Please use a triple integral to find the volume that remains when a hole of radius R is drilled through the center of a sphere of radius 2R.

Q: For any integer z, if 3 divides z2, then 3 also divides z.

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Q: 6) Let S be a symmetric, invertible matrix and let M be an invertible matrix of the same size as S.…

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Q: ← Graph the function using the given viewing window. Find the intervals on which the function…

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Q: 52-4 OC. There is no solution. 7-7z There are (Type whole numbers.) z), where 2 is any 3. A theater…

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Q: R = 1 I n=1 ? ✓ 3″ (x + 7)" √n 0

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Q: 4. SI. 1 2 3 4 X 0 1 2 Y 2.2 10.6 17.0 22.4 a. Use the nodes given above to set up a lagrange…

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Q: You deposit $4000 each year into an account earning 3% interest compounded annually. How much will…

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Q: 4. L {t ['sin Tdr}

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Q: Given the system 2x + 5y = 9 - 2y-z = 3 3x - 4y - 7z = 1 X- 1. Setup the augmented matrix. 2. Solve…

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Q: Given the first term and the common difference of an arithmetic sequence, find the first five terms…

A: Given that, a1=-34d=-10 The first five terms and the explicit formula are determined as shown below.…

Q: Find the Laplace transform of the periodic function f(t) whose graph is given below. --1 1.0 -1 1,0…

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Q: Suppose that a game has the following payoff matrix. 5 -1 [] -8 7 Calculate the expected values for…

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Q: Find the dimension of the vector space V and give a basis for V ,                  V={p(x) in P 2:…

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Q: Find a basis of the subspace of R³ defined by the equation 2x1 + 3x2 + x3 = 0.

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Q: incorrect answer for question 2

A: Let f be the fraction of the income earned by the top 5% of population. Thus, ∫0fx7dx=5% Integrate…

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Q: How many integers in between 1 and 3000, inclusive are divisible by either 5 or 7?

A: Let A and B are two sets such that then number of elements in A and B are obtained as…

Q: Consider the Ivp: x²+4+x=0 x(0)=-1, x²(0) = -3 Using the Euler method with a time step of At = 0.5…

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Q: Give an example of a 2 x 2 matrix with no real eigenvalues.

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Q: Z₂ [x].

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Q: The value of a diamond bracelet depreciates at a value of 20% per year (in other words, the value of…

A: To solve this problem, first we have to determine an equation that connects the actual value of the…

Q: Find the inverse, if it exists, for the given matrix. 4 Find the inverse. Select the correct choice…

A: Determinant is 7*7-4*3= 49-12= 37 , which is not equal to zero  Therefore the inverse exists.

Q: Use the Trapezoidal Rule, the Midpoint Rule and the Simpson's Rule to approximate the integral -4 -0…

A: Given : I=∫24-θcosθdθ , n=6 To find : (a) Integral value by using Trapezoidal.             : (b)…

Q: Task 1 using the definitions of limit and/or infinite limit show that if  limn→∞ sn = ∞,  then also…

A: If (s_n) is a sequence, then we write lim_n→∞ s_n = ∞ if ∀M >0, ∃N s.t. s_n > M ∀n ≥ N. Such…

Q: d). Let u be an arbitrary increasing fn of t. show that ƒ [√xc² ) ² + ( 4 ) ³ + ( 3 ) ³ ] du = [[]…

A: Please find the attached answer

Q: Determine this function from R to R is a bijection. f(x)=2x+4

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Q: 4. Find all cube roots of √3+ i

A: Since you have posted a multiple question according to guildlines I will solve first (Q4)question…

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Q: In Problems 23-42, use the table below. Events A, B, and Care mutually exclusive; so are D, E, and…

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Q: Consider the function G(z) = z¹/². a) Find the regions of analicity of G(z) b) Derive a conservative…

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Q: Suppose you want to have $500,000 for retirement in 35 years. Your account earns 8% interest. How…

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Q: Proof: Let z be a continuous random variable o² = E[(x-μ)²] = (x-μ)² f(x)dr 08 Cl-ka 8 - ko FL " +…

A: Let fx denote the probability density function We know that if X is a continuous random  variable…

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Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = (3 – t) (u₂(t) — u₁(t)) F(s) = L…

A: Formula of Laplace transform  Lu(t-c)=e-cssLtkf(t)=(-1)kdkdsk(F(s))

Q: Let A = - 14 21 Find - 3A + 4B. -3A + 4B = and B = 24 69

A: Given that, A=-1421B=2469 The operation is performed as shown below.

Q: In how many ways can 3 English, 3 history, and 3 math books be set on a shelf, if the English books…

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Q: earning

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Q: Let u(x, y) = x² - y² and v(x, y) = x³ - 3xy². Show that u and v are harmor functions but that their…

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Q: ← Use row operations to solve the system. z = -1 X+ y- 3x - y + z = 1 x - 4y + 2z = -24 Select the…

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Q: 5. Let G be a group. (a) Prove that Inn(G) is a subgroup of Aut (G) (b) Prove that for any € Aut(G)…

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Q: ↓ -5-55 5 -4 2 Select the correct choice below and, if necessary, fill in the answer box to complete…

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Q: What are the benefits of a place-value system in numeration?

A: place-value systems make it easier for people to do arithmetic they also help computers perform…

Q: Use the Squeeze theorem to show that lim x →0 COS X x² cos(x+1)² x² 1 x3 = 0

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Q: Consider the following problem. Maximize Z = -X1 - X2, subject to x₁ + x₂ ≤ 8 x₂ ≥ 3 -x₁ + x₂ ≤2 and…

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Q: Compute the product. 9 II = 3 i(i + 2) (i − 1) (i+1) ||

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Q: Consider the periodic function f(t) defined as follows: - 2t f(t) = 2 e for 0≤ t < 2, and f(t+2) =…

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A: As given , initial amount of salt S=2 kg. After 5 minutes, remaining amount of salt is 1 kg. Also,…

Q: 1) Consider the matrix A = −1 102 020 004 . (i) Compute the inverse of A. (ii) Write A as a product…

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Q: 2) Find what conditions must be placed on b, b, and b¸ in order for the 1' 2' following linear…

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Q: Need d,c

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