Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. An 5 4' 16 = 2 Assume the first term is a₁ 11 14 64' 256 17 1024 ? -}

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Q4: Solve the given differential equation by finding y' only 6y" y² = = (3(y')² + 1)

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Q: V= 8 +1 Use At = 0.2 to estimate the distance that the bug crawls during this hour. Use left- and…

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Q: Given the geometric sequence: 26 3 ao 2, a₁ = a1 An = > a2 = find a formula for the n-th term: 338 9

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Q: eaking Lagrange (#differentiation, #computationaltools) Consider the prob- n of maximizing the…

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A: Let x=rcosθsinϕ, y=rsinθsinϕ, z=rcosϕ The restriction on r, θ, ϕ is 2≤r≤4,    0≤θ≤2π,…

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Q: 4. Consider waves in a resistant medium that satisfy the problem u₁t = c²uxx-ru, for 0 < x < 1 u= 0…

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Q: (2)(-_ A) f(x, y) = 2²-y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show…

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Q: Prove by contradiction that there are infinitely many non-negative integers.

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Q: 5. Construct a truth table to determine if the statement q^~ p is equivalent to ~p~90 1sdmun lan…

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Q: 3p + 151. Suppose the demand for a product is given by D(p) = A) Calculate the elasticity of demand…

A: Demand function: D(p)=-3p+151 Elasticity of demand is given by E(p)=-[pD'(p)]/D(p)

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Q: 21. Daylight in Fairbanks The viewing window below shows the number of hours of daylight in…

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Q: 1) p and q are two different prime numbers. How many divisors has a) pq; b) p²q; c) p²q²; d) pqm?

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Q: 15) Find a remainder after dividing 319⁹⁹ on 7.

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Q: show that another form of Euler-Lagrange equation is fy-fy¹x fytyy! - fyyry"

A: To prove that another form of the Euler-Lagrange equation is…

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Q: all, separated by commas.

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Q: (a) Construct a forward difference table for the above data. (b) (i) Use the table presented in (a),…

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Q: Determine whether the set {v1, v2} is a basis for R2.

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Q: Find the least-squares line for the given data (2,1),(3,2),(4,3),(5,2) Follow the solution format…

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Q: 8. Let A = {p, q, r, s, t, u, v}, and let R be the following equivalence relation on A: R = {(p, p),…

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Q: For two n × n matrices A and B, is it true that the eigenvalues of AB are the product of the…

A: For two n × n matrices A and B, is it true that the eigenvalues of AB are the product of the…

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Q: (1 point) Evaluate the line integral y dx + x dy where C is the parameterized path x 1 x = t², y =…

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Q: An arrow is shot from the ground into the air at an initial speed of v0=108ft/s. Usetheformula…

A: Given information ht =-16 t2 +v0 t Here, v0 =108  ft/s  and  t1 =4,   t2 =6. So, Function is ht =-16…

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Q: Use the Fourie expansion to explain why the note pro ne note produced by a violin string rises…

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Q: 19-22. Sketch the graph of a continuous function f on [0, 41 satisfying the given properties. 20.…

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Q: Evaluate the line integral [7xy² ds, where C is the right half of the circle x² + y² = 25.

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Q: AABC has vertices A(4.5), B(2.1). and C(7.3). Write the equation of the altitude drawn from vertex B…

A: The equation of the straight line passing through A,C is…