¹00 = The nth partial sum of the series - 1 an is given by Sn = Find the 7th term using the sum. Remember: a7 = S7 - S6 Show your work in the space provided. n+1 n+2

Q: Given the logical expression : [¬r^(¬r →q)]^[r→ (p^r)]

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Q: Let z =e^2x Tany find ((d^2 z)/(dxdy)) and ((d^2 z)/(dydx))

A: Given z = e2xtany

Q: Given that A= -2 y 0 1 4]. 8-133³5₁), and C= B = [ x -5 matrix 2C - BT+A, if defined. 2 5 7 -6 Z -4…

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Q: 8. min 3x1 + 4x2 + 6x3 +7x4+x5 2x1x2 + x3 + 6x4 5x5 6 x1 + x2 + 2x3 + x4 + 2x5 2 3 1, 2, 3, 4, 5 2 0…

A: given system min  3x1+4x2+6x3+7x4+x5         2x1-x2+x3+6x4-5x5≥6         x1+x2+2x3+x4+2x5≥3…

Q: Compute the cyclic subgroup of Z generated by -1.

A: To compute the cyclic subgroup of ℤgenerated by -1.

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Q: A university math department offers courses in College Algebra, Finite Mathematics, and Applied…

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Q: answer

A: Simple intrest 263.72

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A: Given :  The series  ∑n=1∞anx-αn = ∑n=1∞x-10nnn To find : (a) The radius of convergence R.…

Q: Find the equation of the tangent line to the common curve of the two surfaces with equations z = x²…

A: Please check step 2 for solution.

Q: 3. Let A={n €Z, 2Z). Prove or disprove: For every n E A we have n² = 4.

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Q: Which of the following initial value problems are guaranteed to have a unique solution by the…

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Q: a) An engineering problem is modelled by the formulae below. If the distance travelled by some…

A: Given integration is I=∫0πsin(x)dx Here f(x)=sinx Number of subinterval is n=10 Then step size is…

Q: Given

A: We solve by Gaussian Elimination method.

Q: Obtain the term of the power series of sin(x + 1) where n = 3 for a value of x = 3.20.

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Q: E. Approximate the following up to 4 decimal places using Taylor series $ b. cos (-13°) about x = π…

A: Solution a: Given 353 Let x=35 Then f(x)=x3 By Taylor's series method…

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Q: DISCRETE MATHS (GRAPH THEORY) Based on the images attached, consider the following graphs. Identify…

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Q: Consider a rectangular pulse [1,0 < t < 1

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Q: Use the Jacobi iteration method to obtain the solution of the following equations: 6x₁-2 x₂ + x3 =…

A: We know that the Gauss Jacobi method is an iterative technique to find the solution of the system of…

Q: 9. Solve u +u =0 for 0≤x≤1, 0≤ y ≤1, given u(x,0)=0, u, (x,1)=0, u(0, y) = 0, XX yy u(1, y) = 1.

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Q: For what values of z does the series n²(¹3)" =1 converge? Find the sum.

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Q: (9. Solve u, +u,, = 0_for0<x<1,0<y<1, given u(x,0) = 0, u (x,1) = 0, u(0,3) = 0, u(l,y) =1. 9. u(x,…

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Q: Find the radius of convergence, R, of the series. (x - 10)" n R = 10 ∞ n = 1 I = Find the interval,…

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Q: Since it's an if and only if proof, don't you have to prove "if linearly dependent, then scalar…

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Q: Q03. be a basis of V. Let V be an n-dimensional vector space over F, with n ≥ 1. Let B = {v₁,...,…

A: Given : V be an n-dimensional vector space over F, with n≥1 and B = v1, v2, ..., vn be a basis of V.…

Q: 9. If (X, M, u) is a measure space and E, FEM, then u(E)+μ(F) = μ(EUF)+ μ(EnF).

A: Introduction: A measurable function is a function between the underlying sets of two measurable…

Q: Write Mindanao is not part of the philippines in logical form then write the truth value

A: To find- Write Mindanao is not part of the Philippines in logical form then write the truth value.

Q: For 8 years, $33 is deposited each week into an account that earns 2.1% interest, compounded weekly…

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Q: You want to buy a car that costs $15,000.  You pay $4000 in cash and then borrow the rest at 2.9%…

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Q: Find the unknown lengths for the similar triangles below. 6.5 m 8 || y = 11 m 14 m 15.6 m y X m (If…

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Q: 1. How do you calculate coordinates on circular or second transition curves? 2. How do you know…

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Q: 8. Compute the following. (a) (17 mod 6) (b) (256 mod 31) (c) (-2245 mod 7)

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Q: c) Use Taylor series expansion of f(x) = In(1 + cos x) given by 1 f(x) = In 2-x²- *** 1440 to…

A: c Given that the Taylor series expansion of the function fx=ln1+cosx is given by…

Q: 2. Tennis balls have a diameter of 6.5 cm and are packaged in a cylinder that can hold four tennis…

A: Note: As a matter of policy, we solve only 3 sub-parts. Please resubmit those parts, in case that…

Q: Solve the following system using GS iteration method use x0 = (0000) 10x₁ - x₂ + 5x3 = 6 -x₁ + 11x₂…

A: We know that the Gauss Seidel method is a technique used to solve the system of linear equations by…

Q: Find the critical numbers of the function f(x) = 12x5 - 75x4 - 100x³ - 5 and classify them. At x =…

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Q: Given P(A) = 0.3 and P(B/A) = 0.2. Then P(An B) =

A: Option(1) is true.

Q: 1. n~m in Z if n-m+nm ≥ 0.

A: As per our guidelines we are supposed to answer only one question. Here question 1) answered.

Q: 10. f sin x dx 25+cos²x

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Q: A newspaper headline claims: "Apple spends far less on Research & Development than any of its…

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Q: Determine whether the two planes x-y + 2z = 1 -x-y +z = 3 are parallel or intersecting. Find their…

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Q: Q4: Show that: Hint: use the following: je sin aw aw ² do: T a Flu(t + a)-u(ta)] = 2a sinaw/aw

A: To show that                   ∫-∞∞sinaωaωdω=πa

Q: Find the value of the following series 1 a. Ση=3η2_2n

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

Q: Theorem: If P is the transition matrix from a basis B' to a basis B, then P is invertible and the…

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Q: What is the angle at the point at which a space diagonal and a side of a cube intersects? a. 35⁰ b.…

A: Here a space diagonal and a side of a cube intersects.

Q: Find all the critical points and the absolute extrema(absolute maximum and absolute minimum values)…

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