Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

Q: Consider the following sequence: {an} = an+1 Use the ratio an - to show that the given sequence {a, ...

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Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

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Q: f(x) =(x^2/3 − 1)^2 Take note that the 2/3 is the exponent if x (a.) the critical numbers of f (b....

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, C = 2 Pa(x) =

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Q: The graph shown is f (x) = sin x. If g (x) = / f (t)dt, find g' (7). %3D AY 6.28 -3.14 3.14 6/28 -2 ...

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Q: A company that manufactures small canoes has a fixed cost of $20,000. It costs $100 to produce each ...

A: Follow the procedure given below.

Q: Solve the following, glving the solutlons In the form ptqvr 6x +15 Rationalise the demoninator of th...

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Q: x²+ Consider dx. Using u-substitution and transformation of integrand, then the power formula (x*+ 8...

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Q: Determine whether the alternating series coniverges. 5ln k k k=3 O The series diverges. O The series...

A: Here, the given series is: ∑k=3∞(-1)k5 ln kk which is the alternating series with bk=5 ln kk; k≥3

Q: 3. Use Squeeze Theorem to evaluate lim 1-0+ sin(In r) In(sin æ)"

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Q: Is the series divergent or convergent? Show solution and explanation. +oo In n E(-1)": n2 n=2

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Q: -1-0. 1) Write f(x). 3) Find D & R 4) Sketch f(-3t+3) 5)Find D & R for the function of point 4 2)Fin...

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Q: Graph the two equations x+y= 0, and y = - (x-1) and find the points in which the graphs intersect

A: 1. Given x+y=0y=-xtf x=0,y=0if x=1 ,y=-1if x=2,y=-2Graph passing through origin .2. y=-x-12if x=0,y=...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) = %3!

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Q: Given: / 5x2 tan(3x³) dx. Ifu=3x°, then the resulting integral is Jf(u) A B none of the choices 5 18...

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Q: The graph shown is f(x) = sin x. What is the integral that defines the area under this line between ...

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Q: following: (a) y = \f(x)| (b) y = f (x) (c) y = JF(x). f(x) y = 2 3

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Q: (*y3 - ) + y² = 0 1 1+9r

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Q: (a) With the use of a suitable limit, find the first differential of Vr² +b² with respect to r i.e. ...

A: topic - derivative using first principle

Q: Use any method to determine whether the series converges or diverges. 00 (6k)! k=0 O The series conv...

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Q: topic: calculus of polar curves 1. Find the slope of the curve r = 2cos 4Ɵ 2. Find the slope of th...

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (2), Q(5, 6)...

A: Distance between the points P(x1,y1) and Q(x2,y2) , D = (x2-x1)2+(y2-y1)2 .

Q: 6 du dx. Transforming the integrand, the result will be k , where k is a constant. What is u and k? ...

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Q: Find the products AB and BA to determine whether B is the multiplicative inverse of A. -32 4-1 A = B...

A: A=-32-44  ,  B=4-11-1AB=-32-44 ×4-11 -1AB=-12+2     3-2-16+4     4-4AB=[-10  1-120]

Q: 3 In?x + 1 Evaluate x (In³x + In x) 3. A 3 In |in3x + In x| + C B B In in3x + In x| + C -In lin?x + ...

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Q: Use sigma notation to write the Taylor series about z = 1, for the function. 3 In z; z9 = 1 k =

A: The given function is 3ln(x);x0=1.

Q: x' - 36 lim 6 x+6 Vx+11-4 lim x-5 lim- 2 2-x x² +6x+9

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Q: The differential equation x*(x – 2)²y" + 3(x – 2)y' + y = 0, as the singular points at x = 0 and x =...

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Q: an+1 to determine if the sequence {ne" } is strictly increasing or strictly decreasing. an Use the r...

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Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In l(2x...

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Q: Show that for all positive integers n, 13 + 2° + ...+ n³ = (1+2+3+ ...+ n)?

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Q: Direction: Provide what is asked in each item. 1. For what value of a does the limit of the piecewis...

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost ...

Q: Use sigma notation to write the Taylor series about z =1, for the function. 3Inr; 10 = 1 Σ

A: Explanation of the answer is as follows

Q: Is the series convergent or divergent? Explain in minimum of two sentences. +00 n2 – 1 n2 +1 Un n=1 ...

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Q: Question 2 12x +1 dxp. (2x- 1)2 (3x + 2)² Evaluate:

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 Σ f(x) n = ...

A: Explanation of the answer is as follows

Q: 4. In selecting a price for a product using differential analysis, which of the following de should ...

A: ANSWER: B. The price that will result in the greatest total contribution margin, assuming fixes are ...

Q: sing u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = , evaluate ...

A: Topic:- application of integration

Q: State whether the following series is Convergent or Divergent. (-1)" Vn +1 n=1

A: Absolutely convergent :If the the mod of the alternating series ∑n=1∞(-1)nan i.e., ∑n=1∞|(-1)nan | =...

Q: Find the radius of convergence and the interval of convergence. Σ k(k+ 1) k=1 1) First apply the Rat...

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Q: Prove that the sum of the first n natural numbers is given by this formula: n(n + 1) 1+2 +3 +. .. +n...

A: As per our guidelines, we are supposed to answer only one question. Kindly repost other questions as...

Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3Vx - 2x A) u = ...

A: The given integral is 5/[3√x -2x].

Q: Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у — 3...

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Q: Followings are given for f(x) function and its derivative f' (x) Sf(0) =1 f' (0) =5 |F(2)=3 f' (2) =...

A: The given problem is solved below in detail.

Q: X+ tan (xy)=0

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Q: Differentiate the functions. 3 a) f(x) = 1– 5x + b) f(x) = (x³ + 4)² %3D

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Q: Consider -dx. Using u-substitution and transformation of integrand, then the power formula applies; ...

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Q: A consumer has utility function xy u(x, y) = x+y

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Q: nd the value of o(1999), p(101), p(243), 9(1998).

A: Phi function

Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

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