(c) Give one example where the Green theorem fails, and explain how.

Q: 1. Use deductive reasoning to show that the following procedure produces a number that is three…

A: We have to solve given Questions.

Q: Compute the volume of the solid generated by revolving the region bounded by y=x and y=x² about each…

A: a. Consider the given curves, y=x and y=x2 now, intersection of these two curves is, x=x2x1-x=0x=0…

Q: Find the cardinality for each of the following sets. > 10 D {0, 1, 5} x {1, 3} { x = Z x² < 8} Z+ -…

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Q: Prove: u-v=v-ü for vectors i,v in V₁. Show all steps clearly, do not skip steps! Use vector…

A: we will take vector u and v then use out comes of dot product to prove it commutative  Values of dot…

Q: 8. Given: 2+2+ y = et, y(0) = 1 and (0) = 2, Find by Runge-Kutta Fourth Order Method: (c) y(0.5) (d)…

A:

Q: A tank initially holds 200 gal of brine solution containing 3 lb of salt. At t=0, another brine sol…

A:

Q: Route 1 has a free flow travel time of 10 minutes and the average travel time on this route…

A:

Q: In the frieze group F7, write x-3zxyz in the form xnymz k.

A: It is known that F7=xnymzk∥n∈Z,m=0,k=0 or k=1 and x is the translation of R2, and it map u,v to…

Q: Graph: y=10sin(3pi(t))+115. Please show intervals

A: Consider the given function, y=10sin3πt+115 So, it can be observed that, ampltude=10angular…

Q: Consider the surface described by the equation x³ +y³ + z³ = xyz = 1. a. Check that this surface can…

A:

Q: Example 3: Given the function h(x) = (x-2)/(3x + 4) and g(x)= (x+5)/x, determine the point(s) of…

A: The given functions are   hx =x - 23x + 4 and gx = x+5x To find the point(s) of the intersection, we…

Q: 2. Find the general solution for Differential Equation: (x² - 1)y³dx + x² dy = 0

A: Given : x2-1y3dx+x2dy=0 To Find : General Solution of differential equation

Q: Tell whether the followign is a binary operation or not. Explain your answer by giving counter…

A:

Q: 1.3 Please answer this with explanations. A. An amount of $1,000 is invested at a rate of 4%,…

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Q: Verify by confirming all Solution vector Solution not K = 9 Set space a Set K = 9 b = 13 S3 S2…

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Q: Consider the nonhomogeneous differential equation x²y" (x² + 2x)y + (x+2)y=x³, x > 0. 1. Verify that…

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Q: 12 2 6 10 -10 2 1 22 If the Gram-Schmidt process is applied to determine the QR factorization of A,…

A:

Q: 4. 3 2 5 (25) 3.gams 26 anoisio Function: Domain: 2-3,25 3,2). (8 ++ Range: -3 3 -3. 5 2 5 2010…

A: Given: -3,25,-3,35,32,5,5,25 We have to find domain ,range and function.

Q: The linear transformation L defined by L (p(x)) = p(x) + p(0) maps P3 into P2. Find the matrix…

A: Given : L:P3→P2 , Lpx=p'x+p0  To Find : Coordinates of Lpx with respect to the ordered basis 2 , 1-x…

Q: Assume that C is an (n, k) binary linear code and that, for each positioni = 1, 2, . . . , n, the…

A: it is known that a binary linear code is a subspace of a linear space F2n for some n∈N. Now, let C…

Q: Can you please give a explanation of why the rank of B is 2 and how you find the rank and what is…

A:

Q: x² + 4x = 10(mod11) (mod11) X=

A: Given that x2+4x≡10 (mod 11)x2+4x+4≡10+4 (mod 11)x2+4x+4≡14 (mod 11)x2+4x)(x+2)2≡14+11 (mod…

Q: Problem 3 Let = N and A = P(N). Let P: A → [0,1] be a function with the property that for all A,BEA…

A: Given: Let us consider Ω=ℕ and A=Pℕ and P:A→0,1 and the function with property  PA=PB⇔#A=#B ∀ A,B∈A…

