4n – 9 5n + 4 S - Given that sequence {an} = { (а) Show that the sequence is monotonically increasing. 4 (b) Hence, prove the sequence tends to the limit 5 .

Q: The equation y²(y²-4) = x2(x²-5) is known as the devil's curve. Give an equation for the tangent…

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Q: An approximate

A: answer is in next step

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Q: 16. بين ما اذا كانت تقع النقطة N على المستقيم AB ام خارجه N=( 2,1.5,3 ), B ( 0,1,2), A ( 4,2,4)…

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A: If two vectors are perpendicular to each other, then their dot product is equal to zero.

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Q: 5. [4 log x + 1] dx

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Q: 1. 4 20. The graph of a piecewise-linear function f. for -1<xS4. is shown above. What is the value…

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Q: Given two vectors u and v that form an angle of 60° (when joined tail to tail) and given that | V| =…

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Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: Find the equation of a parabola that has focus at (-4,0) and directrix 2

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Q: х+2 dx х — 1 1. Find the integral а. х + In(x — 1)3 + с b.x + In(x - 1)? + с с.х + In(x — 1)4 + с…

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Q: 2. Which of the following is not an ordered field? Q=(all rationals) R=(all reals) S=(all…

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Q: Let C(x)= x2+4x+1 dollars be the cost function, where the x represents the quantity. The estimate…

A: Cost

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A: The vector r=&lt;a,b&gt; is written as, r(i)=ai+ bj

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: Use the transformation x = 2u + v and y=u+2v to evaluate where R is the triangular region with…

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Q: question uppose f is continuous on [6,9] and differentiable on (6, 9). If 9 < f'(x) < 14 for all…

A: Given the query is to find the range of f(9)-f(6).

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Q: Graph the function and find its average value over the given interval. f(x) = x + 2 on [0,2]

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Q: Find an equation of the tangent line to the graph of the function at the given point. Function Point…

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Q: 4. If ) dx=a+ 2b, then Sw+5)&r= (A) a+2b+5 (B) 5b-5a (C) 76-4а (D) 7b-5a (E) 7b-6a

A: A detailed solution is given below

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Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

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Q: III. Find the area of the regions bounded by the curves. Draw a figure showing the region. 8. y =x;…

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Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

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Q: 4. If the marginal cost for a product is MC = 2x +9 and the production of 10 units results in a…

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Q: Solve for the following system of differential equations. dx x + 3y, dt dy = 7x + 4y dt

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Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: To rewrite the integral ∫010∫031-z10∫071-y3-z10 dx dy dz in the order dz dy dx

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A: Given

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Q: Find all the derivatives of f, given f(x) = x3 - 5x' + 4x6 – Tx* + 3x3 + 11.

A: This is a basic derivative problem

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A: Given region is bounded by y=21-2x and y=20

Q: 9) Determine whether the series is absolutely convergent, conditionally (-1)"n convergent or…

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