first three terms of the sequence 1/16, a, b, 1/6 a cometric series and last three terms are in harmonic se find the value of a ond h

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A: Given:The particle moves along a straight line with velocity: vt=8t-4  m/s; 1≤t≤6.The positive value…

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Q: Prove the following: If f: A → B is a bijection, then f¯¹: B → A is also a bijection.

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Q: 3. Find the area of region enclosed by the Astroid (Graph in your calculator first to see how the…

A: The given problem is to find the area if region enclosed by the astroid graph with x=2cos3(t) and…

Q: 1 1 S₁) = 1 + = + = =++ (~EN). S(n) =1+-+-+...+ +... 2 3 + S +...+S(n-1)=(nS(n)-n) or (nS(n-1)-n+1)…

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Q: Are the following statements true or false? ? 1. K5 is planar 2. K2,3 is not planar 3. K4,5 is…

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Q: The general solution of the PDE is given by for any function f. 2u, + 3u, + 2u = 0 u(s, t) =…

A: Answer is 0 for justification step 2

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Q: There are (4n+ 1) terms in a certain sequence of which the first (2n+1) terms form an A.P. of common…

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Q: 1. Consider the power series 272 n=0 (x-1)". Find the interval of convergence; find the function…

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Q: Prove the following proposition: For all integers a and b, if 3 divides (a² + b²), then 3 divides a…

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Q: -0.625x + y y' = -x -0.625y X =

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Q: (1) Use a Comparison Test to determine convergence or divergence of the series. (a) (c) 8T8][8] n=0…

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Q: Find the area of the shaded region. 4 3 2 1 +++++ -1 -1 -2 1 y = x^0.5 + 1 TN 2 Upload Choose a File…

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Q: 11, 31. Find the flux of F = (x²y, xy, y²z³) across the cube bounded by the planes x = y = ±1, z =…

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Q: 3 2 Find the centroid of the region bounded by the curve y³ = x and the line y on the interval [- 1,…

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Q: • 2π 1²T 0 cos 2t 17 - 8 cost dt

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Q: = would converge. n=1 9" (x-6) n+6

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Q: 2. Let x = 3 cost, y = -3 sin t a. Eliminate the parameter and write an equation in rectangular…

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Q: Mdzy d+² = Му-кан Determine the position. y of the object at time + if Y it is dropped from a…

A: Md2ydx2=Mg-kdydty0=y0

Q: K Match each function to its domain from the list below. Some domains may be used more than once,…

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Q: H 4.) f(x)=x+3(1-x)% yos litrobl .nweb

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Q: 10 -5 0 -5 6. Let f(t) be the periodic function graphed below. Determine L{f(t)}. 5 10 15

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Q: 2. A spring with a 4-kg mass has natural length 1 m and is main- tained stretched to a length of 1.3…

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Q: Suppose p is an odd prime. Show that (1² +2 +3P +...+ (p − 1)²) = 0 (mod p).

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Q: 2.1.3 .5 -.1 .4 .8 2 3. .4 .4

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Q: Find a positive integer n such that is a square, 3 is a fifth power. is a cube, and i

A: Given: n2, n3, n5To find: A positive integer n such that n2, n3, n5 is a square, cube, and fifth…

Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

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Q: 3. ezy -x³y + 4 x 9. find the directional derivative of f at the point (1,0) along the direction of…

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Q: The tangent plane at a point Po (f (uo.Vo) 9 (4o.vo),h (uo.vo)) on a parametrized surface r(u,v) =…

A: Answer of the first question is given, plz repost the second question.   The equation of a circular…

Q: 1. Abigail spends her entire weekly allowance on either candy or toys. If she buys candy one week,…

A: As per the guidelines of Bartleby once max three subparts can be answered, please repost other…

Q: If the A.M. and G.M. between two numbers are in the ratio mn, then prove that the numbers are in the…

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Q: A partial order is diagrammed. The element a is related to b, which is related to both c and d. The…

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Q: Are the following statements true or false? ? ? ? V v V 1. If a graph has a vertex of degree 3, then…

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

Q: Use the Fixed-Point Iteration Method to find the solutions to the equation sin x - e-* = 0 in the…

A: The fixed point iteration method uses the formula: xn+1=g(xn) to approximate the root of the…

Q: Consider the following differential equation. Let M = y5y² sin(x) - My = Nx = (x-y5+ y² sin(x)) dx =…

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Q: A company's marginal cost function is C'(x) = = 9 √x Find the total cost of the first 64 units (from…

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Q: Find the work done by F = 5xy³i + 9x²y²j in moving a particle once counterclockwise around the curve…

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Q: G is a finite group, than o(G) = Σ- o(N(a)) here this sum is taken over one element of

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Q: Calculate the line integral F. dr, where F (3y, -3z, 2x + 2) and C' is the boundary of a triangle…

A: We will find line integral by using stokes theorem .

Q: What is the minimal degree Taylor polynomial about x = 0 that you need to calculate sin(1) to 3…

A: The red is wrong because it ask the minimum degree of the polynomial.

Q: •2πT 2 cos³ t + 3 cos² t dt

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Q: Show that the transformation 2 = ln x transforms the differential equation 2 x ²³y" + Axy' + By=0…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A: Given That : F=4x+exsinyi^+5x+excosyj^ C: Right-hand loop of the lemniscate r2=cos2θ  To Find :…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: Show that (n) ‡ 14 for all n ≥ 1.

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Q: Solve using method of undetermined coefficient. (D²+ 1) y = − 2x + cos 2x

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Q: - 27. Determine k so that lim (3e-kt — k) = 8118 I T 5

A: We have to find the value of k for which given limit is true.