|x| <1 For E x" by using write power series

Q: 13. (a) Find a number 8 such that if x- 2 < 8, then 4x - 8 < 8ɛ, where ɛ = 0.1. (b) Repeat part (a)…

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Q: Find f"(1)given f(x) = x Vx + 5x Зх. 2.

A: Given function is : fx=x2 x+5x2-3x=x2 x12+5x2-3x=x52+5x2-3x To find the value of f''1

Q: ****** x² x3 x4 +: 6 P4(x) = 1+ x + x +¬+ 2 24

A:

Q: Find the last three digits of 21140402 using eulers thm.

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Q: Can you show and explain what it means to take first difference of a time series

A: A time series is the sequence of observations taken sequentially in time.

Q: Start with an initial guess x = a₁. Then define a2 to be the x-intercept of the tangent of f(x) at…

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Q: 18

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Q: Given So (x) = exp{- (Ax + Bx² + D* – } In D Calculate |10930 ƒor t = 10 round to 4 decimal places…

A: t|10q30 is the probability that a life aged 30 years will survive the next t years and will die…

Q: Given the function f(x) = 3x² - 8x + 8. Calculate the following values: f(-2)= f(-1) = f(0) f(1) =…

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Q: t taken for an investment to increase by 20% when the interest rate is 6% is given by t= ln1.2/0.06.…

A: The time t taken for an investment to increase by 20% when the interest rate is 6% is given by…

Q: 3) Does E-1 ati converge? 00

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Q: Asum Series Sur 90 n.

A: First, we expand the sum

Q: 2) is E=1 2n convergent?

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Q: The number of deaths among members of the U.S. Navy in the first 3 months of the 1918 influenza…

A: (a) Numerical estimation of N with increase in t.

Q: PROVE THAT  x0.23 = 0.444078 SOLVE [(0.4-0.2)/(0.23-0.2)]=[(0.422845-0.447825)/(x0.23-0.447825)]

A: To prove that, x0.23=0.444078 by solving the following…

Q: Find the lower sum for f(x)=x2 over [−1,1] with n=4. Give your answer in fractional form.

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Q: 4- Suppose that you can learn N(t)= 64t - t³ words of a new language after 1 hours of study time. a-…

A: We have to find the rate in words per hour.

Q: How do I use Riemann's sums?

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Q: | (2/x-1)? dx= 4/x-ln x'+x+c. 1. 4/x+ln x*+x+c. 3. (-4)/x-ln xª+x+c (-4)/x-ln x+x+c.

A: Given: I=∫2x-12dx for evaluating given integral, first we expand given expression so, I=∫2x-12dx…

Q: why is it not +C  for (ln(3)+ln(5))/2

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Q: (iv) COS x -dx, 3.

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: 1. determine if it diverges or converges n e2n n=1

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Q: (a) Show that e /yu dy exists, by considering the series (e/n)". (b) Show that 1 (log n)los n…

A: Given : ∑n=2∞logn-k  and ∑n=2∞logn-n two series where 1st diverges and 2nd converges.  Integral test…

Q: 1- f, 2x e dx

A: integration is given below

Q: If 2 Cnx" is convergent when x=2 and divergent when x=-3, then 2 Cn is n=0 n =0 convergent. O…

A: Consider the given information: The series ∑n=0∞Cnxn is convergent when x=2 and divergent when x=-3.…

Q: 2/Solve the following sequence X(n)= n. "u(-n) by using the differentiation property of the…

A: As per the question we are given the following sequence : X(n) = n (1/9)-n u(-n) And we have to find…

Q: For what value of c would this series coverage?  ∞ Σ              1/n^(7c) n=1

A: