Find the time required for an investment of 5000 dollars to grow to 6200 dollars at an interest rate of 7.5 percent per year, compounded quarterly. Your answer is t = years.

Q: let (x,y,z) be Scalar Field and F a vector field.. $ Derive expression for D. (OF) and * (OF) in…

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Q: 4. How much money should be invested in an account that earns 9.5% interest, compounded monthly, in…

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Q: Let B be an ordered basis for R² and linear transformation to be "identity transformation" L(v) = V…

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Q: 3. Consider A = {m, a, t, h} B = {s,t, e, m} a. What is An B² C = {x: x = 3n, 1 ≤ n D = {x: x = 2n,…

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Q: Find the sum of Matrix A and B: [2 5 81 A 1 2 4 [3 2 8 Find AB A-] - [₁3] 1 8 [58 7 B = 4 2 2 [124]…

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Q: Can Z121 have a subgroup of order 20? Explain.

A: Subgroup of order 20

Q: 3. Let f(x)=x² + 3 and g(x)=x³-1. Use the standard inner product on C[0, 1] to compute the…

A: An inner product space on the vector space V over the field F is a map from V×V to F written as  , .…

Q: 2 2xy) dy, v es (0, 0), (2, 0), (

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Q: the following series is convergent or diverg u are using in each case. Σcos(nn) n² + 3n-2 n³ +4n² -…

A: Test for converges,

Q: H.W solve by Picard method (up to third y (0)=0 Find y (0-1)? aus// 1₂ (0-1) = (0-1)² + (0-1) s +…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 -…

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Q: -{ts- S (s-1) (s+2)

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Q: 10. Let (G, *) be a group, and let H≤ G. Define N(H) = {x € G: x¹ *H* x = H} [Normalizer of H in G].…

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Q: 6. (a) (b) (c) (d) (e) True/false. Give a one sentence justification. A singular 2 x 2 matrix can…

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Q: After separation of variables, if the constant is a negative value, how is the Fourier series…

A: Given  the one dimensional heat equation with some boundary conditions, i.e  ∂u∂t=k∂2u∂x2…

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Q: Write x as the sum of two vectors, one in Span ({u₁,42,43) and one in Span (U4). Assume that…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: To find the volume of the solid generated by revolving the region bounded by the below equations…

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Q: Two friends wash cars to make extra money. The profit P(x) of one friend after x days can be…

A: Given that profit P(x) of one friend after x days can be represented by the function P(x) = - x ^ 2…

Q: Draw the subgroup lattice for Z28-

A: Draw the subgroup lattice for Z28

Q: 2x12 (1,1) (4,1) (4,2) (3,2) (2,2) (1,2) (3,4) (2,4) (1,4) (1,5) (4,5) (4,4) Question:  Create a…

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Q: Ompute the expected payoffs of the game for the pairs of strategies in parts (a-d). (Round your…

A: In this question, the expected payoffs of the game for the pairs of strategies are calculated. The…

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Q: Solve the following equations: a) d²y dy dx² - 3 = 9, when x = 0, y = 0, dx dy 3 b) 2 d²y - dx² dx -…

A: Use the given differential equations.

Q: Suppose your friend loans you $200 for a week, which you agree to repay with 6% one-time interest.…

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Q: 4. (Section 17.8) Use the Divergence Theorem to calculate [[F F-dS, where F = y + ryj – zk and S is…

A: To use the divergence theorem to calculate ∫∫SF⋅dS.

Q: Question 19. A circular area of 1²0 is swept out as a rod of fixed length r = 1 m pivots about a…

A: The rate of change of area with respect to the time can be calculated by differentiating the area…

Q: 4. Let p, q, and r be the statements p: Grizzly bears have been seen in the area. q: Hiking is safe…

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Q: Lacey would like to set up a retirement account that pays her $3,400 a month. If she sets up a…

A: To determine the amount of money Lacey needs at the time of retirement.

Q: Define T: (C¹ [0, 1], || · ||…) → (℃ [0, 1], || ||) by Tf = f'. Show that T is not continuous. Is…

A: T:C'[0,1], .∞→C'[0,1], .∞ T(f)=f' Let f(x)=xn then T(x)=nxn-1 T(x)=nxn-1 as n→∞,   T(x)→∞ So T is…

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Q: A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It…

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Q: fo 2. The effectiveness of studying for an exam is given by the function E() = (2 have only one full…

A: For absolute maximum or minimum  i) verify that the function is continuous on the given  interval…

Q: 3. Let p and q be the statements Express each of these a.) p q b.) ~pv (p^q) p: I bought a lottery…

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Q: Ev 2 x 2 [x²z dx - yx² dy + 2 dz along the curve C'shown in the figure. AZ 2

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Q: 6 The vectors v₁ = -6 and V₂ = 4 orthonormal basis for W. 9 2 13 2 3 form an orthogonal basis for W.…

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Q: 1. Solve this system by graphing. (2x + y = 3 y = x - 3 The first equation is graphed for you below.…

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Q: The nutritionist of CMU Hospital serves lunch consisting of two courses, A and B. Assume each unit…

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Q: b) Prove that if G is a tree, then it's vertex with maximum eccentricity is a leaf.

A: Solution :-

Q: Find a logarithmic equation that relates y and x. (Round all numerical values to one decimal place.)…

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Q: Given: f(x) = ln (1+x) Using the given function at x0=0, approximate f(3) by making use of the…

A: Given function: fx=ln1+x