E Homework: Homework 5.6 Question 1, 5.6.1 Part 1 of 4 In 2012, the population of a city was 5.68 million. The exponential growth rate was 1.43% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 10 million? d) Find the doubling time. .... a) The exponential growth function is P(t) =. where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)

Q: dx xVxt-8

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A: Topic:-  limits   

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A: As you have asked multiple questions so I have answered first question as per the guidelines.

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A: Given query is to find the area of parallelogram.

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A: We know,  f(x,y)= ∫fxdx=∫fydy

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A: ∫un du=un+1n+1+C

Q: In | lim x |

A: We can solve the limit as below 

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A: I am attaching image so that you understand each and every step.

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Q: 1 3. lim x0 1-cos x =too -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x)

A: Let's find. 

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A: Given that: Size of population at any time t, P(t)=400e0.1t

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A: Let <an> be a sequence such that an≠0 for all n∈ℕ and an+1an→l . If l<1 ,then limn→∞ an=0.

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A: Given

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A: NOTE: Refresh your page if you can't see any equations. .

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A: We can find the derivative as below.

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A: given integral ∫4sin(2x){12-(ln|tanx|)2}

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A: We have to find correct form of the solution and we have find complementry solution in ans 2

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A: The given series is: ∑n=1∞nln n which is an alternating series with bn=(-1)n+1nln n, n≥1  

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A: Series  convergence and divergence 

Q: particle moves along the x axis so that its velocity at time t is given by v(t) = (t^6 -13t^4+12)/10...

A:

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A: Topic  =Limits

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A: NOTE: Refresh your page if you can't see any equations. . 3 column vectors of matrix A are

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A: Given:    2x2 Matrix is given

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A: We have to calculate dot products and find angle

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A: f(x) =-x+6 + 5                                      

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A: Given that: x=4t2+4t, y=5t+1

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A:

Q: Perform the indicated operation and simplify if possible. 17. 17 O A. V7 O B. 7 OC. V14 O D. V49

A: Topic:- simplification

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A:

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A: Given:  A model for tumor growth is given by the Gompertz equation, dVdt=aln b-ln VV, where a and b ...

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A: Find your answer below 

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A: Please see the below picture for detailed solution for detailed solution. 

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A:

Q: Find the least common multiple (LCM). 45, 56, and 150 O A. 12,600 О В. 1,050 С. 1,260 O D. 2,520

A: We can find the LCM as below.