Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) n ²₁ = ( ²7 ) ₁²₁ + 7 an +7

Q: = (2x²-3x+1 2x-1 ,x 0.5 Determine constants A and B such that is continu values of x. Show your…

A: Topic:- application of calculus

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A: Solve

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A: f(t) = 8 sin23t.

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Q: Find r(t) u(t). r(t) = (3-7)i + +³1+ j+ 4k u(t) = t²i - 8j + t³k r(t) u(t)= Is the result a…

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Q: 5- The table below shows the speed-time change of an athlete in a 20-minute running period. The…

A: Given, I=∫020v.dt The Simpson Method and the Trapezoidal Rule are used to complete the integration.…

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A: Our Aim is to evaluate the given indefinite integral using U-Substitution.∫sin (2x)2+cos (x)dx-(i)

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Q: Find the general solution of the given differential equation. dy 2 +6y=3 dx x(x) = 2 Give the…

A: To find the general solution of the given differential equation.2dydx+6y=3To give the largest…

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Q: Find curl (62 i + 7x j + Sy k). curl (62 i +7x j + 5y k) = (i k )i + (i )j + (

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Q: If sec(x) 28 9 Give exact answers. sin(2x) = cos(2x) = tan(2x): = (in Quadrant 1), find Submit…

A: Given the query is to find the value of indicated angles.

Q: Hello! Need help solving this with steps. Thank you

A: Given function, f(x,y)=3-9x2-4y2Differentiate w.r.t.'x'∂f∂x=-18x∂f∂y=-8yLet ∂f∂x=0 and…

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A: The given differential equation is; y''+y'-42y=0, y(0)=alpha, y'(0)=14.

Q: 1 1 0.104 = x Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) =…

A: Solution : Given that

Q: Find the Wronskian of the functions f(t) = 6et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

A: It is given that the Wronskian of the functions ft=6etsint and gt=etcost.   The Wronskian is given…

Q: ← Screenshot (1913).png + New 0 My Drive Computers Shared with me Recent Starred Trash Storage 7.8…

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Q: 2x+5x7 x3 1²2 dx

A: To evaluate the given integral.

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Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.50 N of…

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Q: Give the Particular Solution of the following Differential Equation d² y dy +2 -8y = 0 dx² dx IBC:…

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Q: Newton's law of cooling states that the rate of cooling of an object is proportional to the…

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: 6. Find (0) for a solution (x) to the initial value problem (secx)dy = 2√y+Idx; (n) = 3 2 3

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Q: Find the divergence of the vector field of F(x,y,z) = sinxi + cosy j + z² k. cos x + sin y + 2z O…

A: Option C is correct. To finde divergence I used divergence formula.

Q: 11. DETAILS ZILLDIFFEQMODAP11 7.2.043. Use the Laplace transform to solve the given initial-value…

A: laplace transform

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A: Solve the following

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Q: Evaluate the definite integral. [²³ sin5(x) dx Step 1 6.² sin5(x) dx, first rewrite the integral. To…

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Q: 3. 2-y x-2y

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Q: Question Use an appropriate linear approximation to estimate √48.95. (Round your answer to three…

A: Given data÷ Use linear approximation to estimate 48.95 Since 49=7 is easy to compute and 49 is close…

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A: According to given, Inoperative units= 1% Therefore, Operative units= 100-1 =99% =0.99

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Q: Find the following for the given equation. r(t) = (e-¹, 3t², 6 tan(t)) (a) r(t) = (b) r(t): (c) Find…

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Q: Answer true or false. If f is not piecewise continuous on [0, ∞>), then L{f(t)} will not exist. O…

A: Topic:- application of integration    Definition :- A piecewise function is a function defined by…

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: We have to find the interval on which the vector-valued function  rt = 13t+1i + 1tj  is continuous.

Q: f(x)=0 for x EQ and f(x)=x otherwise. We can conclude f is not integrable on [-1,1] sim

A: In this question we will use basic concepts of calculus i.e concepts of integration and continuity.…

Q: solving

A: Please refer to the image below