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Q: Find the number of positive integers not exceeding 104 that are not divisible by 5 or by 7.

A: In this Question we have to find the number of positive Integer between 0 and 104 which is not…

Q: Consider the following recursive sequence s So = 1, Sn = 2 * Sn-1. + Prove for all i≥ 0 that s; = 2¹…

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Q: Derive the expressions of Forward Divided Difference (FDD), Backward Divided Difference (BDD),…

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Q: dy dt = -0.06 y

A: Given: dydt=-0.06y, at t = 0 the tank contains 3 m3 water, that is y(0) = 3. Using Runge Kutta 4…

Q: Consider the sequence recursively defined by the rule sn = 2sn-1/n for n ≥ 1, with the initial value…

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Q: Problem 16 solve the IVP. -00o Ust =4 Ихя U (0,0) = ēt² 44 (410) = xe² xẻ étez -x² Ans. U(216) = 1/2…

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: Find a least-squares solution of Ax = b, where A = least-squares solution: * X1 X2 (enter integers)…

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Q: Use Calculus to find the volume of the following solid  The portion of a sphere with radius r and…

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Q: Test the convergence of the following series a) En=ınte=n? Σ-1

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: A 100-L tank was initially empty, but is to be filled with salt-and-water solution. The way the…

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Q: football is kicked into the air, and its height (h) in feet after t seconds is given by h (t) =…

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Q: Let A be a square matrix. Then there exists a lower triangular matrix L and an upper triangular…

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Q: Evaluate ∞     n = 0 (−1)n 2n + 1 as 1   0f(t) dt where f(x) =  ∞     n = 0(−1)nx2n =  1 1 + x2

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Q: Consider the equation ln(x + 3) = x2 a)  Write a function f (x) that can be used to find the…

A: According to the guideline only one question can be answered. Please repost other question…

Q: 2) Phoebe Small still has 35 pages of history to be read after she has been reading for 10 minutes,…

A: Summary: Phoebe small start reading an assignment. After 10 minutes, 35 pages are left. After 50…

Q: 1 Truth table (10 points) Consider the compound statement X = (A^B) ⇒ (AB). (10 points) Complete the…

A: Given that a compound statement X=(A^B)=>(A=>B).

Q: Give an example of a nonconstant complex sequence that converges to 5 + 2i.

A: We have to construct a sequence of complex numbers which converges to 5+2i.

Q: Five years ago Uncle Shelby had $108,000. He put of the money in the bank. He invested the rest of…

A: This question is basic maths question with general understanding and calculations.

Q: Travis Thompson uses his credit card to obtain a cash advance of $600 to pay for his textbooks in…

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Q: (c) Study the convergence of the following series Is it absolutely convergent? Σ n=1 (-1)"+1 2n +…

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Q: Evaluate w f(x, y, z) dV for the function ƒ and region W specified: SSSw(42(x + y)) dV = f(x, y, z)…

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Q: ) What are the conditions on the common difference d and initial value a, that would make the…

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Q: When should they stop their engine so that they reach the space station? What is there position when…

A: We will use the fact that once engine is stopped the space craft will move along tangent to the path…

Q: Compute the SVD of QA = 3 2 3 322

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Q: (0² +4) y = 8 sec 2x

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Q: 7. Use the Laplace transform to solve the difference equation 3x (t) 4x(t-1) = 1, x(t)=0 for t < 0.…

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Q: Find the center of mass and the moment of inertia about the x-axis of a thin shell of constant…

A: Given That : A thin shell of constant density δ cut from the cone -x2+y2+z2=0 by the plane x=1 and…

Q: Use the Heine-Borel Theorem to give an example of a noncompact set in R with the usual topology and…

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Q: Which is the solution set of the inequality x-4> 7? a. {x ER |x > 11} C. b. {xRx < 11} A {x ER |x ≤…

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Q: Problem 8.3 Vector fields Sketch (qualitatively) the following vector fields for -1 ≤ x ≤ 1 and -1 ≤…

A: We have to sketch the vector fields for -1≤x≤1  and  -1≤y≤1:…

Q: Use a vertical shift to graph the function. y=-6 cos 2x + 3 Use the graphing tool to graph the…

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Q: H 21. Iff: X→ Y and g: Y→ Z are functions and g of is one-to-one, must ƒ be one-to-one? Prove or…

A: Let, for x, y ∈ X, f(x) = f(y)  Then, g(f(x)) = g(f(y))          =&gt; g o f(x) = g o f(y)

Q: Evaluate the triple integral DI x²e dV where E is bounded by the parabolic cylinder z = 49 - y² and…

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Q: For the demand function q=D(x)=700/x​, find the following. ​a) The elasticity ​b) The elasticity at…

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Q: Let S be the lower half of the unit sphere x² + y² + z² = 1 and take n as the outer unit normal. Use…

A: Given That : Let S be the lower half of the unit sphere x2+y2+z2=1 and n be the outer unit normal .…

Q: If you make a deposit into a bank ccount, at what interest rate, compounded eekly, should you invest…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: List the intervals on which the function is increasing, the intervals on which is decreasing, and…

A: We have given a graph which is as follows : To Find : a) List an interval on which the function is…

Q: Calculate Tu, T₁, and n(u, v) for the parametrized surface at the given point. Then find the…

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Q: nine whethe each of the following sets of vectors, linearly independent linearly dependent. If it is…

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

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Q: 2. Examples. Justify your answers briefly. (a) Give an example of a nonconstant complex sequence…

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Q: Show that the following series are convergent and find their sums: 1 a) 1ײ×3 +2×3×4 + ... +…

A: (a).

Q: 3. Let g: ZxZ-Zx Z be given by the formula g(m,n) = (m+n,m + 2n) For example, Find a formula for the…

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Q: 7 7 49-x² LLL+ -7 1 49-x² (x² + y²)¹/2 dy dx dz =

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Q: 4 Let ƒ: R → R given by f(x) = 2 sin(x) − x² + 1. enames for text alFind an interval [a, b] for…

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Q: solve the differential equation : x y''(x) - (y'(x))^2 + (y(x)/x)^2 = 0

A: Here, we need to solve the following differential equations.            xy''(x)-y'(x)2+y(x)x2=0…

Q: Let (n) be a boul sequence of real (that is, each entry rn is ≥ 1/10), and (sn) be a sequence of…

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