A sequence is defined recursively by the given formulas. Find the first five terms of the sequence. an-1 and a1 = -12 3 a₁ = a2 = a3 = a4= an =

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A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

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Q: Suppose that f(x) = 2x4 + 9x2. Evaluate each of the following: f'(1) = f'(-3) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: Use L'Hospital's Rule to find the limit. Also, state why we can use this rule. lim(42x)³ln (4 - 2x)…

A: Given;  Limx-2(4-2x) 3 ln(4-2x).

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A: The objective of the question is determine the general circle equation ,centre and radius.

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A: The given series is 1/n5/4, n from 1 to infinity.

Q: Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1,…

A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for…

Q: here are two regions bounded by the line y=x and the curve y=x^3, one in the first quadrant and…

A: Given problem:- There are two regions bounded by the line y=x and the curve y=x^3, one in the first…

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Q: Consider the marginal cost function C'(x) = 400+ 12x -0.01x². a. Find the additional cost incurred…

A: Given  C'x=400+12x-0.01x2

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A: Given: . The perimeter of the given triangle is 24 feet.  Suppose the ink of your pen can print a…

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Q: Find the radius and interval of convergence of the power series (−1)″ (x+2)" √n.3n n=1

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Q: The base of a three-dimensional figure is bound by the graph x = y3 on the interval [1, 2]. Vertical…

A: answer is in next step.

Q: 1. You are given a vector function A = Îx, (a) Sketch this vector function in the x-y coordinate…

A: Calculus

Q: Use the Comparison Test to determine whether the series converges. Σ k = 1 1 5k5 +6

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Q: 5″ Use the limit comparison test to determine whether the series converges or diverges.

A: We have to check  the seris convergence or divergence

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A: The objective is to find the standard form of the ellipse.

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A: We need to find volume.

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Q: Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then…

A: The objective of the question is evaluate the indefinite integral.

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Q: Solve: -95A + 20B = 40 -20A- 95B = -190

A: given that  solve, -95A+20B=40 -20A-95B=-190

Q: Q5. (a) (i) (b) (c) (ii) Express sin 2x Express cos 2x Show that in terms of in terms of sin x Solve…

A: Given problem:- (a) (i) Express  sin 2x in terms of sin x and cos X.(ii)  Express cos 2x in terms of…

Q: -4 Challenge #1 y = 2x 0 Adjust the equation so the exponential function passes through the points.

A: topic- exponential function

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Q: Sketch the region of integration and evaluate the following integral. !!! dA, R=((,0): 0 sr≤3,x=0=2}…

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Q: 6. If y is a differentiable function of r and 24 + 2y5³ 5y2, then find - dy da

A: The given equation is x4+2y5x3=5y2

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Q: Question 6: Find the standard form of the equation of the ellipse satisfying the given conditions.…

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Q: Write the logarithm as a sum or difference of logarithms. Simplify e In 7 2 y + 3 4 e

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Q: Evaluate the following limit using L'Hospital's rule. lim (e5z - 2.x) (+) I+0+

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Q: Verify the Divergence Theorem by evaluating F.NO N ds as a surface integral and as a triple…

A: To verify the divergence theorem. And to evaluate the surface integral.

Q: 5 Solve tano = 28n0

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Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = y(0) = -1

A: Here we have to solve the differential equation.

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