

Q: 1. Find the (a) mean, (b) median, and (c) mode for the folowing set of data. 3.1, 4.3, 3.9, 4.0,…

A: We have to solve the given problem.

Q: 2) Fit a straight line to the data shown below using least squares method and compute the standard…

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Q: he differential equation using Bernoulli equation x dy/dx + 6y = 3xy4/3

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Q: Suppose that a function f(x) satisfies the following properties, together with the table of signs…

A: # vertical asymptotes are vertical lines ( parallel to y-axis ) which touches the curve at infinity…

Q: Consider the vector field f (x, y, z) = xz i + yz j+ x²y² k . Let S be the surface of the sphere of…

A: Using parametrization of the surface and curve

Q: Your job is to erect a telescope on the newly discovered planet's moon. You must place the telescope…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: Directions: Approximate the area under the curve and above x- axis using (a) Leit Riemann Sum, (b)…

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Q: 2. Find a basis for the subspace W = {[x y z]T : ax + by + cz = 0, a,b, c € R} of R". What is the…

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Q: Find all solutions to the equation. 2 sin'x- cosx=1 Write your answer in radians in terms of t, and…

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Q: Consider the two series: 00 2n + 3 (a) n2 In n 00 1+ (n – 1)! (b) > n! n=1 Which of the following…

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Q: Advanced Math A company estimates that the production cost function of x product is giving the…

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Q: do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the trigonometric…

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Q: Exercise 2 Let F be a field and let A E Mxn(F) be a diagonalizable matrix. (a) Let k2 1. Show that A…

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Q: the initial-value problem by finding series solutions about x-0: xy" – 3y = 0; y(0) = 1; y'(0) = 0…

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Q: dy+ydx=Xcasx-dx-

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Q: 5x sec Suppose m' is continuous at r = 0 and m'(x) if x > 0. log3 (2.x + 1) + cosh r If m" (0) = 0,…

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Q: h(x,y) = x* – 3r + 3ry?.

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Q: If f(x) = 4,/7In(zæ), find f'(x). %3D Find f'(2). Submit Question

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Q: (b) Let w(s,t) = u(e" cos(t), e" sin(t)), where u(x, y) is unknown. Use the chain rule to express…

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Q: Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2x2 +3x3 +x4 10 Bring the…

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Q: After having a nice dinner with two coworkers, you decide to evenly split the $135 dollar bill…

A: Given: After having a nice dinner with two coworkers, you decide to evenly split the $135 dollar…

Q: = {lu v w]T = 0} 4. Find an orthonormal basis for the subspace S : u + v = 0 and u – 2w of R".

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Q: Use Eq. (1) to prove the recurrence relation: (n + 1) Pr+1 = x(2n + 1) P – n Pn-1

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Q: (D + D,)'u = 0

A: We have to solve given problems:

Q: Xdy+jdx= Xcasx-dx-

A: According to guidelines i solve first question so kindly request you to repost the remaining…

Q: SURFACE INTEGRALS F.n dA Evaluate this integral directly or. if possible. by the divergence theorem.…

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Q: a. Construct two chords on the coin. b. What is a chord? c. Do the chords need to be congruent?

A: (A) construct two chords on the coin? (B) what is a chord? (C) do the chords need to be congruent ?…

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x ーX

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Q: Let n = pq where p and q are two distinct primes and consider Zn. Further, let [a] E Zn be an…

A: The result follows from using the definition of the order and the definition of the Carmichael's…

Q: xdy+ydx=xcasx-dx-

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Q: C. Classify the following variables as quantitative or qualitative variables. If the variable is…

A: The quantitative variables are those variables which take countable number or discrete. The…

Q: f :Z x Z Z f(m, n) = m – 2n - Which of the following is/are true? Check all that applies. O fis…

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Q: ploy Crout's decomposition to solve the system. 5x1 – x2 = 9 -x1 +5x2 – x3 = 4 -x2 + 5x3 = -6

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Q: Consider the differential equation (E): x'y"- xy' +y 0. Given that y, = x is a solution of (E), then…

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