6. Let a be a real number.

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A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

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A: topic - limits

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A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...

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Q: For the given p-series, identify p and determine whether the series converges. k=1 5/4 . Therefore t...

A: ∑k=1∞k-54 

Q: Q2) Find : (a) lim (2 + x) x-4+ 16-x 1-secx 0 sinx cos2x sintx (b) lim (c) lim (d) lim x-0 sin2x cos...

A: Dear student, According to bartleby guidelines when student post more than one question then expert ...

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A: We have to check weather the given Integral is converges or diverges.

Q: Simplify the expression without using a calculator. log0.00001 =

A: This question is based on properties of logarithm.

Q: (b) ) п? + 2n n=1

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Q: 14. A 5 m pole, leaning against a wall slips in such a way that its base is va moving away from the ...

A: According to the given problem, the representative diagram is as shown below; Let, the height of th...

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A: We will use Pythagoras theorem .

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Q: 3. Find the constant a so that o(x) = re2 is a solution to y+ay- e =0. 0 4 O 3 0 1

A: ϕ(x)=xe2x is a solution to y'+ay-e2x=0

Q: The concentration of a certain drug in the bloodstream x hr after being administered is approximatel...

A: Find your answer below 

Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

A:

Q: Exercise 5. (From Ira Rosenholz in the Problems Section of the Mathematics Magazine, Vol. 60 NO. 1, ...

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Q: 1. Create a Table of Values to find the limit of each function. (Use at least 3 distinct values of x...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: I did all steps just need help figuring out “The ball’s velocity at the above time is”

A: Please see the below picture for detailed solution. 

Q: A one-to-one function is given. Write an equation for the inverse function. X-4 v (x) = x+5 (x) = D

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Q: (-1)"3nx" n² – 5 V. Determine the interval of convergence of > n=1

A: This is a problem of series calculation. By using concepts of series we will determine interval of c...

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Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

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Q: 238 The isotope of plutonium 40° Pu is used to make thermoelectric power sources for spacecraft. Sup...

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Q: I. Use the limit of the rates as Ax approaches zero. Ax 2х-3 4. y = ; Зx+4 引

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Q: Fundamental Theorem of Calculus 1. Consider f(x) = 3|x|, which is in R[-2, 2]. a. Find a continuous ...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find if this series is convergent or divergent and provide detailed solution.

A: This question is related to infinite series, we will solve it using given information. 

Q: 3 Prove that if chords of congruent circles substend equal angles at their centres then the chords a...

A: Congruence

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A: Find your answer below 

Q: Solve for E. log E- 12.2 = 1.44 M (used in geology) E E =D e

A: Topic = Algebra

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: 2x² +3 dx x(x – x(х — 1)2

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Q: Consider the function f(z) = 8/I + 5 on the interval [1, 8]. Find the average or mean slope of the %...

A: f(x)=8x+5  Interval : [1,8] Mean slope,m is given by the formula: m=f(x2)-f(x1)x2-x1 So, m=f(8)-f(1)...

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Q: Find the function value at first derivative 1. if f'(x) = (x* - 2)(x* - 5) find f(-1) 2. if f(x) = f...

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Q: Determine whe ther the series is Convergent test that you use. diver gent.write the exact or n=2

A: We have to check weather the given series is convergent or divergent.

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Q: Determine whether the improper integral converges or diverges. If it converges, determine the value ...

A: To check: Whether the integral converges or diverges. Given information: The integral is ∫16 2x-545d...