A series is the sum of the terms of a sequence. To indicate the sum, we use sigma E notation. Write the following infinite sum in E notation: 1+3+9+27 + 81 + .. What is the formula for the sum of an infinite geometric series? Under what conditions is this sum finite?

Q: Find (f1) (3) if f(x) = x³ + x + 1. 3 (f-1) (3) = (Simplify your answer.)

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A: we need to simplify 1x-1+x+3x-3+1x+4

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A: This question can be solved by the help of bisection method.

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A: Given query is to find the formula for polynomial p(x).

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A: Question III,Given,            sec3xy2=coshxtanhx+y+2csc-1tany+1To find : Find dydx using the implic...

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Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

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Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. (b) Fi...

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A: Given query is to find the volume of solid generated.

Q: Find the area of the region bounded above by y = x + 1 and below by y = x3 + 1. AY 2.5 1.5- 0.5 0,5 ...

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Q: Find the critical numbers of the functions below: f(x) = x^4/5 (x − 4)^2

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A: This question is based on function continuity and differentiability.

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Q: Find the particular solution if dy/dt=sin(t) and y(2)=2.

A: Topic:- application of integration

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Q: (x+ 7)" n En=2 2" 3/ 2 1

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Q: Now, please follow the example and complete: sin () = a) 157 b) cos 137 c) tan 3

A: According to our guidelines we can answer only three subparts.Part a,            sin11π6

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A: This question can be solved using the concept of area between two curves.

Q: For items 8 & 9, express the complex number in rectangularform. 8. 4 cis - A. 1+ iv7 B. 2+i 2V3 C. 2...

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Q: is

A: Please refer to the image below

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Q: anx" + + a1x + ao An 4. If f(x) = bn with an #0 and b, #0, show that lim f(x)% = ... %3D .. + b1x + ...

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing...

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Q: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

A: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

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Q: Given the following System of Differential Equations and its Eigenvalues and Eigenvectors 4 12 4 and...

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A: Given query is to find the coordinates of the point.

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Q: 93x88

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

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Q: Determine where the function is (a) increasing: (b) decreasing, and (c) detormine where relative ext...

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Q: S tan36x sec106x dx

A: I=∫tan36xsec106xdx=∫tan26xtan6xsec106xdx=∫sec26x-1tan6xsec106xdxLet sec6x=u       6tan6xsec6xdx=duI=...

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A: Implicit differentiation

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Q: Solve the recurrence: an= 2an-1+ 4n-1, ao=1

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