an= (-5)n an an = COS 4n+n3 3n+4" os(T) 8

Q: Sum the following series: (a) cosa += cos(a +B) + COS (b) cos(na + B)+cos((n-1)a +2 2 (c) ·cos(α +…

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Q: 5. Let f(x) = 5x4 - -2+8√√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the…

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Q: Show that the equation dy_c² Ə²yXX 2 d +2k Ər² Ət əx² oro nobene possesses solutions of the form 00…

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Q: Calculate 2 -3] -1 2022

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Q: We are making 5-letter words from the set of letters a, b, c, d, e, f..., in such a way that we have…

A: Here we will use permutation /arrangement and combination / selection  Number of way r object can be…

Q: 7. Given f(x) = 6x²+2x-5 and g(x) = 6x²+3x+1. Evaluate (f-g) x.

A: Here given that                           f(x)=6x2+2x-5                 and   g(x)=6x2+3x+1 We have…

Q: Question 3: The function f(x)= max x, searches for the maximum value between a number. Prove…

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Q: The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a…

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Q: Convert point (-8,8,-7) from Cartesian coordinates to cylindrical coordinates. Hint: r² = x² + y²…

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Q: A regular die has six faces, numbered 1 to 6. Roll the die six times consecutively, and record the…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: 2. Multiplier effects In this problem, suppose that consumption in the short-run model is given by:…

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Q: 2. g(t)= t², -8 + 3t, ((t-6)² + 2 cos (²-²). 0 2

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Q: Consider numbers of the form a = a₁a2a3 . . . an, with n digits, each digit from the set {1, 2, 3,…

A: For n = 15 We have to find  a. How many such numbers are there. b. How many such numbers are there…

Q: Can the graph G be orientable? G:

A: Yes the graph is orientable.

Q: If A, B, C are sets, show that a) A x B= 0 ⇒ A=0 or B = 0. b) (AUB) x C = (AXC) U (BxX C). c) (An B)…

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Q: b, be complex numbers and N a positive natural number such N¬I i2knx N = απ Τ n = 0 to N - 1 k=0

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Q: problem: Using the Laplace transform, solve the following initial value y" + 4y + 3y = e, y(0) = 1,…

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Q: Given P(A^c-complement)=0.40, P(B) =0.40, P(AUB)=0.75, P(A)= 0.60, P(B^c)=0.75 Find P((AnB)^c)

A: Additional Law of Probability gives P( A ∪ B ) =P(A) + P(B) - P(A∩B)

Q: A is an n x n matrix. Check the true statements below: A. A matrix A is not invertible if and only…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find (2) and (7) at the point (w, x, y, z) = (48,1, -2,-2) if w=3x²y² + 3yz - 3z³ and x² + y² + z² =…

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Q: Let Use these values to evaluate the given definite integrals. S² (f(x) + g(x)) dx = (f(x) = g(x))…

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Q: The matrix. has an eigenvalue of multiplicity 2 with corresponding eigenvector . Find and . λ = has…

A: Solution

Q: x Which of the following statements is/are true about the graph of R(x) = x² 4 - A. As the value of…

A: Introduction: For a rational function, vertical asymptote is quite natural. The points where the…

Q: /Solve the following Assignment problem using the Hungarian method.. 12 3 4 5 J1 83 7 6 2 J2 51 514…

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Q: i) Consider the 2 x 2 matrix A = (ª a11 12 922 0 M(a‚ß) = (3-³). 262 Problems and Solutions Find…

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Q: A smooth vector-valued function R(t) satisfies Ŕ(1) = (–3,7,9), Ř'(1) = (0,5,6) and R″(1) = (4, 1,…

A: Given that: R1=−3,7,9 R'1=0,5,6 R''1=4,1,−2

Q: Problem 9. Consider a triangle and its inscribed circle. Join each vertex with the point of tangency…

A: Given: AB=c, AC=b,BC=a

Q: Use Laplace transform to solve the partial differential equation: o'y dy = +xt where y(x,0) = 0,…

A: Solution

Q: (31) Use Newton's Method to make the second approximation x2 to the solution of 2e* = ex. Take ₁ =…

A: Solution :-

Q: 1. If f(x) = 5x4 - 6x² + 4x2 find f'(x) and f'(2).

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Q: Consider the differential equation: 1+ y² xy+y³+y dz This differential equation is not linear in y,…

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Q: so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal.

A: Solution :-

Q: Check the operation Division over Numbers. Associativity of binady Subtraction and the of Complex…

A: We have to check the associativity of binary operation that is subtraction and Division over the set…

Q: The Grinch sneaks into a room with 11 Christmas presents to 11 different people. He proceeds to…

A: consider the given question: Find the number of ways if no present is allowed to end up with its…

Q: The matrix is defined as A=(²₁ 2¹) has characteristic equation of 2² + DA + 3, so the value of D is.…

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Q: Let V, W be two matrices of the same order. If all entries of V are nonzero, then we say that X is…

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Q: Use Fourier transform to solve the partial differential equation: ди d²u ax² du(0,1) -10u: x>0,t> 0…

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Q: Find symmetric and parametric equations of the line through the two points (−3, 5, 2) and (1, −3,…

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Q: Based on known series, give the first four nonzero terms of the Maclaurin series for this function.…

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Q: Describe the surface with cylindrical equation r=6. Hint The 8 and 2 components of points on the…

A: We have to find the surface whose cylindrical equation is given by: r = 6.

Q: Construct a right-angled triangle, given the hypotenuse and the difference between the base angles.…

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Q: 41) Fs [ f ² (x)} = √ √ ²/ Pf (o) - P² Fs { f (x)] proof: H.W.

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Q: Find the Laplace transform of 1. f(t) = [1u₂n(t)](2 sint - sin 2t) 2

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Q: (.) I ху ff. f(x y). d) xerc find fr, fo التاريخ

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Q: Supppose A is an invertible x n matrix and is an eigenvector of A with associated eigenvalue-2.…

A: Here we use the properties of eigenvalues of matrix to answer the appropriate question as below.

Q: ) Find the closures of the following sets:     Q, the set of rational numbers   2) Show that the…

A: Solution

Q: Write a note on Fourier Analysis for Composite Signals?!

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Q: In a recent small survey of airline passengers, 27 said they had flown American in the last year, 23…

A: We will use  Addition theorem for  3 set

Q: What is multicollinearity? Why is multicollinearity problematic?

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Q: Find the total area of the region satisfying the E

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