Inside one leaf of the three-leaved rose r = cos(30).

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Q: Q 9) Does the series: ∞ ∑    1/4n-1 n=1   converge or​ diverge? Give a reason for your answer.…

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Q: 5. Use the definition of a Maclaurin Series to express f(x) = as a Power Series. Give the 8th degree…

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Q: Use the function to find the image of v and the preimage of w. T(V₁₁ V₂) = (v₁ + V₂₁ V₁ V₂), v= (5,…

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Q: 1. a) Use row reduction to find A - A = of 1 0 1 2 -3 -3 4 4

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Q: Which of the following is true about the sequence In (3n -n²+1) - ln(n³ + 2n¹ +5n)? = an 3 The…

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Q: 1. Let S be the triangular region in R³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: 1 Given that S be the triangular region in R3 with vertices at 2,0,0, 0,6,0 and 0,0,3 with upward…

Q: Consider the initial value problem X₁ x(t) = = dx dt 2-4, ₁- = - || (a) Find the eigenvalues and…

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Q: I f(x,y) = sin 3(x+y) over the square 0≤x≤6.0sy≤ 6. R

A: We have to find the average value of function  f(x,y)= sin(3x+3y) Over the given square .

Q: What region R in the xy-plane minimizes the value of the following expression? JS (2² (x² + y² - 9)…

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Q: 2. Ali is seated on the line which is normal to the curve f(x) = x² - 2x + 4 at the point (1, 3). 3.…

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Q: If sequences {an} and {b} both diverges to infinity, then the sequence an {a}} bn is convergent.

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Q: 21 40 JJJ. 7yz cos(10x5) dv, where E = sin (2) X = {(x, y, z) | 0 ≤ x ≤ 1,0 ≤ y ≤ x, x ≤ z ≤ 2x}

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Q: (f) Let the columns of A be denoted by a₁, 32, 33, 34, and a5. Which of the following sets is (are)…

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Q: Let f (x, y, z) = 9 (√x² − 4y² + 3²) √√x² + 16y² + 2², where g is some nonnegative function of one…

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Q: Find the L^-1 iNVERSE LAPLACE k.) G(S) = 25/s^3(s^2+4s+5)

A: Given: G(S) = 25/s^3(s^2+4s+5) We have to apply the inverse Laplace transform.

Q: (c) Find the remainder of 9045142161 on division by 247 using Euler's Theorem. [Hint: 247 = 13 x…

A: Euler's Theorem: It states that if gcd(a,n) = 1, then aϕ(n) ≡ 1 (mod n), where ϕ(n) is the Euler's…

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Q: (a). Determine the Fourier series for the 2p-periodic function given on the interval [0,2p) by f(x)=…

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Q: 1. a) b) Use row reduction to find A-¹ of = 1 0 2r -3 4 4 Use the result from part a) of find the…

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Q: 22. A diving pool can be filled by a pipe in 10 hours if the drain is opened. If the pipe was…

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Q: Verify that the vector X, is a particular solution of the given nonhomogeneous linear system. ×' -…

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Q: Find all automorphisms of D3

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Q: Use the branch and bound method to solve the following IP: max z = x₁ + 2x₂ s.t. x₁ + x₂ = 10 2x₁ +…

A: use the branch and bound method to solve the following IP max z=x1+2x2s.tx1+x2≤102x1+5x2≤30x1 ,…

Q: QUESTION 3 Ondile is packing a lunch box to take to school. Ondile can make 6 kinds of sandwiches,…

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Q: 2. Let B = {v₁ =, √₂ =, V3 =, V4 =}. Use determinant to determine whether B is linearly independent…

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Q: Use the Chain Rule to find az/as and az/at. sin(0) cos(p), 0 = st7, p = s³t əz t³cos(p) cos(0) —…

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Q: 1. Let S be the triangular region in R³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: Introduction: Double integral or surface integral is the process to integrate a multi-variable…

Q: Which of the following is equivalent to plq (p->q)&(q->p) (d(bb)¡((bb)¡q)((!q)->(!p)))

A: Given: Let us consider the following conditions, p→q&q→pp→q↔q→pp→p→~q↔q↔~q↔p→qq&p→q↔(~q→~p)…

Q: The function f is defined as follows: f: R2 R2 with f(x, y) = (2x, x+y) Which statement is correct?…

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Q: Let V be a subspace of Rª spanned by Select one: O a. 2 O b. 1 O c. 3 d. 4 WN O 0 2 3 st -3 10 4 -6…

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