Prove that a subset of a countable set is countable. Give example using real number

Q: Determine the limit: lim (-2)^4-n n+ 00 А. 2 C. doesn't exist D. B.

A: We will find the given limit: limn→∞-2n4-n We shall use the formula of limits to evaluate it.

Q: (5) Find the interval of convergence of the power series (n!)? a". Show your work. (2n)! n=0 IM:

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Q: Included below is an adjacency list for a graph with vertices named 0 through 9 (inclusive), represe...

A: Given- Included below is an adjacency list for a graph with vertices named 0 through 9 (inclusive), ...

Q: 0. 1 E1. Using the methods of the proof of the theorem about the existence of the SVD, find an SVD f...

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Q: Show that [0, o0) and [1, o0) are isometric.

A: We need to show that ,  [0 , ∞)  and  [1 , ∞) are isometric. We know that two metric spaces X and Y ...

Q: If f is bounded and integrable on [a, b]such that | f(x) | 0). *0).

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Q: Please complete number 11 and show work :)

A: To find- Find the mass and center of mass of the lamina that occupies the region D and has the given...

Q: 6. If a cars position on a straight road is given by p(t) = t3 – 6t2+ 8t %3D find the inflection poi...

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Q: Determine R (H) if R'(4) - . R

A: We have to find vector R(t).

Q: 3. By the method of least squares, fit a curve of the form y = ax + bx2 to the points: -1 1 2 3 y -3...

A: We need to fit a curve of the form y =ax +bx2  So we can use  ∑i=1nxiyi=a∑i=1nxi2+b∑i=1nxi3  ..........

Q: Complex Numbers: Find the roots. z = -2

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: For the solution of the problem follow the next steps.

Q: Verify that the piece-wise defined function x 0 is a solution of the differential equation xy – 2y =...

A: We have a piece - wise defined function ,  y = x2  , x < 0x - 2 , x ≥ 0 We need to verify y is so...

Q: ind the roots of complex numbers 1. z3 = 2 – 3i

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Q: 4. Suppose that V and W are vector spaces over a field F and let L :V → W be a function. a) Prove th...

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Q: QUESTION 9 In a Pinochle deck, each of the four suits (hearts, diamonds, spades, and clubs) has two ...

A: 4 cards can be drawn at once from the deck of 48 cards in 48C4 different ways. [Sample space for the...

Q: a. Define a relation R on Z as follows: For all integers m and n, mRn + 3|(m – n). Then 3R5 (A) True...

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Q: 2. The figure below shows the region of integration for the integral f(x,y.2) dydzdx, Rewrite this i...

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Q: A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $12 the ave...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = (t'4 – 1) Determine th...

A: We Know, v(t) = dxdt ,a(t) = dvdt   Given that, v(t) = t1.4-1cos3t     and x = -3 when t= 3To find x...

Q: 0 hours. Water begins to be pumped A tank has 15o liters of water in it at time t into the tank at t...

A: At t = 0, amount of water in the tank = 150 liters.  Upto t = 11, amount of water that has been pump...

Q: Question 1 Use the modulus-argument form re® to find the cube roots of -8 and sketch them on the com...

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: Eguation: Answor:

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Q: The x-intercepts of a parabola are 10 and -6. Determine the midpoint. 8 -2

A: We have to find the roots of the function.

Q: What is the axis of symmetry of the parabola f(x) = -2(x + 1)2 + 4? %3! X = -2 x = 1 Ox = 4 Ox = -1

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Q: Find a particular solution to the differential equation. x(t)”-4x’(t)+4x(t)=te^(2t)

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Q: Express the integral L Ey.2) dadrdy as an iterated integral in the other five different ways.

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Q: The sequence n-21 is divergent. True False

A: We have given a sequence  ,   n-2. We need to determine sequence is convergent or divergent. We know...

Q: 2. Consider the power series p(x) = E *+3)" n=0 (n+1) 3+1 2.1. What is the center? 2.2. What is p (-...

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Q: 5. find if wニメy +yそ+ Xそ an d レ メ ニ y = u-レ 2ニuv . U +V

A: To find dw/du and dw/dv from the given expressions. 

Q: 2 Find rakk (A) and a besis for column spece S(A), row space SrlA), ahd null space NA) A : 2 -13 3 -...

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Q: (с) V21+3n An = (d) (2n – 1)! An (2n+1)! (е) V2, V2/2, 21

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Q: Let G be a group having two finite subgroups H and K such that gcd(|H.K) 1. Show that HOK={e}. Justi...

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Q: Use identities +o find the exact value. COs 255° A.) JZ-J6 B.) JE - Z C.) JZ-JE D.) JE -Jz D.) J6- J...

A: We have to find the value of cos 255°.  

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Parametric equation of the line

Q: əz * əy? ax2 ar? r ar 32. Show that the Laplacian operator a/Əx² + a²/ay² + a /az? in three dimensio...

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Q: 5. Let A E Mat3×2(R) be as below: 1 1 A -2 3 3 9 and let LA : R2 → R³ be the associated linear trans...

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Q: 4. Find all the distinct values of (1 – i)5/4, then plot the results on an Argand diagram. |

A: Find the values of 1-i54 and plot the points on an Argand diagram. Find the polar form of the comple...

Q: Q\ Find f' () for csc(x) cot(x) sec(x) tan(x) f(x) = 4V3+ 8 (5V3+11 3/3 3/3 O 1LA (V3+ 1 3/3+9 3/3 3...

A: Trigonometric functions are real valued functions which relate an angle of a right angled triangle t...

Q: possible to show the the series 2 3" (2n + 1) to the number n. (You do NOT need to prove this, but i...

A: Note- Since you have posted a question with multiple sub-parts, we will solve the second sub-part fo...

Q: 10. For the following pair of functions, i) functions intersect (by calculating and stating the poin...

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Q: Theorem 11. Let f be a continuous function on R such that f(x+y)3Df(x)+f) x, yER. Show that f(x)3Dcx...

A: Since you have posted a multiple questions. So,  we will solve only first question  for you. To get ...

Q: Solve the IVP y′′ + 4y′ + 13y = 0, y(0) = 1, y′(0) = −5

A: To  Solve the IVP y′′ + 4y′ + 13y = 0, y(0) = 1, y′(0) = −5

Q: Express the integralS 4.y.2) dzdrdy as an iterated integral in the other five different ways.

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Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. - -

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Q: (r,1) = (r sin (f), r– cos (1)), (r.1) = (5,-) s numbers in exact form. Use symbolic notation and fr...

A: In this question, the concept of the Jacobian of functions is applied. The Jacobian of Gr,t is calcu...

Q: Given the function f(x)=nx° +(x- g)'1/2 1- Find the Taylor series expansion for the given function a...

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Q: a. For what vaiue(s) of a are the vectors r= (3, a, 9) and y (a, 12, 18) collinear? b. For what valu...

A: Collinear and perpendicular vectors

Q: Dynamics of rigid bodies. Write down the derivation of formula and describe each variable of "Curvil...

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