Q: Obtain the differential equation of the family of plane curves described,and sketch several…

A: 1st we will find equation of lines / curves and then using derivative eliminate arbitrary constant…

Q: 2. Evaluate for the unknown variables Using the following, (a) Gauss-Jacobi Method (b) Gauss- Seidel…

A: (a) Let X1=x, X2=y, X3=z By Gauss-Jacobi Method Total Equations are…

Q: What is the difference between the matrix Cabibbo Kobayashi- Maskawa and the one of Pontecorvo Maki…

A: We need to explain the significance and the application of the Cabibbo-Kobayashi-Maskowa matrix and…

Q: Let T V W be a linear map. : Show that Range T = Span{Tv₁,..., Suppose V Tvn}. = Span{V₁,..., Vn}.

A: Given : T : V→W be a linear map and  V = Spanv1, v2, ... , vn. To show : RangeT = SpanTv1, Tv2, ...…

Q: 1. Determine the convergence/divergence of properties (absolute? conditional? uniform? range/radius…

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Q: p = T₁ q = F, and r = F. Select the expression that evaluates to true. Oa. (qvrv-p) Ob.(qvr)^p…

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Q: If An B C ANC does this imply that B C C?

A: No, that doesn't imply that B is subset of C.

Q: Due to economic and political implications, the value of the purchasing power of a thousand-peso…

A: Given: From 2020 to 2021 the rate of decrease is 8%. Initial and final purchasing power is 100 pesos…

Q: to assist by determining a formula t and then to tha

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Q: Suppose Matt has invested in a mutual fund that is compounded annually at 18.03%.  How long will it…

A:

Q: The predicate P and Q are defined as: Q(x, y): (x+y)/2=4, P(x, y, z)=(x+y)/2= z The domain for all…

A:

Q: Let f(x₁) = 4√xy² + 4y + ex 1. Use local linear approximation to estimate. 4√ (0.1) (0.9)² + 4(0.9)…

A:

Q: Centroid of lines Find 01. THE X X 0 To > Griven Q = πT Radian. 8 $ C 14 r = 4,75m Radian and ✓…

A: Given : r=4.75, θ=π/8, ϕ=π/4  To find : x,y

Q: 3. Solve the Differential Equation: (x² + y² + 3)dx - 2xydy = 0

A:

Q: Explain how circles are related to the Pythagorean Theorem. You may include triangles in your…

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Q: Graph the following functions with a calculator and determine the Domain and Range. a) y = 2x − 1…

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Q: Find the sum of the following geometric series. 1+ 1/4 + 1/16 + 1/64 +..

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Q: Refer to the figures on the right for the following questions. If you are asked to identify a…

A: Q4) (a) We have to rewrite the equation x2+4z2=16-4y2 in standard form then identify the surface…

Q: Given, we have a finite purely non-atomic measure space (X, F, µ), prove that µ(F) = [0, µ(X)].

A: Let β∈0,μx then there exist M∈F with μF=β. Let P=M∈F:μF≤β so this poset,ordered by "almost every…

Q: Use the display of data to find the mean, median, mode, and midrange. The mean of the data is (Round…

A: Given: Let us consider the given graph, To find: The mean, median, mode and midrange.

Q: 2 Verify that R~I + A, with A given by A=0,J, +0yJy +0.J₂, satisfies the condition det R = 1.

A: Given,            A = θxJx + θyJy + θzJz

Q: (6x+y²) dx + (2xy - 3y²) dy =o

A:

Q: Suppose that the set {w₁, w2} is linearly independent and suppose that V1 W₁ + W2, 2w2. Prove that…

A:

Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

A: To Do: Make an original example of the elimination of arbitrary constants (Differential Equation).

Q: #10-11 y=tan(x/3) #12-13 y=sin(0.5√x)/x #14-15 y=e+x at x = 3 at x = 1 at x = 2

A:

Q: 2x² + 3x = 14(mod19) X = * (mod19)

A: Given,            2x2+3x≡14 (mod 19).

Q: 16. Calculate the series Σ2² O 255 O 64 O 127 O 63

A: