Use polynomial fitting to find the formula for the nth term of the sequence (an) n≥1 which starts, 1,33, 103, 223, 405, ... Note the first term above is ₁, an = not ao.

Q: an+1 or a sequence {a} satisfying →>> an Σ4" an A) n=1 converges. Σ4" an B) =1 ∞ Σ6" an C) n=1 Σ6"…

A: we will find the required.

Q: A rectangular storage container with an open top is to have a volume of 160m³. The length of its…

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Q: -2y time does y increase to 100 or drop to 1? Round your answer to four decimal places.

A: we will find the required.

Q: Let 6 sin x + 3 cos y = 4. dy dx C | d²y dx²

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Q: Find the volume of the solid E whose boundaries are given in rectangular coordinates. {(x, y, z)…

A: Given that z≥x2+y2z2≥x2+y2 and z≤49−x2−y2z2≤49−x2−y2x≥0,y≥0 Radius of cone and…

Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: Does the following power series converge for all real values of x? Σ n=1 xn nn No it does not…

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Q: 4.) fx²√5-x²dx

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Q: A company manufactures z units of one item and y units of another. The total cost in dollars, C, of…

A: Given, C=5x2+4xy+7y2+1000 ⋯⋯⋯⋯⋯⋯ 1 where, C is total cost in dollars. x units of one item. y units…

Q: Use matrix inversion to solve each collection of systems of linear equations. HINT [See Example 4.]…

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Q: Evaluate the integral. [²7X 71 7x√√x² + 9 dx

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Q: Evaluate the given expression. Simplify to lowest te (9-3^(2))/(4-2^(2))

A: The Answer is in step2.

Q: Producers' Surplus A certain manufacturer of Blu-ray players will make x thousand units available in…

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Q: (a) Differentiate the function below with respect to . 1 y (-72²+62+5)* Note: • In Text mode the…

A: Please see the below picture for detailed solution.

Q: A farmer has 800 meters of wire fence with which to build two identical rectangular pens that share…

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Q: Consider the graph of Ax + By = C where A, B, and C are positive constants and A B. If the value of…

A: Solution: Given data, Ax + By = C where A, B, C are positive constants Ax+ By = C → (i)   X-…

Q: 1. Explain why lim x-1 does not exist

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Q: - Evaluate the triple integral JJJ, 2x de. where W is the solid in the first octant bounded by the…

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Q: Water is being pumped into an inverted conical tank at a rate of 6.9 cubic meters per minute. The…

A: Water is being pumped into an inverted conical tank at a rate of 6.9 cubic meters per minute. The…

Q: a. So dx te 1 eª+e0.5x e²x

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Q: Use the chain rule to find and , where First the pieces: 器 Әх Əs ду Əs || dt - || || And putting it…

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Q: SKETCHPAD Question 7 What is the exact value of 2 tan(cse-¹(-/-))₂ PENCIL THIN BLACK

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Q: example г Find the centroid of the region bounded by the curves y = x ₁ x = 4 and the x-axis. (0,0)…

A: According to question,Given Curves,y =xx = 4andThe x-axis

Q: The first five terms of the sequence tn = 6(-1)n-1 are....

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Q: We recall that a point P on a curve y = g(x) is called an inflection point if g continuous there and…

A: The given function is: gx=160+8x3+x4  Find the inflection point.

Q: Find a point c satisfying the conclusion of the MVT for the following function and interval: f(x) =…

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Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

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Q: The annual profit P (in dollars) of nursing homes in a region is given by the function P(w, r, s, t)…

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Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

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Q: dy d x X Y y(0) 1 = -3

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Q: dx 2.) √ 8²x+1 €2x+1

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Q: Integral using Evaluate the integral of even and odd functions the 2 S.x² -2 x² (x² +₁) dx…

A: Given query is to find the value of the integral.

Q: f+lc 2. A conical oil tank with vertex down has a radius of 24 feet at the top and is 36 feet high.…

A: Given: The radius of the oil tank =24 feet.Height of the oil tank=18 feet3.

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The sequence have alternate negative and positive terms. This is possible only when we introduce…

Q: - Find f(a), f(a + h), and the difference quotient f(a+h) – f(a), where h ± 0. h f(x) = 5x X-9

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Q: Find the cross product of the unit vectors. jxi -k X Sketch your result. k t -k O k 't

A: Given that , j×i find the cross product.

Q: Find the length of the curve Arc length = x = 1 √y(y - 3), 1≤ y ≤9.

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Q: The graph of the derivative f' of a function f is shown. YA y = f'(x) LÄ 2 X = (a) On what intervals…

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Q: Give the function f(x) = ₁ Evaluate the one-side

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Q: If f(x) (1)? = 2 x² + 3x x+1 " then what is

A: Given: f(x)=x2+3xx+1

Q: f(x) = X x² +1

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Q: Find an equation of the tangent line to the graph of h(x)=3x-e7-14 at the point (2,6).

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Q: S 1 x-6x+8 - dx = x-4 (A) In 2 x-2 (B) +C X 1211x2² +0 In +C x-4 (C)=12m|(x-2)(x−4)|+C (D)…

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Q: If lim a = 0, then which of the following holds? 11-00 A) The series B) The series Σ(-1)" a"…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: For a sequence {a} satisfying п в U A U C F 4" an A) n=1 ∞ ΣΑ" an B) =1 O Σ6" an n=1 6⁰ an D) n=1…

A: Given that , an+1an→15

Q: 1: Evaluate the following integrals: 1. fff e ²x+3y + 4z dv 0≤x≤ ln2 2. √ √ √ √1+y³dydx 0 ≤ y ≤ In3…

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Q: as the area of the spill changing in m²/min between the time the spill was noticed and the response…

A: we will find the required.

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

A: The given parametric equation is: x=6cos3θy=6sin3θ  Use a graphing utility to graph the curve…

Q: 2. Consider the graph of the function f(x) = 5x² - 8x. Calculate the slope of the secant that joins…

A: We have to find slope of secant line made by joining given x- values.